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natali 33 [55]
3 years ago
11

A 17-foot pole is leaning against a wall. The bottom of the pole is 8 feet away from the bottom of the wall. Approximately how h

igh up the wall does the top of the pole reach? 8 feet 9 feet 12 feet 15 feet
Mathematics
1 answer:
yarga [219]3 years ago
7 0
The answer is "15 feet" 

use the Pythagorean Theorem (a^2+b^2=c^2)  backwards. 
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HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum valu
xxTIMURxx [149]

Answer:

y = \frac{1}{2}x^{2} - 3x + 11.5

Step-by-step explanation:

Vertex form of a quadratic equation;

y = a( x - h )^{2} + k

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

y = a ( x + 3 ) ^{2} + 7

Now substitute in the given point; ( -1, 9) and solve for a;

9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7           -7\\2 = 4a\\\frac{1}{2} = a\\

Hence the equation in vertex form is;

y = \frac{1}{2}(x - 3)^{2} + 7

In standard form it is;

y = \frac{1}{2}x^{2} - 3x + 11.5

7 0
2 years ago
How to find out 4 x 754 by using two methods
baherus [9]
You can use expanded form: 4 X 700, 4 X 50, 4 X 4, = 3016.

You can use the Distributive Property of Multiplication: (4 X 500) + (4 X 254) = 3016.
4 0
2 years ago
Help me and I’ll give you brainliest
mash [69]

Answer:

124

Step-by-step explanation:

5 0
2 years ago
To divide 572 divide 4, Stanley estimated to place the first digit of the quotient. In which place is the first digit of the quo
andreyandreev [35.5K]
It would go over the five, so im guessing the hundreds

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3 years ago
Which of the lines whose equations are given below is perpendicular to 3x - 12y = 10?
Dmitriy789 [7]

Answer:

1. 8x + 2y = 16

Step-by-step explanation:

3x - 12y = 10

12y = 3x - 10

y = 1/4 x - 5/6  .... slope: 1/4

perpendicular line slope: -4

8x + 2y= 16

2y = -8x + 16

y = -4x + 8  .... slope: -4

6 0
2 years ago
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