Answer:
5x - 2 = (-9x) + 8
5x + 9x = 8 + 2
14 x = 10
x = 10 / 14
x = 5/7
Answer:
5 / 7
Step-by-step explanation:
Step 1: Move the variables to one side and the numbers to the other. We get 14x = 10.
Step 2: Then we solve for x. x is equal to 10 / 14, which simplifies to 5 / 7.
Write the relation as a set of ordered pairs. a. ordered pairs: {(–3, 3), (0, 0), (2, –2)} b. ordered pairs: {(3, –3), (0, 0), (–2, 2)} c. ordered pairs: {(3, –3), (0, 0), (2, d. ordered pairs: {(–2, 2), (0, 0), (3, –3)}
The relation written as a set of ordered pair is given as: : {(–2, 2), (0, 0), (3, –3)}. (Option D)
What is an ordered pair?An ordered pair is a in math is one that comprises coordinates of one point in the coordinate system where the first is the x coordinate and the other is representative of the y coordinate.
Thus the correct ordered pair is option D. See the graph attached.
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Eva has put down three rows of tiles across the width of the kitchen. Each square tile is 17.5 cm wide. Between the tiles she puts a layer of glue 4mm thick. work out the total length of the floor that Eva's three rows of tiles cover so far.
Divide 140 in the ratio 2:5
Answer:
40 : 100
Step-by-step explanation:
→ Find the sum of the ratio
2 + 5= 7
→ Divide 140 by the answer
140 ÷ 7 = 20
→ Multiply each part of the ratio by 20
40 : 100
state whether or not the relation is considered a function?
Answer:
A function is when each input has exactly one output
Step-by-step explanation:
Each input can only have one output, but an output can have multiple inputs.
√2/√2+√3-√5 rationalise the denominater
Answer:
Multiply the denominator and numerator with root 2 to get a fair denominator and simplify if needed. Hope it helps
Answer:
1 + √3 - √5
Step-by-step explanation:
The given √2/√2 equals 1, and so we now have 1 + √3 - √5, whose denominator is the integer 1. There's nothing left to rationalize.
Please help! What is 7 days 8 hours 20 minutes - 4 days 10 hours 30 minutes?
Answer:
2 days 21 hours and 50 minutes
Step-by-step explanation:
There are a couple of ways to solve this. Here is my approach
Convert everything to the lowest unit ie minutes, find the difference and then find the equivalent days, hours and minutes
Note
1 hour = 60 minutes
1 day = 24 hours * 60 minutes/hour = 1440 minutes
So,
7 days, 8 hours, 20 minutes = 7 * 24 * 60 + 8 * 60 + 20 = 10580 minutes
4 days, 10 hours, 30 minutes = 4 * 24 * 60 + 10 * 60 + 30 = 6390 minutes
Difference(elapsed time) = 10580 - 6390 = 4190 minutes
Convert 4190 to days, minutes and hours. This is a process of using whole division to find the quotient and remainder successively
For days, divide by 1440 which is the number of minutes in a day:
4190 minutes ÷ 1440 minutes = 2 whole days with remainder of 1390 minutes
For hours divide by 60 which is the number of minutes in an hour:
the remainder 1390 minutes ÷ 60 minutes = 21 whole hours with remainder of 50 minutes
So 4190 minutes == 2 days, 21 hours and 50 minutes
What is the greatest common factor of 10 and 3? i dont get this i have a math touter that wont really help and i still dont understand. by the way i was not using brainly touter.
if u have the time to help please answer
Answer:
1
Step-by-step explanation:
listing the factors of both numbers
factors of 10 are 1, 2, ,5, 10
factors of 3 are 1, 3
the only common factor to both is 1
the greatest common factor is 1
Solve for x in the diagram below.
Answer:
x = 20°
Step-by-step explanation:
x° + 2x°+ (x+10)° = 90°
4x° + 10° = 90°
4x° = (90 -10)°
x° = (80/4)°
x = 20°
Hope this helps
Answer:
x = 20
Step-by-step explanation:
Key points:
understanding diagram notationunderstanding the Angle Addition PostulateDiagram notation
In the diagram, there are three angles, each with an expression representing the measure of their angle (in degrees). Angles are adjacent (next to each other with the same vertex) such that collectively they form one large angle.
The small square in the lower left corner means that the large angle is a right angle. All right angles are 90°.
Note: The expressions for each angle all have a degree marking, so each angle is measured in degrees. The unknown value x, is a number without any units, the expression is simplified, and then the units "degrees" are applied. So in the end, the answer for "x" will not have units; "x" will just be a number.
