Write a rule for the translation of A ABC to AA BOM a rule translation is (x,y)

What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7

Alexxx [7]

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

Original equation

√2x-5-4 = -x

Isolate

√2x-5 = 4-x

step2 eliminate the radical on the left hand side

Raise both sides to the second power

(√2x-5)2 = (4-x)2

After squaring

2x-5 = x2-8x+16

step3 Solve the quadratic equation

Rearranged equation

x2 - 10x + 21 = 0

This equation has two rational roots:

{x1, x2}={7, 3}

step4 Check that the first solution is correct

Original equation, root isolated

√2x-5 = 4-x

Plug in 7 for x

√2•(7)-5 = 4-(7)

Simplify

√9 = -3

Solution does not check

3 ≠ -3

step5 Check that the second solution is correct

Original equation, root isolated

√2x-5 = 4-x

Plug in 3 for x

√2•(3)-5 = 4-(3)

Simplify

√1 = 1

Solution checks !!

Solution is:

x = 3

3 0

3 years ago

Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t

Stella [2.4K]

Answer:

A. 8.66 feet

B. 12.59 feet

C. Area of triangle when $\theta=30$ is 129.9 square feet. Area of triangle when $\theta=40$ is 188.85 square feet. Increasing the angle $\theta$ increases the area.

Step-by-step explanation:

The equation that models the height of the triangle is:

$y=15 Tan \theta$

Where,

$y$ is the height, and

$\theta$ is the angle

A.

When $\theta=30$ , the height is:

$y=15Tan30\\y=8.66$

B. When $\theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59$

C. To find the area of the isosceles triangular shaped garden, we use the formula for the area of the triangle:

$A=\frac{1}{2}bh$

Where,

A is the area
b is the base, which is given as 30 feet, and
h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]

When Vance uses $\theta=30$ , the area is:

$A=\frac{1}{2}(30)(8.66)\\A=129.9$ square feet

When Vance uses $\theta=40$ , the area is:

$A=\frac{1}{2}(30)(12.59)\\A=188.85$ square feet

So we see that when the angle is more, the area is also more.

4 0

3 years ago

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You are saving for a bicycle that costs $120. You Deposit $75 in an account that earns compounded annually. The Expression 75(1+

dezoksy [38]

A. Expanding the given expression, you have
balance = 75r^2 +150r +75

B. For r=0.10, the balance after 2 years is 75*1.1^2 = 90.75

C. The difference between $120 and 90.75 is $29.25. You need $29.25 more to buy the bicycle.

8 0

3 years ago

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Alain th

Naya [18.7K]

For this case we have the following function:
$h (x) = - 5x ^ 2 + 10x + 15
$
By the time the stone is thrown, x = 0.
We must evaluate this value of x in the function.
We have then:
$h (0) = - 5 (0) ^ 2 + 10 (0) +15

h (0) = 0 + 0 + 15

h (0) = 15 meters$
Answer:
The height of the stone at the time is thrown is given by:
h (0) = 15 meters

4 0

3 years ago

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Hey umm how do you make your stressed mom feel better?

Dafna11 [192]

Answer:

Help her around the house.

Step-by-step explanation:

5 0

2 years ago

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