Answer:
x=9
Step-by-step explanation:
5( x + 7) - 3 ( x - 4) = 7x + 2
Distribute
5x+35 - 3x +12 = 7x +2
2x +47 = 7x+2
Subtract 2x from each side
2x+47-2x =7x -2x+2
47 = 5x+2
Subtract 2 from each side
47-2= 5x+2-2
45= 5x
Divide by 5
45/5 =5x/5
9 =x
Answer:
x = 9
Step-by-step explanation:
→Distribute the 5 to (x + 7), Distribute the -3 to (x - 4):
5(x + 7) - 3(x - 4) = 7x + 2
5x + 35 - 3x + 12 = 7x + 2
→Add like terms:
2x + 47 = 7x + 2
→Subtract 2x from both sides:
47 = 5x + 2
→Subtract 2 from both sides:
45 = 5x
→Divide both sides by 5:
9 = x
TX is the perpendicular bisector of Su. What is the length of SU?
Answer:
[tex]SU = 20[/tex]
Step-by-step explanation:
Given
Triangle TSU
Bisector TX
Required
Length of SU
A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;
This means that line TX divides line SU into two equal part.
This implies that
[tex]SU = SX + UX[/tex]
and
[tex]SX = UX[/tex]
Substitute [tex]SX = UX[/tex]; The expression becomes
[tex]SU = UX + UX[/tex]
Recall that [tex]UX = 10[/tex];
So, the above expression becomes
[tex]SU = 10 + 10[/tex]
[tex]SU = 20[/tex]
Hence, the length of is 20
The point (-3,2) lies on a circle. What is the length of the radius of the circle of the center is located at (-1,5)
just kidding its quadrant 3 but the negative number y so it would have to be positive x so you would or wouldnt have to move it
volume of the rectangle pyramid shown below 9in 8in 7 in
Answer:
168in³
Step-by-step explanation:
Volume of a rectangular pyramid is: [tex]V=\frac{lwh}{3}[/tex]
We are given the measurements of:
9 inches long
8 inches wide
7 inches tall
[tex]V=\frac{9*8*7}{3} \\\\V=\frac{504}{3} \\\\\boxed {V=168}[/tex]
The volume of the figure should be 168in³.
Describe how the graph would move from the parent function: y = |x+4| - 12
Answer:
The graph moves 4 right and 12 down.
Step-by-step explanation:
So let me rewrite the function into all variables:
y = |x + z| + a
If z goes up, the graph moves right.
If z goes down, the graph moves left.
If a goes up, the graph moves up
If a goes down, the graph moves down.
The graph moves 4 right and 12 down.
x ( y - x y ), where x= -5 and y= -2
Answer:
60
Step-by-step explanation:
-5(-2-10)
according to pemdas...solve parenthesis first
-5(-12)
= 60
Answer:
60
Step-by-step explanation:
x ( y - x y )
where x= -5 and y= -2
----------
-5(-2-(-5)(-2))=-5(-2-10)= -5(-12)= 60
C = 0.5n + 5
C=cost (£)
n=number of miles travelled
Calculate the cost of a journey that is 25 miles.
Show your working out and write the answer in the box below.
Answer:
cost of journey of 25 miles = £ 17.5
Step-by-step explanation:
Base on the equation the cost of the journey can be represented as
C = 0.5n + 5
where
C = cost in £
n = number miles covered
To calculate the cost of a journey that is 25 miles we have to insert the value of n as 25 in the equation. Therefore,
C = 0.5n + 5
n = 25
C = 0.5(25) + 5
C = 12.5 + 5
C = £ 17.5
cost of journey of 25 miles = £ 17.5
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 9), and then walks to a movie theater at (7, 9). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer: If their is a picture pls send it, if you dont know how look down :))
Step-by-step explanation: when you want to put a question, look for a pin then you can put pictures by that way :))
Can someone please help me I have to turn this in before 11:59pm
Answer:
[tex]x = \dfrac{147}{13}[/tex]
Step-by-step explanation:
Please refer to attached for labeling of the diagram:
We have 2 triangles here in the figure:
[tex]\triangle ABC \text{ and }\triangle BDE[/tex].
1. [tex]\angle B[/tex] is common to both the triangles.
Sides AC || DE (parallel sides):
So, Corresponding angles will be equal
2. [tex]\angle A = \angle D[/tex]
3. [tex]\angle E = \angle C[/tex]
So, [tex]\triangle ABC \text{ and }\triangle BDE[/tex] are similar to each other.
Similar triangles have ratio of their sides as equal.
