Answer:
The distance from the base of the ladder to the base of the house is 10ft
Step-by-step explanation:
From the question, we can gather that the ladder makes a right angle shape with the wall of the house.
The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft
To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides
We have established that the hypotenuse is the length of the ladder which is 26ft
Let the distance we want to calculate be d
26^2 = 24^2 + d^2
d^2 = 26^2 -24^2
d^2 = 676 - 576
d^2 = 100
d = square root of 100
d = 10ft
Answer:
10
Step-by-step explanation:
24^2 = 576
26^2 = 676
676 - 576 = 100
the square root of 100 is 10 so the answer is 10
Please help I have been stuck on this question
Evaluate: 4 + 8 / 2 * (6 + 3)
Answer:
40
Step-by-step explanation:
4 + 8 / 2 * (6 + 3)
Parentheses first
4 + 8 / 2 * (9)
Then multiply and divide from left to right
4 + 4 * (9)
4 + 36
Then add and subtract
40
Answer:
40
Step-by-step explanation:
PEMDAS
(6+3) = 9 4+8/2*(9)
8/2 = 4 4+4*(9)
4*9 = 36 4+36
36+4 = 40 40
two number pairs that belong to the function
y = –3x + 250.
Answer:
(0, 250)
(-250/3, 0)
Step-by-step explanation:
These are the intercepts and are points in the function
Answer:
(0,250)
(1,247)
Step-by-step explanation:
y = –3x + 250.
Let x = 0
y = -3(0) +250
y = 250
(0,250)
Let x = 1
y = -3(1) +250
y = -3+250
y = 247
(1,247)
Perform the indicated operation.
a/7 x b/2
a) ab
b) 9ab/14
c) ab/14
Answer:
c) ab/14
Step-by-step explanation:
[tex]\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}[/tex]
multipling fractions rule is to multiply nominators and denominators separately
Select the value(s) that could be the probability of an event
Answer:
what values???!!!
Step-by-step explanation:
solve it
7x−3(x−6)=2
Answer:
x=-4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
7x−3(x−6)=2
Distribute
7x -3x + 18 = 2
4x +18 =2
Subtract 18 from each side
4x +18-18 = 2-18
4x = -16
Divide by 4
4x/4 = -16/4
x = -4
Suzie paid a total of $324 for x tickets to a rock festival.
How much did each ticket cost?
Answer:
c(x)=324.
324 is the total price and c would be the cost of the tickets times x which is the number of tickets.
Multiple Representations:Question 1
Given the equation below, if x = 12, what is the value of y?
y= x + 15.1
Answer:
y = 27.1
Step-by-step explanation:
We have the value of x:
x = 12
and we need to find the value of y in the expression:
y = x + 15.1
as we can see by the equation, the value of y depends on the value of x.
thus, we substitute x = 12 on the previous equation:
y = 12 + 15.1
y = 27.1
the value of y is 27.1
5 times the cube of x divided by 4 times x
Answer:
5x^2/4
Step-by-step explanation:
5 times the cube of x divided by 4 times x
(5x^3)/4x=5x^2/4
Answer:
I'm not sure what the question is... but I'm guessing you have to put this in number form? If so, the answer would be 5x^3/4x
Step-by-step explanation:
When having a number times x instead of writing the multiplication sign you just put them next to each other. (5x)
When something is cubed that means it is to the power of three (5x^3)
Divided by four times x would be 4x
Hopefully I did this right and helped you!
y=-3x+6 y=9 What is the solutions to the system of equations?
Answer:
(- 1, 9 )
Step-by-step explanation:
One of the equations gives y = 9, the y- value
To find the value of x, substitute y = - 3x + 6 , that is
- 3x + 6 = 9 ( subtract 6 from both sides )
- 3x = 3 ( divide both sides by - 3 )
x = - 1
Solution is (- 1, 9 )
Need help!!! Now!!!
Answer:
50
Step-by-step explanation:
c = cell phone cost
t = 5c
computer = 2.5 t = 2.5 ( 5c) =12.5 c
The total = 925
c+t+ computer = 925
c + 5c+ 12.5c = 925
Combine like terms
18.5 c = 925
Divide each side by 18.5
18.5c /18.5 = 925/18.5
c = 50
Answer:
Step-by-step explanation:
From the end of the problem to the beginning of the problem (this is often how you need to "decipher" story problems...go at it backwards!), we see that the cost of everything Tony bought is, in the end, based on the cost of the cell phone. The TV is 5 times as much as the cell phone, and the computer is 2.5 times as much as the TV...which is based on the cell phone. So the cell phone is our "main" unknown. We'll call that x.
