Answer:
2,4
Step-by-step explanation:
This question is quite simple. First you need to find the factors of 8. Then you need to see which factors of positive 8 can add up to make -6. The factors are -4 and -2. Then expand. Now you have the equation x^2-4x-2x+8. Now group it.
(x^2-4x) +(-2x+8)
Then take out the X from the first group and the -2 from the second. We want the values in the brackets to be the same.
Now you have
x(x-4)-2(x-4)
Take the x and the -2x and make it a group. Now you have (x-4)(x-2)
Set x-4 equal to zero. x-4=0 Now solve it like a regular equation. Add four to both sides. Now you have x=4
Do the same thing with (x-2) and you get x=2
4 and 2 are your solutions
Answer:
x = 4 and x = 2
Step-by-step explanation:
The easiest way to find the roots is by converting the function into its factored form. This can be determined by asking the question:
What two numbers have a product 8 and a sum of -6?
These two values are -4 and -2.
-4 x -2 = 8
-4 + (-2) = -6
These two numbers are used in the factored form of the equation. You can prove the accuracy of the factored form by re-expanding it (multiply all the terms in the first parentheses by the terms in the second parentheses). The factored form looks like this:
(x - 4)(x - 2)
The roots are the values that make the expression equal 0. This can be done by setting each parentheses equal to 0 and solving for "x".
x - 4 = 0 x - 2 = 0
x = 4 x = 2
Therefore, the roots of the function x² - 6x + 8 are x = 4 and x = 2.
help me pls thank you
Answer:
i don't think you can create a triangle
Step-by-step explanation:
you need it to be a<b+c
Logan has several job offers in different cities. what should he research to determine how much money he will have to spend as he wishes? cost of living in each location schedule he will be required to work number of libraries, parks, museums, and sporting event locations in each city distance each city is from his family and friends
Before Logan accepts any of the job offers in the several cities that he got, he must consider the cost of living in each location.
Factors to consider when moving to a new cityWhen moving to a new city, certain considerations are of utmost importance to the individual irrespective of the kind of job he/she does.
Before Logan accepts any of the job offers in the several cities that he got, he must consider the cost of living in each location.
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Answer:
I believe the answer is A. Cost of living in each location
Step-by-step explanation:
give two coterminal angles (one positive and one negative) and the reference angle. 290
The coterminal angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.
What is coterminal angles?Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have an angle:
290 degree
To find the coterminal angle, add and subtract 360 degree in the angle 290 degree.
Coterminal angle = 290 + 360 = 650 degree
= 290 - 360 = -70 degree
Reference angle = 360 - 290 = 70 degree
Thus, the coterminal angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.
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Need help 10 points
Answer:
50.24
Step-by-step explanation:
8 is the radius of the circle, so using A=πr^2, the equation would be A=(3.14*8^2)/4
(Dividing by 4 because we are solving for 1/4 of a circle, and substituting pi for 3.14)
(3.14*8^2)=200.96
200.96/4=50.24
pls help me out i cannot solve this, this is khan academy btw
The graphed inequality can be written as:
y < -(4/3)*x + 5
How to find the inequality?
At first, we can notice two things, the shaded region is below the line, and the line is a dashed line, so we know that the inequality will be:
y < linear equation.
The linear equation is something like:
y = a*x + b
By looking at the graph, we can see that the line passes through (0, 5) and (3, 1).
So the y-intercept is 5.
And the slope is:
a = (1 - 5)/(3 - 0) = -4/3
So the linear equation is:
y = -(4/3)*x + 5
And the inequality is:
y < -(4/3)*x + 5
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SOMEONE PLEASE HELPPPP
I need help on 3 and 4
Answer:
Step-by-step explanation:
Parallel lines and transversal:Linear pair: When the uncommon arms of two adjacent angles form a straight line, the adjacent angles are called linear pair and they add upto 180
3) ∠3 + ∠2 = 180
65 + ∠2 = 180
∠2 = 180 - 65
∠2 = 115°When parallel lines are intersected by transversal, alternate exterior angles are congruent.
a // b and d is transversal.