Angle Addition Postulate
The Angle Addition Postulate states that the sum of the measures of two adjacent angles is equal to the measure of the large angle formed by those adjacent angles.
[tex](\text{measure of first angle})+(\text{measure of second angle})=(\text{measure of the combined angle})[/tex]
Solving the given problem
By applying the Angle Addition Postulate a couple times, the sum of the measures of all three angles in the diagram is equal to the measure of the large angle formed by those three angles.
[tex](\text{measure of first angle})+(\text{measure of second angle})+(\text{measure of third angle})=(\text{measure of the large right angle})[/tex]
or
[tex](x)+(2x)+(x+10)=(90)[/tex]
From here, to solve for x, we'll need to combine like terms, isolate x, and simplify.
Start with the Associative Property of Addition to combine like terms:
[tex](x+2x+x)+10=90\\4x+10=90[/tex]
To isolate x, subtract 10 from both sides and simplify...
[tex](4x+10)-10=(90)-10\\4x=80[/tex]
... then divide by 4 on both sides and simplify.
[tex]\dfrac {4x}{4}=\dfrac {80}{4}\\x=20[/tex]
So, x=20
System of equations
y = x² + 2x + 7
6x=y=3
What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
3x - 4y = -17
3x - 4y = -20
4x + 3y = -2
4x + 3y =-6
Step-by-step explanation:
Let, the given point of the equation of the line are (3,-1) and (0,3) i.e
(x1,y1)=(3,-1) and (x2,y2) = (0,3)
Now,
The slope of the line (m1) = y2-y1 ÷ x2-x1
= 3-(-1) ÷ 0-3
= 3+1 ÷ -3
= 4/-3
since, the lines are parallel i.e.
m1 = m2
or, m2 = -4/3
Again,
The required equation of the line passing through the point (-3,2)=(x1,y2) is
y-y1 = m2(x-x1)
or, y-2 = -4/3 ( x +3)
or, 3(y-2) = -4(x+3)
or, 3y-6 = -4x - 12
or, 4x+3y = -12+6
Therefore, 4x+3y = -6 is the right answer.
Which term describes the red curve in the figure below?
what is the answer I need this to pass
The correct answer is option A which is segment D which is closer to home.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
From the given graph we can see that in segment D the distance between the home and the person is lesser than all the segments given in the graph.
Therefore the correct answer is option A which is segment D which is closer to home.
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The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Find an expression for the area of the tiled floor.
The expression for the area of the rectangular swimming pool is given as follows:
A = w² + 100w + 2100.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of these measures, that is:
A = lw.
In this problem, considering the width of 70 meters and a length of 30 meters, plus the floor of w meters, we have that:
l = 30 + w.wi = 70 + w.Hence the area is given as follows:
A = l x wi = (30 + w)(70 + w) = w² + 100w + 2100.
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a. What type of triangle is Triangle ABC?
b. Give reasons for your answer
Since two of the angles are equal, hence the triangle ABC is isosceles triangle
What is a triangle?A triangle is a 2D shape that has 3 sides and angles
From the given triangle
<CAB = 50 (alternate angle) and;
<ACB = 180 - (50 + 80)
<ACB = 180 -130
<ACB = 50 degrees
Since two of the angles are equal, hence the triangle ABC is isosceles triangle
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An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?
The inequality x ≤ 88 represents the situation, and the line graph first represents the solution to the inequality option first is correct.
What is inequality?
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The missing options are in the picture, please refer to the picture.
We have:
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane.
Let's suppose the number of tickets is represented by x
Total number of passengers = 175
The inequality can be framed:
x + 87 ≤ 175
x ≤ 88
Thus, the inequality x ≤ 88 represents the situation, and the line graph first represents the solution to the inequality option first is correct.
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The circumcenter is the center of the. circle
The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.
The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.
Answer: Another name of circumcenter is, " Circumscribed circle ". The circumcenter is the center point of the circumcircle drawn around a polygon. The circumcircle of a polygon is the circle that passes through all of the polygon's vertices & the center of that circle is called the circumcenter. All polygons that have circumcircles are known as cyclic polygons. However, all polygons does not have a circumcircle. Only regular polygons, triangles, rectangles, and right-kites can have the circumcircle and thus the circumcenter as well.
You may find that the circumcenter of a triangle as the most common thing asked in exams and it is generally what schools begin with. So, some brief information about the circumcenter of a triangle is given below. You may safely ignore them if you haven't learned them yet.