If the TV is 5 times the cell phone, then the
TV = 5x
If the computer is 2.5 times the TV, then the
computer = 2.5(5x) = 12.5x
The cost of all these added together is 925. Therefore,
x + 5x + 12.5x = 925 and
18.5x = 925 so
x = 50
The cell phone cost $50. Choice G.
RS = 4x — 6 and ST
3x +4. Find RT
maybe hai not sure❤️
Solving 2+2x=3+2x can provide justification that the equation does not have a solution. Investigate this equation using a graph and inverse operations.
Step-by-step explanation:
The main goal is to separate the values on opposite sides of the equal sign.
2 + 2x = 3 + 2x
-2 -2 ⬅Subtract 2 from both expressions
2x = 1 + 2x
-2x - 2x ⬅Subtract 2x from both sides.
0 = 1
Answer:
0 does not equal 1, which means that this equation is inconsistent. In other words, there is no solution. 0 does not equal 1, so 2 + 2x does not equal 3 + 2x.
I hope this helps! :)
what is the absolute value of -2/2
-2/2 = -1/1 = -1
Therefore, the absolute value of -2/2 is -1.
Which line is steeper, line a or line b? Justify your reasoning.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
PLEASE HElP ASAP 10 PTS, BRAINLEST ANSWER
Indicate the equation of the given line in standard form. Show all of your work for full credit.The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).
Answer:
is there more in the question
The Crafty Clay Art Show has invited Aaliyah to make and sell her famous decorative plates. She molds the plates out of clay and then paints them. There is a proportional relationship between the number of plates Aaliyah makes, x, and the amount of clay she uses (in pounds), y. To make 2 plates, Aaliyah uses 6 pounds of clay. Write the equation for the relationship between x and y. (In the form of y= mx)
Answer:
y=3x
Step-by-step explanation:
Number of plates Aaliyah makes=x
Amount of clay she uses (in pounds)= y.
There is a proportional relationship between x and y: y=mx
To make 2 plates, Aaliyah uses 6 pounds of clay.
Therefore:
x=2y=6Substituting the given values into the proportional relationship y=mx, we obtain:
6=2m
Divide both sides by 2
m=3
Therefore, the equation for the relationship between x and y is:
y=3x, where 3 is our constant of proportionality.
open the word document
Answer:
Total mean: 4.3
Step-by-step explanation:
(mean for home goals)
Mean: 2.5
(mean for away goals)
Mean: 1.8
it tells us to find the total games played all together..
so:
2.5 + 1.8 = 4.3
Write an equation for line M please and thank you!!!
Answer:
y = -2x + 4
Step-by-step explanation:
First, find the slope by doing rise over run. I did this between the points (0, 4) and (2,0) This gives you -4/2 = -2.
Then, find the y-intercept, which is where the line goes through the y axis. This is at y = 4.
So, the equation is y = -2x + 4.
Answer:
y = -2x + 4
Step-by-step explanation:
Lets write the equation of the line in slope-intercept form. We need to find two things:
1) the y-intercept. When can find this by simply finding what y is equal to when x is 0. Taking a quick look, we can find that it is 4
2) the slope. To find the slope, we simply take the rate of change, or rise over run. Taking the section where x is between 0 and 2, we have, 4/2 = 2.
However, the line is moving downwards, so its a negative slope. This means the actual slope is -2.
Finally, slope-intercept form tells us that the line is y = mx + b, where m is the slope, and b is the y-intercept.
Therefore, the answer is:
y = -2x + 4
which expression shows the factors of 9x^ +3x-2
Answer:
[tex] \texttt{(3x+2)(3x-1)}[/tex]
Step-by-step explanation:
Factors of
[tex] 9x^2+3x-2[/tex]
[tex] 9x^2+6x-3x-2[/tex]
[tex] 3x(3x+2)-(3x+2)[/tex]
[tex] (3x+2)(3x-1)[/tex]
Answer this please thanks!