∠5 = ∠11
∠5 = 100°
When parallel lines are intersected by transversal, the alternate interior angles are congruent.
a // b and c is transversal
m∠13 = ∠3
∠13 = 65°
4) ∠3 & ∠14 are co-interior angles. Co-interior angles are supplementary.
∠3 + ∠14 = 180
65 + ∠14 = 180
∠14 = 180 - 65
∠14 = 115°
∠5 + ∠8 = 180 {Linear pair}
100 + ∠8 = 180
∠8 = 180 - 100
∠8= 80
∠9 = ∠11 {vertically opposite angles are congruent}
∠9 = 100
∠ 3 + ∠14 + ∠ 8 + ∠9 = 65 + 115 + 80 + 100
= 360°
A 0.25 kg baseball is in contact with a bat for 0.0075 s and exerts a force of 18,500 n. what impulse is delivered to the ball? 33 kg • meters per second. 140 kg • meters per second. 4600 kg • meters per second. 74,000 kg • meters per second.
The impulse delivered to the baseball is 140kgm/s.
Option B) 140 kg • meters per second is the correct answer.
What is Impulse?An impulse is simply a concept that involves the change in the momentum of an object when force is introduced for a period of time.
It is expressed as;
ΔP or Change in Momentum = F × t
Where F is force applied and t is the elapsed time.
Given that;
Mass of baseball m = 0.25kgTime of contact t = 0.0075sForce exerted F = 18500N = 18500kgm/s²Impulse ΔP = ?We substitute our given values into the expression above to determine the impulse.
ΔP = F × t
ΔP = 18500kgm/s² × 0.0075s
ΔP = 18500kgm/s² × 0.0075s
ΔP = 138.75kgm/s = 140kgm/s
Therefore, the impulse delivered to the baseball is 140kgm/s.
Option B) 140 kg • meters per second is the correct answer.
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Answer:
(B)
Step-by-step explanation:
I took the test
Pleaseee help)Put the following numbers in order from least to greatest:
-2 7/16, 1/8, -1 1/2, -1 3/4
Answer:
-2 7/6, -1 3/4, -1 1/2, 1/8
Step-by-step explanation:
The "greater" the number is when it's negative, the less value it actually holds. Therefore, -1 3/4 is less than -1 1/2!
ANSWER ASAP, find the area. Use 3.14 if needed. Round to nearest hundredth
Two forces of 494 newtons and 590 newtons act on a point. The resultant force is 1079 newtons. Find the angle between the two forces.
Answer:
Use Law of Cosines
Step-by-step explanation:
1079²= 590² + 494²- (2)(590)(494) cos θ.
Find the volume of a cone with a diameter of 12 cm and a height of 7 m
Answer:
263.76 m^3
Step-by-step explanation:
Using 3.14 as pi
pi * radius^2 * height / 3
3.14 * 6^2 * 7 / 3
3.14 * 36 * 7 /3
3.14 * 252 /3
3.14 * 84
263.76
Pleasei will give you os many point
Answer:
x = 39°
Step-by-step explanation:
for right angle triangle ABD
BD^2 = 36 + 64 = 100
BD = 10
use sine law
sin (29) / BD = sin (x)/ DC
sin (29)/ 10 = sin x/ 13
sin x = 13 sin (29)/ 10
First solve for BD:
a² + b² = c²6² + 8² = BD²BD² = 36 + 64BD² = 100BD = √100BD = 10Then use sine rule:
sin(A)/a = sin(B)/binsert values
sin(29)/10 = sin(x)/13exchange sides
sin(x) = 13sin(29)/10simplify
sin(x) = 6.302525/10sin(x) = 0.63change side
x = sin⁻¹(0.63)x = 39.06875°rounded to nearest hundredth
x = 39.07°how many miles per gallon did mr.crosby's car get if he drove 200 miles on 15 gallons of gas
Answer:
13.33 miles
Step-by-step explanation:
let the miles per gallon = X
from the question,
200miles--------------15gallons
X miles-------------------1 gallon
cross multiplying
X×15 = 200×1
dividing bothsides by 15
X= 200/15
X= 13.33 miles.
HELP ASAP
Which of the following are equations for the line shown below? Check all that
apply
The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.
