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3 years ago

Apply the distributive property to create an equivalent expression. (1-2g+4h)x5

Mathematics

1 answer:

kifflom [539]3 years ago

8 0

Answer: 5-10g+20h

Step-by-step explanation:

You can rewrite as 5(1-2g+4h). 5x1 equals 5, 5x2g=10g, 5x4h=20h, then you get 5-10g+20h

-viridiancat4, an 8th grader! :)

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Respuesta de (-0.5)²

Vladimir79 [104]

Answer:

0.25

Step-by-step explanation:

we have

$(-0.5)^2$

we know that

$-0.5=-\frac{1}{2}$

substitute

$(-\frac{1}{2})^2=(-\frac{1}{2})(-\frac{1}{2})$

Remember that

$(-1)(-1)=1\\(-1)(1)=(-1)$

$(-\frac{1}{2})(-\frac{1}{2})=\frac{1}{4}=0.25$

5 0

3 years ago

Write the exact value of the side length of each square. If the value is not a whole number, estimate the length.

Savatey [412]

Given:

The area of the squares are given.

To find:

The exact side length or estimate side length of the square.

Solution:

We know that, the area of a square is

$A=a^2$

Where, a is the side length of the square.

$a=\sqrt{A}$

Area of the square is 100 square units. So, the side length is:

$a=\sqrt{100}$

$a=10$

Therefore, the side length is 10 units.

Area of the square is 95 square units. So, the side length is:

$a=\sqrt{95}$

It is not exact. We know that $\sqrt{81}$ .

Therefore, the side length is between 9 and 10.

Area of the square is 36 square units. So, the side length is:

$a=\sqrt{36}$

$a=6$

Therefore, the side length is 6 units.

Area of the square is 30 square units. So, the side length is:

$a=\sqrt{30}$

It is not exact. We know that $\sqrt{25}$ .

Therefore, the side length is between 5 and 6.

8 0

3 years ago

Determine whether the conjecture is true or false. Give a counterexample for any false conjecture.

AnnyKZ [126]

Answer:

The Answer is C. false; m =-2 or m=2

Step-by-step explanation:

This is because:

2*2=4 being 4+6=10 Making 2 true, but

-2*-2= 4 as well making it 4+6=10, Making -2 true as well.

6 0

3 years ago

Read 2 more answers

This is for algebra 2 can someone tell me if I’m right and can someone explain how do you get a= ?

algol13

Answers:

a = 2

h = 3

k = -3

You have the correct h and k values. Nice work so far.

==========================================================

Explanation:

(h,k) is the vertex. So (h,k) = (3,-3) meaning h = 3 and k = -3

To get the value of 'a', we need to plug in some point on the red graph. Each point is of the form (x,y). We can pick any point we want that isn't the vertex.

Let's pick (0,3) which is the y intercept. I'm picking this because 0 is an easy number to work with

------------

y = a|x-h| + k

y = a|x-3| + (-3) .... plug in the h,k values

y = a|x-3| - 3

3 = a|0-3| - 3 .... plug in (x,y) = (0,3)

3 = a|-3| - 3

3 = a*3 - 3

3 = 3a - 3

3a-3 = 3

3a = 3+3 ... adding 3 to both sides

3a = 6

a = 6/3 ... divide both sides by 3

a = 2

The value a = 2 indicates that the parent function y = |x| has been stretched vertically by a factor of 2. So it is twice as tall as before. Then it has been shifted to place the vertex at (3,-3) as shown in the graph.

------------

You may be wondering why you can't pick on the vertex for (x,y)

Let's see what happens if we use (x,y) = (3,-3)

y = a|x-3| - 3

-3 = a|3-3| - 3 ... plug in (x,y) = (3,-3)

-3 = a|0| - 3 ... uh oh, we get 0 here

-3 = a*0 - 3

-3 = 0 - 3

-3 = -3

We get a true statement, which is nice, but it doesn't tell us anything about what the value of 'a' is. That 'a' term goes away entirely. So I avoided using x = 3 to prevent x-3 from being 0.

4 0

3 years ago

I need help with This question please

shepuryov [24]

3173.40 x 3 = 9520.20

4 0

3 years ago