Answer:
C
Step-by-step explanation:
Use the pythagorean theorem
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
5 = c
Please answer correctly! Will mark brainliest !!!!!!!!!!!!
Answer:
[tex]g^{-1}[/tex](x) = [tex]\frac{x+10}{5}[/tex]
Step-by-step explanation:
Given
g(x) = 5(x - 2)
let y = g(x) and rearrange making x the subject, that is
y = 5(x - 2) ← distribute
y = 5x - 10 ( add 10 to both sides )
y + 10 = 5x ( divide both sides by 5 )
[tex]\frac{y+10}{5}[/tex] = x
Change y back into terms of x with x = [tex]g^{-1}[/tex] (x) , thus
[tex]g^{-1}[/tex](x) = [tex]\frac{x+10}{5}[/tex]
A pair of shoes is originally priced at $120.00 It is on sale for 35% off. Find the total percent that you would pay: *
Answer:
$43.75 (65%)
Step-by-step explanation:
35% of 125= 43.75
.35 times 125+ 43.75
Answer:
78$
Step-by-step explanation:
First we need to know the percent of the birr. 120×35÷100= 42$then we minus the percent of birr from the total amount 120$-42%then we need to pay 78$
(6 + 3) = (4 - 5) =
Answer:
if you need to evaluate it its
Evaluate.
9=−1
however if you need to
Determine if True its False
hoped that help
Answer:
its 18, -9, 30
Step-by-step explanation:
just did it
Write and equation that represents the line
Answer:
y = [tex]\frac{3}{4}x+2[/tex]
Step-by-step explanation:
In the figure attached,
Graph of the line passes through the two points (0, 2) and (4, 5).
Let the equation of this line is y = mx + b
Here m = slope of the line
b = y-intercept
Since slope of the line passing through two points is represented by,
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{(5-2)}{(4-0)}[/tex]
= [tex]\frac{3}{4}[/tex]
Y-intercept of the line 'b' = 2 units
Therefore, equation of the line will be,
y = [tex]\frac{3}{4}x+2[/tex]
What is the y-intercept of the graphed linear function? (0, –8) (0, –2) (0, 2) (0, 4)
Answer:
D. (0,4)
Step-by-step explanation:
Factor completely x2 + 16.
Answer:
2(x+8)
Step-by-step explanation:
2x+16
2(x+8)
Answer:
unfactorable with real numbers
in the complex realm
(x-4i) (x+4i)
Step-by-step explanation:
x^2+16
We can only factor this with imaginary numbers
(x^2 - (-4i)^2)
This is the difference of squares
(x -4i) (x+4i)
A grazing area for animals is in the shape of
a rectangle having length 8 m and breadth
6 m. A goat is tied with a rope at one corner
of the rectangle. Find the minimum length
of the rope so that the goat can cover the
entire area for grazing.
Answer:
28m
Step-by-step explanation:
Find the perimeter
Perimeter=2(length+width)
=2(8+6). =2(14). =28m
A movie theater sells popcorn in bags that open to form similar prisms, as shown. The large bag has a volume of 576 cubic inches. What is the volume of the small bag?
Answer:
Can't be determined
Explanation:It can't be determined since there are two sides that you need to find out.
Answer:
432 cubic inches
Step-by-step explanation:
the ratio of the small bag to large bags side lengths is 12/16
if you want to find the small bags volume, set the ratios equal
we know the large bag is 576 cubic inches so the small bag volume is x
12/16 = x/576
cross multiply
16x= 6912
divide by 16
x= 432
The complete factorization of -12x^3 + 14x^2 +6x is -2x(ax + 1)(2x-3). What is the value of a?
Answer:
a = 3
Step-by-step explanation:
-12x³+14x²+6x = -2x(ax+1)(2x-3)
Divide both sides by -2x(2x-3)
[tex]\frac{-2x(ax+1)(2x-3)}{-2x(2x-3)} = - \frac{12x^{3} }{-2x(2x-3)} + \frac{14x^{2} }{-2x(2x-3)} +\frac{6x}{-2x(2x-3)}[/tex]
ax+1=3x+1
Subtract 1 from both sides
ax=3x
Divide both sides by x
a=3
What is the next term of the geometric sequence? 27/16, -9/4 3
Answer:
-4
Step-by-step explanation:
khan academy