10. SImplify. Write using rational exponents. Be sure to show any work and simplify your answer

Answer:

(3p+10q)

Step-by-step explanation:

9p^2 - 100q^2

Rewriting

(3p)^2 - (10q)^2

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(3p-10q) (3p+10q)

Answer:

( 3p + 10 q)

Step-by-step explanation:

9 p ² - l00 q ²

(3p)² - ( 10 q) ²

( a ² - b ² = ( a + b) ( a - b) )

( 3p - 10 q) ( 3 p + 10 q)

Answer:

Yes

Step-by-step explanation:

As long as no x values repeat it is considered a function

In the given set no x values repeat therefore it is a function

Answer:

Yes.

Step-by-step explanation:

Each input has exactly one output. Therefore, this is indeed a function.

Answer:

1/27

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(2/3) X (6^3) X 3.14 = 452.16 cm^3

1 cm = 1 gram

452.16g

Answer:

Step-by-step explanation:

The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:

4x - 18 = 0   and   -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.

4x = 18 so

x = 9/2.

-2x = -k so

x = k/2. If the x-intercepts are the same value, then

[tex]\frac{9}{2}=\frac{k}{2}[/tex] so, obviously,

k = 9

Answer:

(1/4)(1/4) = 1/16

Answer:

Hi, there your answer will be 3(x−1)(x+4)

Step-by-step explanation:

Answer:

you have mula or gula

Step-by-step explanation:

what do you have mula or gula

Answer:

18

Step-by-step explanation:

38 drink tea but 20 drink tea only.

38-20 =18 drink tea.

Answer:

The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.

Step-by-step explanation:

Answer:

AC =10 cm

Step-by-step explanation:

triangle ABC is a right angled triangle

side opposite to angle B is hypotenuse

so hypotenuse=AC

here AB and BC are other two smaller sides of a triangle.

so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.

Let AB=a , BC=b and AC=c(hypotenuse)

[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]

36 + 64 =[tex]AC^{2}[/tex]

100=[tex]AC^{2}[/tex]

[tex]\sqrt{100[/tex] =AC

10=AC

Answer:

[tex]\angle LMK\sim \triangle KMJ \sim \triangle LKJ[/tex]

Step-by-step explanation:

In the right triangle shown, two right triangles are inscribed in a third right triangle, with all three triangles sharing an altitude. Thus, all three right triangles are similar.

The second portion asks to draw them so that their corresponding sides and angles have the same orientation. I can't demonstrate that here but here are some tips:

Here is an example of the drawing portion from the CK-12 Foundation:

Answer:

Solution given:

In triangle LMK and triangle LKJ

<LMK=<JMK[ being right angle]

<MLK=<JLK[common angle]

<MKL=<LJK[remaining angle]

so

∆MLK~ ∆MLJ[By A.A.A.axiom]

∆MLK is similar to ∆MLJ

Answer:

7_14-21-28-35-42-49 -56-63-70-77-84

Answer:

forma is h * w / 2 and y and x have no value because there are no numbers to calculate.

Step-by-step explanation:

hope this helps!!!!!

Answer:

h * w/2 OR (base * height) / 2

/ = divide

* = multiply

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It's just a normal quadratic graph but flipped meaning its just negative x squared

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{m=8}[/tex]

»»————-　★　————-««  

Here’s why:  

[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]

⸻⸻⸻⸻

[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]

⸻⸻⸻⸻

[tex]\text{The slope is 8.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

40.03

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just divide 7 1/5 ÷ 3 over 5 = 180/15

and that simplified is 12

Answer:

The total time spent in walking is [tex]\frac {15}{2x}[/tex].

Step-by-step explanation:

The speed is defined as the rate of change f distance or the ratio of the distance covered to the time taken.

Total distance covered by John = 10 miles

Let he walked with speed x for the first 5 miles and then he walked with speed 2 x for the second 5 miles.

Let the time spent for the first 5 miles is t' and for the second 5 miles is t''.

So,

[tex]t'=\frac{5}{x}\\\\t''=\frac{5}{2x}[/tex]

The total time spent in walking is

[tex]t = t'+ t''=\frac{5}{x}+\frac{5}{2x}\\\\t =\frac {15}{2x}[/tex]

Answer:

x > 22

Step-by-step explanation:

Given the inequality;

52- 3x < -14

Subtract 52 from both sides

52 - 3x - 52 < -14 - 52

-3x < -14 - 52

-3x < -66

Divide both sides by -3

-3x/-3 < -66/-3

x > 22

Hence the required inequality is x > 22

Answer:

$31.50

Step-by-step explanation:

3j = $94.50

 j = 94.50 / 3

 j = $31.50

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Answer:

distance = 13 units

Step-by-step explanation:

(-2 , -6)=(x1 , y1)

(-7 , 6)=(x2 , y2)

distance formula:

=[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

=[tex]\sqrt{{(-7-(-2)}^2 + {6-(-6)}^2}[/tex]

=[tex]\sqrt{(-7+2)^2 + (6+6)^2}[/tex]

=[tex]\sqrt{(-5)^2 + (12)^2}[/tex]

=[tex]\sqrt{25+144}[/tex]

=[tex]\sqrt{169[/tex]

=13 units

Answer:

4(4+9)

(if you are able to use 4 twice)

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

Answer:

Option D can be your answer

The true statement about geometric figure is

One plane can be drawn so it contains all three points.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.

We have three points R, S and T.

So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.

There is a plane that contains our three points if we have three separate points in 3-space.

So, For the three points R, S, and T, the third assertion is accurate.

Learn more about Plane here:

https://brainly.com/question/1962726

#SPJ7

Answer:

a = 6

Step-by-step explanation:

Area = 36 [tex]in^{2}[/tex]

Only one number will make this missing length true.

Obviously it's a square so one number x one number will equal to 36 [tex]in^{2}[/tex]

6 x 6 = 36 [tex]in^{2}[/tex]

Answer:

The missing length of square is 6 in.

Step-by-step explanation:

Here we have given the area of square = 36 in ²

We need to find the missing length of square .

Using formula

Area of square = ( side ) ²

put the values

36 in² = ( side)²

Finding the square root of 36 in²

√36 in ² = side

6 in = side

Hence, the side of square is 6 in.