All categories

7 months ago

I have attached the problem in a picture below!

Mathematics

1 answer:

lesantik [10]7 months ago

4 0

Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

$\sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7$

Therefore, the answer is A. as the solution is x = 5 or -7

You might be interested in

Is there a math person who could give a hand

Gnesinka [82]

Answer:

I believe that the answer is D.

Step-by-step explanation:

Hope this helps!

4 0

2 years ago

Check out attachment:) I don't understand how do you find out the length ?? pls help with explanation thx

hjlf

Answer:

x=3.89

Step-by-step explanation:

I'll go in depth for you.

Before we figure out what we do, let understand what we know about this triangle.

We know that both triangles have a angle that measure 27°.
We also know EH=5
FG=9
ZG=7
We need to know how to find EZ

Notice how line EG and HF intersect at Angle Z. We know that if two lines intersect at an angle, it form angles called vertical angles. This means that the two angles that are vertical to each other are congruent.

This means that angle Z in both triangles both measure the same.

Now since both triangles have 2 congruent corresponding angles, we can say that the Triangles are Similar due to the Angle-Angle Postulate.

"If two corresponding angles of two triangles are congruent, then the two triangles are similar."

What is mean when Triangles are similar? 

It means that the similar triangles corresponding angles are equal and their sides are in proportion.

The corresponding sides are 

EH and GF

EZ and ZG

HZ and HF.

Our proportion formula for similar triangles is 

Any two sides of the first triangle divided by each other must equal the two corresponding sides of the second triangles divided by each other respectively.

We know FG and ZG so let set up our first fraction

 $\frac{fg}{zg}$ 

The corresponding sides of both are 

EH and EZ respectively so our proportion looks like
 $\frac{fg}{zg} = \frac{eh}{ez}$ 
Plug in the values for each. Let x represent the value of EZ
 $\frac{9}{7} = \frac{5}{x}$ 
Cross Multiply
 $9x = 35$ 
 $x = 3 \frac{8}{9} = 3.89$ 
So x=3.89

3 0

2 years ago

What is the answer to this equation: 4x - 2y = 6

hram777 [196]

Answer:

x = 3 and y = 3

Step-by-step explanation:

4 times 3 is 12. 2 times 3 is 6

12 minus 6 is 6

5 0

2 years ago

Read 2 more answers

Oooffff help me I’m dead

yanalaym [24]

Answer: 288cm²

Explanation:
In the given trapezoid, there are 2 right angled triangles and 1 rectangles.

So,

area of trapezoid

=area of 2 right angled triangles +1 rectangle

=2×[16×3]/2 + 15×16

=48+240

=288 cm²

Note:

Area of right angled triangle

=(base× height)/2

&,

Area of rectangle

= length ×breadth

5 0

2 years ago

the blue segment below (7.4) is a diameter of O. what is the length of the radius of the circle. A. 3.7 B. 14.8 C. 11.1 D. 7.4

Salsk061 [2.6K]

Answer:D

Step-by-step explanation:

Not 100%

6 0

2 years ago

Read 2 more answers

I have attached the problem in a picture below!​

I have attached the problem in a picture below!