So, [tex]AB : BD = BC : BE[/tex]
[tex]\Rightarrow \dfrac{6+7}{6} = \dfrac{21}{21-x}\\\Rightarrow \dfrac{13}{6} = \dfrac{21}{21-x}\\\Rightarrow 13 \times (21-x) = 21 \times 6\\\Rightarrow 13x = 7 \times 21\\\Rightarrow x = \dfrac{147}{13}[/tex]
Hence, [tex]x = \dfrac{147}{13}[/tex]
What is the inverse of this function? f(x)=e^x
Answer:
log x
Step-by-step explanation:
y= e^x
taking logaritm on both sides.
log y = x = f-¹(x)
Therefore inverse of function equals log y
plato gang :D
help me!
solve for y
Answer:
\sqrt{7}i or -\sqrt{7}i
Step-by-step explanation:
square root both sides of the equation
since you can't sqrt a negative number, you substitute sqrt of -1 to i
Which gets the answer.
Find the value of k so that x = -1 and y =-1 is a solution of the linear equation 9kx + 12ky = 63
Answer:
k = - 3
Step-by-step explanation:
Given
9kx + 12ky = 63
Since x = - 1 and y = - 1 are solutions of the equation
Substitute x = - 1 and y = - 1 into the equation and solve for k
9k(- 1) + 12k(- 1) = 63, that is
- 9k - 12k = 63
- 21k = 63 ( divide both sides by - 21 )
k = - 3
Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2). y = - 1/3x + 1 y = -3 x -1 y = 9 x -1 y = 1/3x -1
Answer:
y = - 1/3 x + 1
Step-by-step explanation:
(6, -1) and (-3, 2)
Slope = (y2 - y1)/(x2 - x1) = (2 - (-1))/(-3-6) = 3/(-9) = - (1/3)
y-int form is y = ma +b
y = - 1/3 x +b
(-3, 2)
2 = (- 1/3)*(- 3)+ b
2 = 1 + b
b = 1
y = - 1/3 x + 1
Right the slope form of a line with a slope of 2 and a Y intercept form of -4
Answer:
y = 2x - 4
Step-by-step explanation:
Slope intercept form should be the easiest because they give you all you need.
y = mx + b
m = 2
b = -4
y = 2x - 4
If a dilation is applied to a triangle, then the image must be
O a congruent triangle.
O a triangle that is flipped over a line of symmetry.
a triangle that is rotated about a given point
O a larger or smaller triangle.
Answer: it would be a congruent triangle
Step-by-step explanation:
i have no idea but i got it right :)
WILL MARK BRAINLIEST Please please help ASAP please I am begging!! Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C? Show your work and explain how to solve.
Answer:
95 degrees
Step-by-step explanation:
a triangle's interior angles add up to 180 add the two known angles subtract by 180 and you get the answer.
55 + 30 = 85
180 - 85 = 95
95 degrees
Answer:
C =95
Step-by-step explanation:
The sum of the angles of a triangle is equal to 180 degrees
A + B + C = 180
55 + 30 + C = 180
Combine like terms
85 + C = 180
Subtract 85 from each side
85+C - 85 = 180-85
C =95
Solve for g.
–19g = –20g + 12
g =
Answer:
g = 12
Step-by-step explanation:
–19g = –20g + 12
Add 20 g to each side
–19g+20 g = –20g+ 20g + 12
g = 12
Answer:
g = 12
Step-by-step explanation:
→The first step is to add 19g to both sides:
-19g = -20g + 12
+19g +19g
____________
0 = -g + 12
→Subtract 12 from both sides:
0 = -g + 12
-12 -12
_________
-12 = -g
→Divide both sides by -1:
12 = g
Given: ABCD is a kite.
Put a checkmark in every box that must be
true. Has two pairs of parallel sides
Has exactly one pair of parallel sides
All four sides are congruent
Has exactly one pair of congruent sides
Both pairs of opposite sides are congruent
Two pairs of consecutive sides
(but not all four sides) are congruent
There are right angles at all four vertices
The diagonals are perpendicular
The diagonals are congruent
The diagonals bisect each other
Ty
4
-6S
I
Use calculations and words to show
this quadrilateral meets the
definition of a kite.
Answer:
1) The correct options are;
Two pairs of consecutive sides (but not all four sides) are congruentThe diagonals are perpendicular2) Yes, the quadrilateral meets the condition for the definition of a kite
Step-by-step explanation:
1) A kite has two pairs of adjacent equal sides, therefore a kite consists of two isosceles triangles adjacent to each other sharing the same base
Which shows that the diagonals which consists of the base of the two isosceles triangles and the bisector of the angles on the opposite sides of the common base of the isosceles triangles are perpendicular to each other
Therefore, the correct options are;
Two pairs of consecutive sides (but not all four sides) are congruentThe diagonals are perpendicular2) The coordinates of the given quadrilateral are;
D = (-3, 4), A = (3, 6), B = (5, 0), C = (-2, -4)
Therefore, the length of DA = √((-3 - 3)² + (4 - 6)²) = 2·√10
the length of AB = √((5 - 3)² + (0 - 6)²) = 2·√10
The length of DC = √((-3 - (-2))² + (4 - (-4))²) = √(65)
The length of CB = √((-2 - 5)² + (-4 - 0)²) = √(65)
Therefore, the figure has two pairs of congruent consecutive sides but not all four sides
The slope of the bisector CA = (6 -(-4))/(3 - (-2)) = 2
The slope of the bisector DB = (0 - 4)/(5 - (-3)) = -0.5 = -1/2
Therefore, the diagonals are perpendicular which shows that the quadrilateral meets the condition for the definition of a kite.