The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (meeting at one point). All triangles are cyclic and hence, can circumscribe a circle, therefore, every triangle has a circumcenter.
Property 1: All the vertices of the triangle are equidistant from the circumcenter.
Property 2: All the new triangles formed by joining O to the vertices are Isosceles triangles.
Property 3: Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle
Property 4: In an acute-angled triangle, circumcenter lies inside the triangle
Property 5: In an obtuse-angled triangle, it lies outside of the triangle
Note- Location for the circumcenter is different for different types of triangles.
The circumcenter of any triangle can be constructed by drawing the perpendicular bisector of any of the two sides of that triangle. The steps to construct the circumcenter are:
Step 1: Draw the perpendicular bisector of any two sides of the given triangle.Step 2: Using a ruler, extend the perpendicular bisectors until they intersect each other.Step 3: Mark the intersecting point as P which will be the circumcenter of the triangle. It should be noted that, even the bisector of the third side will also intersect at P.P(X, Y) = [(x1 sin 2A + x2 sin 2B + x3 sin 2C)/ (sin 2A + sin 2B + sin 2C), (y1 sin 2A + y2 sin 2B + y3 sin 2C)/ (sin 2A + sin 2B + sin 2C)]
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
12. For which of the following quadratic equations are the roots 2 and 57
O A. x²-3x - 10=0
B. x² - 11x 10 = 0
c. x² - 7x + 10 = 0
D. x² + 7x-10=0
O
O
O
Answer: x²-59x+114=0
explanation:
If the roots are 2 and 57, then:-
sum of roots = 2+57 = 59
and, product of roots = 2×57 = 114
the quadratic equation is given by,
x²-(sum of roots)x+(product of roots)=0
so, x²-59x+114=0 will be the desired quadratic equation.
so, none of the options are correct.
the correct answer is x²-59x+114=0.
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the length of a rectangle is five times its width. If the perimeter of the rectangle is 84 in, find its length and width
Answer:
width=14 &Length = 70( can add unit behind the answer e.g.cm or mm etc..)
Step-by-step explanation:
we know that in a rectangle not all side are same compare to a square..
therefore:
1) write the formula for perimeter down
perimeter = the sum of all side
perimeter = 2x(width) + 2x(length)
P=2(w)+2(L)
2) substitute into the equation
P =2(w)+2(L)
84=2(w)+2(5*w)
3) perform opposite operation to make w become the subject of the formula inorder to find width
48=2(w)+2(5*w)
48=2w+10w
48=12w
48/12=12w/12( the twelves cancels out)
7=w or the width is 7
4) rewrite the formula and solve
P=2(w)+2(L)
P =2(7) + 2(5*7)
P = 14 + 70
P = 48
Can someone look at this image ?
Answer:
3x-2y=13
Step-by-step explanation:
The scale on a map is 1 : 25000
How many kilometres on the ground is represented by 7 cm on the map?
Answer:
175000 km
Step-by-step explanation:
the 1:25000 essentially means that every centimeter represents 25000 kilometers. so the answer is 175000 by multiplying 7 and 25000
Timothy is 13 5/6 years old. Camden is 1 1/3 years younger than Timothy and Jane is 1 1/4 years younger than Camden. How old is Jane?
Answer:
Jane is 11 1/4 years old.
Step-by-step explanation:
Subtract all of the numbers given.
[tex]13\frac{5}{6} -1\frac{1}{3} -1\frac{1}{4}[/tex].
To subtract this, we need to find a common denominator.
A common denominator in this situation is 12. To do this multiply the 5 and the 6 of 5/6 by 2. Multiply the 1 and the 3 of 1/3 by 4. And multiply the 1 and the 4 1/4 by 3.
The new expression will look like this:
[tex]13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}[/tex].
Now we can subtract.
[tex]13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}=11\frac{3}{12}[/tex]
Reduce the answer.
[tex]11\frac{3}{12}=11\frac{1}{4}[/tex]
In decimal form 11.25
Hope this helps!
If not, I am sorry.
Luis and Raul are playing Odds or Evens. Both friends flip a coin. If both coins land on heads or if both coins land on tails, then Luis wins both coins. If one coin lands on hea
No, the game is not fair because Raul has a higher probability of winning than Luis.
Yes, the game is fair because both friends have an equal probability of winning.
No, the game is not fair because Luis has a higher probability of winning than Raul.
