All categories

4 years ago

What are the solutions to (x+7)^2=81

Mathematics

2 answers:

krek1111 [17]4 years ago

7 0

(x + 7)² = 81

x + 7 = √81

x+7 = 9

x = 9 - 7

x = 2

Kamila [148]4 years ago

6 0

$(x+7)^2=81\iff x+7=\pm\sqrt{81}\\\\x+7=-9\ \vee\ x+7=9\qquad\text{subtract 7 from both sides}\\\\\boxed{x=-16\ \vee\ x=2}$

You might be interested in

What is the definition of 'distributive property'?

Mademuasel [1]

This is what my math teacher had me write down!

8 0

3 years ago

Read 2 more answers

Reil [10]

I will be doing it.........

6 0

3 years ago

Enter a fraction that is equivalent to 4/7 with a denominator of 21

zysi [14]

Answer:

An equivalent fraction is 12/21

7 0

3 years ago

Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin

seropon [69]

Answer:

Part a) The ratio of the perimeters is $3$

Part b) The ratio of the areas is $9$

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

$z=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3$

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

$z^{2}=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3^{2}$

$\frac{x}{y}=9}$

3 0

3 years ago

Consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?

Juliette [100K]

9514 1404 393

Answer:

x ≈ -4.9

Step-by-step explanation:

There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.

x ≈ -4.9

_____

Using iterative techniques, the calculator can give an answer to the full precision available. It is ...

x ≈ −4.91733286844

6 0

3 years ago