A slide is 21 feet long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, from the bottom of the slide to the bottom of the stairs? Round your answer to the nearest tenth.

Answers

Answer 1

Answer: its a right angled triangle. You have C and have B all you need to find is A. usually for a question like this you would use the Pythagorean theorem which is A2+B2=C2 but since we already have c we will use C2-B2=A2
Now we fill in the values. (21)2-(9)2=A2
441-81=360^2 so now with the 360^2 we have to squareroot it so the square root of 360 is 18.973f

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The vertex form of the equation of a parabola is x = (y - 4)2 + 27. What is the standard form of the equation?

A. x = y2 + 8y + 27
B. x = 4y2 - 8y + 43
C. x = y2 - 8y + 43
D. x = y2 + y + 15

Answers

Answer:

Option C. x = y² - 8y + 43

Step-by-step explanation:

The vertex form of the equation of a parabola is x = (y - 4)² + 27

We have to find the standard form of the equation which is in the form of x = ay² + by + c

To get the standard form of the equation we will simplify the vertex form of the equation.

x = (y - 4)² + 27

x = y² + 16 - 8y + 27

x = y² - 8y + 43

This matches with option C. x = y² - 8y + 43

Since the vertex formula of an equation is x =a(x-h)^2 + k and the standard form of an equation is y = ax^2 + bx + c, the answer to the math question presented above would be letter c. x = y^2 -8y + 43. I arrived to this answer by solving (y-4)^2 and adding the equation to 27.

What are the zeros of the polynomial function f (x)=x^2-12x+20

Answers

I hope this helps you

f (x)=(x-10)(x-2)

x=10

x=2

Answer:

the answer is 10 and 2

What is the value of x in this triangle?A.0.58°
B.o 28.89°
C.o 56.51°
D.o 33.49°

Answers

The value of x is 33.49°.

What is a right triangle?

A triangle with one of its angles measuring 90° is known as a right triangle.

Given a right triangle with a hypotenuse of length 58 and a leg of length 32.

Use the sine rule:

(sin90°) / 58 = (sinx) / 32

sinx = 32/58

x = sin⁻¹ ( 32/58)

x = 33.49°

Hence, the value of x is 33.49°.

Learn more about right triangles here:

brainly.com/question/4364353

#SPJ5

Answer:

D. 33.49

Step-by-step explanation:

What is the x-intercept of the line with the equation 4x 2y = 12?

Answers

x-int:let y=0
4x+2(0)=12
4x=12
divide both side by 4
threfore x=3 from what I found

What is the area in square units of a triangle on an XY plane with vertices (2,3) , (9,3) and (5,6)

Answers

To find the area of a triangle with vertices (2,3), (9,3), and (5,6) on the XY plane, you can use the formula for the area of a triangle:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Using the coordinates:

x1 = 2, y1 = 3
x2 = 9, y2 = 3
x3 = 5, y3 = 6

Area = 1/2 * |2(3 - 6) + 9(6 - 3) + 5(3 - 3)|

Area = 1/2 * |-6 + 27 + 0|

Area = 1/2 * 21

Area = 10.5 square units

So, the area of the triangle is 10.5 square units.

In a biological lab, the cell growth rate of two different organisms is tracked and recorded each week. Given the growth rate, the number of organisms can be determined using the following equations: s(x) = 100 + 23x
m(x) = 90(1.2x)

Complete the table of values.
x 100 + 23x 90(1.2x)
0
1
2
3
4
5
Use the table to determine at approximately which point the number of cells will be the same for each organism.
Graph the system of equations, and show the point of intersection.
Explain what the points graphed for each line represent.
Explain how you can determine the solution to the equation 100 + 23x = 90(1.2x) using the graph from part c.
Find the point(s) of intersection, and explain what the intersection represents in the context of the problem.

Answers

wow that's too much work!!! is this a table or printout?

s(x) = 100 + 23xs(x) = 100 + 23x

m(x) = 90(1.2x)

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