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NARA [144]
4 years ago
6

A 23 ft ladder is placed against a college classroom building at a point 20 ft above the ground. What is the distance from the b

ase of the ladder to the building
Mathematics
1 answer:
Lera25 [3.4K]4 years ago
7 0
The ladder forms the hypotenuse of a right triangle. Solve for a 

<span>a^2 + b^2 = c^2 </span>
<span>a^2 + 9^2 = 18^2 </span>
<span>a^2 + 81 = 324 </span>
<span>a^2 = 243 </span>
<span>a = 15.589 = 15.6 feet</span>
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which expression is equivalent to -28x^2+35x ? F. 7x(4x+5) G.-7x(4x-5) H.7x(4x-5) J.-7x(4x+5) please explain w the steps
Ludmilka [50]

<em>Hey</em><em>!</em><em>!</em>

<em>Sol</em><em>ution</em><em>,</em>

<em>-28x^</em><em>2</em><em>+</em><em>3</em><em>5</em><em>x</em>

<em>take</em><em> </em><em>the</em><em> </em><em>common</em><em>,</em>

<em>-7x</em><em>(</em><em>4</em><em>x</em><em>-</em><em>5</em><em>)</em>

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>-7x</em><em>(</em><em>4</em><em>x</em><em>-</em><em>5</em><em>)</em>

<em>Here</em><em>,</em>

<em>If</em><em> </em><em>we</em><em> </em><em>solve</em><em>,</em>

<em>-7x</em><em>(</em><em>4</em><em>x</em><em>-</em><em>5</em><em>)</em>

<em>Then</em><em>,</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>would</em><em> </em><em>be</em><em>:</em>

<em>=</em><em> </em><em>-7x</em><em>*</em><em>4</em><em>x</em><em>+</em><em>7</em><em>x</em><em>*</em><em>5</em>

<em>=</em><em> </em><em>-28x^</em><em>2</em><em>+</em><em>3</em><em>5</em><em>x</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

4 0
3 years ago
Read 2 more answers
The parent function f(x) = x2 is translated such that the function g(x) = –x2 + 6x – 5 represents the new function.
zhenek [66]

Answer:

g(x) has an axis of symmetry at x = 3.

g(x) is shifted right 3 units from the graph of f(x)

g(x) is shifted up 4 units from the graph of f(x).

Step-by-step explanation:

The parent function is:

f(x)=x^2

The transformed function is g(x)=-x^2+6x-5.

This new function can be rewritten in the vertex form as:

g(x)=-(x-3)^2+4

This function is obtained by shifting the parent function 3 units right and 4 units up.

The axis of symmetry is x=3;(x=h) and h=3.

There is no horizontal stretch or compression.

The new function is however reflected in the x-axis

8 0
4 years ago
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IRINA_888 [86]

Answer:

53

Step-by-step explanation:

it's 53. i think they are called alternate angles

5 0
3 years ago
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AveGali [126]
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3 years ago
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nasty-shy [4]

Answer:

(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)

Step-by-step explanation:

The given options are:

(A)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(\dfrac14\right)\\(B)\left(\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)\\(C)\left(\dfrac38\right)\left(\dfrac57\right)\left(\dfrac14\right)\\(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)

The key to determining which product is negative is to understand the rule of sign multiplication.

Now:

  • The product of even negative terms is positive
  • The product of odd negative terms is negative.
  • The product of positive will always be positive.

In Options A and B, the number of negative signs is even, therefore our result is positive.

In option C, all the terms are positive, therefore our result will be positive.

In Option D, the number of negative signs is odd, therefore our result is negative.

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3 years ago
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