What is the equation of line?The equation of the line is the way of representation of a line in the equation form.
The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
The formula to find equation of line is,
(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)
Here, x and y are the coordinate and subscript (1,2) used for the first and second point.
The points from which the line passes through are (2,5) and (-2,-3). Put the values,
(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)
(y-(-2))={(-3-5)/(-2-2)}(x-2)
y+2={-8/-4}(x-2)
y+2=2(x-2)
y+2=2x-4
y=2x-4-2
y=2x-6
Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.
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Put these fractions in order of size, smallest to largest.
7/10 2/3 4/5 11/15
Step-by-step explanation:
2/3
7/10
11/15
4/5
(if you struggle with identifying when one fraction is bigger or smaller than another, just convert it to decimals in a calculator)
Hope this helps
Which is equal to ???
Answer:
[tex]csc54[/tex]°
Step-by-step explanation:
[tex]sec36[/tex]° = [tex]\frac{1}{cos36}[/tex]
and; [tex]\frac{1}{cos36} = \frac{1}{sin 90 -54}[/tex] ... (co-functions)
and [tex]\frac{1}{sin90-54} = csc54[/tex] .... (csc in the reciprocal of sin)
Find the value of x
Answer:
x = 45
Step-by-step explanation:
Solve the entire figure first
First right triangle:
A = 36
B = 48
C = _
Using Pythagoras theorem to find the hypotenuse
a² + b² = c²
Plug in:
36² + 48² = 84²
1,296 + 2,304 = 3,600
Find the square root of √3600
⇒ √3600 = √( 2 × 2) × (2 × 2) × (3 × 3) × (5 × 5)
⇒ = 2 × 2 × 3 × 5
⇒ 60
The hypotenuse of the bottom right triangle is 60.
Now that we have the given value of the missing line separating both right triangles.
A = 60
C (hypotenuse) = 75
To find the missing side,
use this formula:
c² - a² = b² ---> hypotenuse minus the given side value
Plug in:
75² - 60² = 2,025
Find the square root:
⇒ √2025 = √ ( 3 × 3 ) × ( 3 × 3 ) × ( 5 × 5 )
⇒ 3 × 3 × 5
⇒ 45
Therefore, the missing x value on the second right triangle is 45.
Clare is playing a game with her 4-year-old cousin. There are 100 game tiles in a bag. Each
tile has either a shape or a monkey on it. Clare picks a tile out of the bag, records the result,
and then places it back in the bag. She does this 15 times and gets 1 star, 2 circles, 3
squares, 3 triangles, and 6 monkeys
the answer of the question is :
200 games because the square root of 2 is 4
helppppppppppppppppp
Answer:
42 cm²
Explanation:
cut into 2 rectangles
area of rectangle: Length * Width
4 * (3+3+3) + 3 * 24 * 9 + 636 + 642 cm²The number of nails of a given length is normally distributed with a mean a length of 5 in. and a
standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are between 4.97
in. long and 5.03 in. long?
ut 57 nails
out 60 nails
out 82 nail
Answer:
82 nails
Step-by-step explanation:
4.97 and 5.03 are both one standard deviation from the mean...
z scores . 8413 and .1587
.8413 - .1587 = .6826 or 68.26 % of the nails are in this range
68.26 % * 120 = ~82 nails
−5x 5 y 5 (−6xy 3 ) simplify
Answer:
|-2| + 2
Step-by-step explanation:
-4 / 2-5i
cos (x) / 1 - sin squared (x)
|-2| + 2
Answer:
Step-by-step explanation:
Expression multiplication:[tex]\sf -5x^5*y^5 *(-6xy^3) = (-5)*(-6) *x^{5+1}*y^{(5+3)}\\[/tex]
[tex]\sf = 30x^6y^8[/tex]
Graph the equation y=-1/8x^2+x-4
evaluate the following
a) 4!=
b) 0!=
c) 2! + 3!=
d) 3! x 4!
e) 10! / 7!