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
I am thinking B
Step-by-step explanation:
I may be wrong
Correct me
Answer:
B impossible situation
Step-by-step explanation:
x = price of notebook
y = price of newspaper
40x +20y = 130 divide by 10 → 4x + 2y =13
8x + 4y =28 divide by 2 → 4x +2y = 14
there are 2 same equations with different answers so no solution
Can anybody help me solve for surface area? The formula is the sum of the areas of the faces.
I will mark as brainliest ASAP!
Answer:
Surface area of the given prism = 63 square feet
Step-by-step explanation:
Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles
Area of triangular bases = 2[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]] (Since the bases of this prism are right triangles)
= 3 × 3
= 9 square ft
Area of one vertical rectangular face = (Length × Width)
= (3 × 6)
= 18 square feet
Area of all vertical sides = 3 × 18 = 54 square feet
Total surface area = 9 + 54 = 63 square feet
Can someone please help me with this? It’s due in an hour
it is b I hope this work for you
Simplify. x^3 ÷ x^5
Answer:
x^-2
Step-by-step explanation:
(x*x*x)/(x*x*x*x*x)
1/x*x
1/x^2
x^-2
Answer: 1 / x^2
Step-by-step explanation:
x^3 / x^5
= x^-2
= 1 / x^2
solve 30-5x greater than 2x+9 and illustrate your answer on the number line.
Step-by-step explanation:
30 - 5x > 2x + 9
-7x > -21
x < 3
Amelia went to an amusement park with $45 to spend. She bought lunch for $10.25 and paid $5.00 for each ride. What is the greatest number of rides Amelia could ride?
Answer:
Your answer is $34.75
Step-by-step explanation:
plz mark me brainliest
Answer:
6
Step-by-step explanation:
There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?
A4%
B 0.25%
C20%
D25%
Answer:
d)25 percent
Step-by-step explanation:
5/20×100
0.25×100
25 percent
Mark brianliest if my answer suit your question.
The percentage of fruits that are apple are 25%.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Total fruits= 20
Number of apples= 5
let the percent of fruits that are apple be x.
So, x% of 20= 5
x/100 (20) = 5
x/5 = 5
x = 25%
Hence, the percentage is 25%.
Learn more about percentage here:
https://brainly.com/question/29306119
#SPJ2
A case of Dr. Pepper soda consists of 24 cans, arranged in 4 rows of 6. Each can has a radius of 4 cm. These cans fit neatly on top of a cardboard rectangle (bottom of box), before being packaged. How much empty space is on the cardboard rectangle after the cans are placed on top? (This is an area. Do not worry about the volume of the box.)
Step-by-step explanation:
each can is R is 4 so her width is 8. 6×8= 48 4×8=32 so it means the cardboard is 32×48. now calculate the area (1536 i think) and reduce 24×4^2×pi that this is the area of the cans.
You have a set of numeric tiles, from 1 to 6. You randomly choose one tile. How many possible outcomes are there?
Answer:
6
Step-by-step explanation:
There are 6 different tiles choose 1
There are 6 different possible outcomes
Can someone help me it’s geometry :(
Answer:
The vertical angles theorem
Step-by-step explanation:
The correct answer is the vertical angles theorem, which states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent
Answer:
Step-by-step explanation:
3) ∠JKN =∠ MKL Vertical angles theorem - Vertically opposite angles are equal
4) ΔJKN ≅ΔMKL AAS congruency
5) ∠J ≅ ∠ M CPCTC
PLEASE SOMEONE HELP ME ASAP!!!!!ANYONE PLEASE!!!!
Daniella works at a nearby electronics store. She makes a commission of 15% on everything she sells. If she sells a laptop for $293, how much money does Daniella make in commission?
A.$43.96
B.$43.95
C.$249.50
D.$24.95
Answer:
B.$43.95
Step-by-step explanation:
Commission = 15% of $
[tex] = \frac{15}{100} \times 293 \\ \\ = 0.15 \times 293 \\ = \$ 43.95[/tex]
HELLPPP ITS ABOUT FUNCTIONS EXPLANATION NEEDEDD HELPPP
Answer:
C y =2x -3
Step-by-step explanation:
The y intercept is the value when x =0
A y = -4x+15 The y intercept is 15
B The y intercept is -2
C y =2x -3 The y intercept is -3
D The y intercept is 2
The smallest ( least) y intercept is -3
Anyone know this one ?
The answer is B i.e. one