Yes, the game is fair because the friends do not have an equal probability of winning.
Answer:
B
they both have equal probability of winning as both of them have a 50/50 chance of winning
Step-by-step explanation:
Yes, the game is fair because both friends have an equal probability of winning.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The game of Odds or Evens is not fair because Raul has a higher probability of winning than Luis.
In this game, the probability of both coins landing on heads or both coins landing on tails is 1/2 * 1/2 = 1/4.
Therefore, there is a 1/4 probability that Luis will win both coins.
However, there is a 1/2 probability that one coin will land on heads and the other will land on tails. In this case, Raul will win both coins because he chose "evens" and the sum of the numbers is even.
The sum of two random coin flips has an equal probability of being even or odd, so the probability of Raul winning both coins is 1/2.
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Given the function f(x) = −5x2 − x + 20, find f(3).
Answer:
-28
Step-by-step explanation:
put 3 where is x
f(x) = −5(3)^2 − (3) + 20
exponents flrst
(−5*9) − (3) + 20
-45 -3 +20
-48 + 20
-28
Determine the measure of the indicated angle!
The measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have triangles shown in the picture.
In the first triangle SUT:
PU is bisecting the angle SUT:
The measure of angle PUT:
Angle PUT = Half of Angle SUT
= 26/2
= 13 degrees
In the triangle SQR:
Angle SQP = Angle PQR
Angle SQP = 21 degrees
Angle PQR = 21 degrees
Thus, the measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees
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2/6+5/6 as a whole number
Answer: 2/6+5/6 + 1.167
Answer:
1.16
Step-by-step explanation:
Solve: −4b+4b≥6(−5b+7)−3(b+3)
Answer:
Inequality Form:
b ≥ 1
Interval Notation:
[1,∞)
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)² = 19
☐A. X=
14
B. X= -√19+5
□ C. x= -√19 +5
3
□ D. X = √19 +5
3
DEX=√14
OF X= √19+
Answer:
[tex]\sf x = \dfrac{\sqrt{19}+5}{3} \ ; \ x = \dfrac{-\sqrt{19}+5}{3}[/tex]
Step-by-step explanation:
(3x - 5)² = 19
To find the solution for the equation, take square root on both sides.
[tex]\sf 3x - 5 = \± \sqrt{19}\\\\ Add \ 5 \ to \ both \ sides \\\\ 3x = \±\sqrt{19} + 5\\\\ Divide \ both \sides \ by 3\\\\ x = \dfrac{\±\sqrt{19}+5}{3}\\\\x = \dfrac{\sqrt{19}+5}{3} \ ; \ x = \dfrac{-\sqrt{19}+5}{3}[/tex]
Which of the following equations is equivalent to the logarithm equation below E^x=4 A.x=log(10)^4 B.x=In^4 C.x^4=e D.Inx=4
Solving the exponential function, the resulting logarithmic expression is:
x = ln(4).
How to solve an exponential function?Considering an exponential equation involving Euler number e, the expression is solved applying the natural logarithm ln, which is the inverse function to the exponential function, to both sides of the equation.
Hence:
[tex]e^{x} = 4[/tex]
Applying ln to both sides:
[tex]\ln{e^x} = \ln{4}[/tex]
Since ln and e are inverse, we can isolate x, hence:
[tex]x = \ln{4}[/tex]
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Question 2
In Question 1, what do you notice about the y-coordinates before and after a horizontal stretch? What do you notice about the x-coordinates
before and after a vertical stretch?
Answer:
The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.
Step-by-step explanation:
annalise makes rectangular patchworks quilts out of leftover fabric scraps. the first scrap she is using to make a quilt has a width of 2x feet and a length of 5x feet. when finished, the entire quilt will be 5 feet wider and 3 feet longer than the first scrap used. which of the following functions will give the area, f(x), of the quilt in square feet ?
The area is given by f(x) = 10x² + 31x + 15.
The function is a rectangle's area function. We know that a rectangle is a flat, four-sided shape with straight sides and right-angled interior angles. Additionally, the opposing sides are parallel and of the same length.
Rectangle Area = Length * Width
The length of fabric scrap is 5x. So, the rectangular patchwork's length will be 5x + 3.
Since the width of the fabric scrap will be 2x, the rectangular patchwork's width will be 2x + 5.
Then area = f(x) = (5x + 3)(2x + 5) = 10x² + 25x + 6x + 15 = 10x² + 31x + 15
Therefore the area is given by f(x) = 10x² + 31x + 15.
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