Answer:
See below for answers and explanations
Step-by-step explanation:
4! = 4*3*2*1 = 24
0! = 1
2! + 3! = 2*1 + 3*2*1 = 2 + 6 = 8
3! * 4! = 3*2*1 * 4*3*2*1 = 6 * 24 = 144
10! / 7! = 10*9*8*7*6*5*4*3*2*1 / 7*6*5*4*3*2*1 = 10*9*8 / 1 = 720
From -6 f to 2 f is that increasing or decreasing?
Answer:
Increasing, because it's going from a negative number to a positive number
Step-by-step explanation:
Mathematics
This question has four parts. Be sure to label each part of your response.
A coach recorded the number of goals scored by a soccer team in each of its last
3, 2, 10, 2, 1, 5, 3, 2, 1,5
A. What are the first quartile, the median, and the third quartile of the data? Be sure to label each one,
B. What is the interquartile range of the data? Show or explain how you got your answer.
C. The value 10 in the data is an outlier. Explain how this outlier affects the distribution of the data,
D. If the value 10 in the data is replaced by the mode, by how much will the mean change? Show or explain how you got your answer.
Answer:
there no data
Step-by-step explanation:
Find the median of the first and third quartiles81, 69 ,90, 79, 59, 125, 95, 116, 183, 97, 92, 50, 122, 55, 9250, 55, 59, 69, 79, 81, 90, 92, 92, 95, 97, 116, 122, 125, 183.The first quartile: 50, 55, 59, 69, 79, 81, 90: median of the first quartile is 69The third quartile: 92, 95, 97, 116, 122, 125, 183: median of the third quartile is 116.The interquartile range is the difference between the median of both the first and third quartile: which is 116 - 69 = 47.There are no outliers in this set of data
The final scores from the last five games of two basketball teams are given. Jumping Jackrabbits: 70, 65, 72, 80, 73 Leaping Lizards: 61, 47, 70, 63, 54 Determine the MAD of each data set. In your work, show the mean and the absolute deviation of each data value in each set. Compare and interpret the MADs in context of the situation.
PLS PLS HELP ME
The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.For the Jumping Jackrabbits and the Leaping Lizards, the mean and the MAD are given as follows:
M = (70 + 65 + 72 + 80 + 73)/5 = 72
MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.
M = (61 + 47 + 70 + 63 + 54)/5 = 59
MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.
The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.
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Write an equation for this model and solve for `x`
one of the exterior Angles of a triangle is 125°and the interior opposite angles are in the ratio 2:3 please find the Angles of the triangle
Answer:
Angles of the triangles are 55° , 50° , 75°
Step-by-step explanation:
Exterior angle property of triangle:The exterior angle of a triangle equals the sum of opposite interior angles.
Ratio of interior opposite angle = 2 : 3
Interior opposite angles are 2x , 3x
2x + 3x = 125
5x = 125
x = 125/5
[tex]\boxed{x = 25}[/tex]
2x = 2*25 = 50°
3x = 3*25 = 75°
Let the third angle of the triangle = y
Sum of all angles of triangle = 180
50 + 75 + y = 180
125 + y = 180
y = 180 - 125
y = 55°
Angles of the triangles are 55° , 50° , 75°
does someone mind helping me with this problem? Thank you!
Answer:
a = 12
Step-by-step explanation:
Pythagoras’ Theorem
a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
leg a = aleg b = 9hypotenuse c = 15Substituting these values into the formula and solving for b:
⇒ a² + 9² = 15²
⇒ a² + 81 = 225
Subtract 81 from both sides:
⇒ a² + 81 - 81 = 225 - 81
⇒ a² = 144
Square root both sides:
⇒ √(a²) = √(144)
⇒ a = 12
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the value of a using Pythagoras theorem ~
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: a {}^{2} = {15}^{2} - {9}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= \sqrt{225-81} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= \sqrt{144} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= 12\: units[/tex]
2 questions in the pictures, it's grade 9 algebra 1 giving brainliest for first answer 50 points
write the above equation in the form of y = g(x).
⇒ y = (0.5)x + 3 – 4
Now, we convert the equation into y = mx + c form.
⇒ y = (0.5)x - 1
Here, we see that m = slope = 0.5, and c = y-intercept = -1.
Hence, the graph of g(x) = (0.5)x + 3 – 4 is a straight line with slope = 1/2 and y-intercept = -1.