The solution of the equation (x + 3)^2 = 7 is

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Given

The similar pentagons

Required

Find x

To do this, we make use of any equivalent ratios.

In this case, we use:

[tex]KL : QR = KJ : QP[/tex]

Replace each of the above with the side lengths

[tex]4 : 7.2 = 5 : x[/tex]

Express as fractions

[tex]\frac{4 }{ 7.2} = \frac{5 }{ x}[/tex]

Cross multiply

[tex]4 * x = 5 * 7.2[/tex]

[tex]4x = 36[/tex]

Divide by 4

[tex]x = 9[/tex]

Answer:

E) 6

Step-by-step explanation:

a/b = 6

36/b = 6

6b = 36

b = 36/6 = 6

b/x = 36

6/x = 36

36x = 6

x = 6/36 = 1/6

hence 1/x = 6

Answer:

E) 6

Step-by-step explanation:

a/b=6, b/x=36, and a=36

=>a = 6b

36 = 6b => b =6

b/x = 36 => x = b/36 = 6/36

so, 1/x = 36/6 = 6

Answer:

AB = 16

Step-by-step explanation:

The radius of the circle = 10

From the center of the circle to B = 10 (radius)

Since a right angle is formed at point E, we can apply Pythagorean theorem to find EB.

Thus:

EB² = 10² - 6²

EB² = 100 - 36

EB² = 64

EB = √64

EB = 8

EB = AE = 8

therefore,

AB = AE + EB = 8 + 8

AB = 16

Answer:ab=16

Step-by-step explanation:

Answer:

D. Removeable

Step-by-step explanation:

ed2021

Answer:

It's actually C, infinite!

Step-by-step explanation:

Answer:

the correct answer is 24.9

Step-by-step explanation:

Answer: 24.9

Step-by-step explanation:

Answer: 2y124√y12

How to: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Have a great day and stay safe !

9514 1404 393

Answer:

  [tex]2\cdot y^{\frac{5}{8}}[/tex]

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]

__

So, the given expression can be rewritten to ...

  [tex](4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}[/tex]

_____

k = 2; n = 5/8

Answer:

The numbers are 6 and 2

Step-by-step explanation:

Given this scenario, we can set up the following equations:

x + y = 8

x² + y² = 40.

___________

x + y = 8

y = 8 – x

(y)² = (8 – x)²

y² = (8 – x)²

x² + y² = 40

x² + (8 – x)² = 40

x² + 64 – 16x + x² = 40

2x² – 16x + 64 = 40

2x² – 16x = -24

2(x² – 8x) = -24

x² – 8x = -12

x² – 8x + 12 = 0

(x – 6)(x – 2) = 0

x = 6 or 2.

x + y = 8 →

(6 or 2) + y = 8

y = 8 – (6 or 2)

y = 2 or 6.

___________

x + y = 8 →

6 + 2 = 8 →

8 = 8 ✓

x² + y² = 40 →

6² + 2² →

36 + 4 = 40 →

40 = 40 ✓

Answer:

B, D, E

Step-by-step explanation:

Answer:

40 percent

Step-by-step explanation:

Start by taking the difference of the two values:

35-25 = 10.

the $10 is how much the value increased by.

To get the percent that the $25 increased by, take 10/25 to get .4

This .4 can then be turned into a percentage when you multiply it by 100. = 40 percent.

You can check your answer by finding 40 percent of 25, which is 10.

Answer: C equilateral triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test :)

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2

Answer:

105°

Step-by-step explanation:

The sum of all the interior angles of a triangle is equal to 180°. With that I. mind, we can write

(6x + 5) + (11x - 5) + x = 180

Collecting all similar terms, we get

18x = 180 or x = 10

They, the measure of angle Q is

Angle Q = 11x - 5 = 11(10) - 5

= 105°

Answer:

1/2

Step-by-step explanation:

5 x 1/10 = 0.5

0.5 = 1/2

Answer:

                    1 / 2

Step-by-step explanation:

Answer:

f(3) = -41

Step-by-step explanation:

f(x) = x³-9x²+5x-2

now,

f(3) = 3³-9×(3)²+5×3-2

= 27-9×9+5×3-2

= 27-81+15-2

= -41

Answer:

with what plz explain the question

Answer:

[tex]x + y\le 3000[/tex]

Step-by-step explanation:

Given

[tex]x \to booth[/tex]

[tex]y \to brochures[/tex]

[tex]Total = 3000[/tex]

Required

The inequality for this scenario

The total spending will not exceed the amount they have to spend; So, the inequality is:

[tex]x + y\le 3000[/tex]

Answer:

Y=2x+4

Step-by-step explanation:

Y=Mx+b is the slope intercept formula

subtract 2x so you get -y=-2x-4. Then divide everything by-1 .

Answer:

d

Step-by-step explanation:

The correct option is C. The amount of time in the sun is the response

variable.

Given, An experiment is conducted to measure the  effectiveness of a brand of sunscreen.

A response variable measures an outcome of a study. An explanatory variable attempts to explain the observed outcomes. The explanatory variable is usually called independent and the response variable is called dependent.

From the above definition it is clear that A response variable is dependent quantity so here in question, option c states that the amount of time in the sun is the response variable which is right because it is totally depend on the brand of sunscreen.

Hence  the correct option is C. The amount of time in the sun is the response

variable.

For more details on response variable follow the link:

https://brainly.com/question/5598457

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Image might help

Answer:

[tex]V=6x^3+3x^2[/tex]

Step-by-step explanation:

The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.

We need to find the volume of the three dimensional figure.

The volume of a cuboid is given by :

V = lbh

Substitute all the values,

[tex]V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2[/tex]

So, the volume of the figure is equal to [tex]6x^3+3x^2[/tex].

Answer:

They have 11 inches of rope left.

Step-by-step explanation:

First we do the 6 foot rope minus the 4 foot cut. That leaves us with 2 feet, or 24 inches.

24-13 = 11

Step-by-step explanation:

Starting from the upper left in the clockwise direction:

congruent: no

similar: no

upper right side:

congruent: yes

similar: yes

lower right side:

congruent: no

similar: yes

lower left side:

congruent: yes

similar: yes

Answer:

Rotation:

Step-by-step explanation:

Translation is usually movements like up, down, left, right.

Dilation is when one shape is bigger/smaller than the other, but still congruent.

Reflections are usually done over an axis (x or y), and don't change the degree at which a shape is turned. From looking at the triangles, you can see that one triangle was turned clockwise.

Answer:

900

Step-by-step explanation:

(n-2)*180

5*180=900

Answer:

900°

Step-by-step explanation:

The polygon shown in the picture has 7 sides. The formula for finding the sum of interior angles of an n-gon is:

(n - 2)(180)

We can substitute in 7 for n to get the sum:

(7 - 2)(180)

(5)(180)

900°

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

Answer:b

Step-by-step explanation:

The terms in Pattern B are one third the corresponding terms in Pattern A.

Answer:

0.14

Step-by-step explanation:

Using the poisson probability relation :

P(x = x) = (λ^x * e^-λ) ÷ x!

From the question ; mean, λ = 5 ; x = 3

Hence,

P(x = 3) = (5^3 * e^-5) ÷ 3!

P(x = 3) = (125 * 0.0067379) / 6

P(x = 3) = 0.8422375 / 6

P(x = 3) = 0.140