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4 years ago

8

Combine like terms to create an equivalent expression . Make sure to simplify coefficients and constants as well. - 6/5 - 2/3 *

v + 4/15 + 1/3 * v
Help please

1 answer:

Radda [10]4 years ago

7 0

Answer: -5v-22/15

the -5v-22 are all part of the top fraction, so the 15 is the fraction bar for the whole thing.

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zach deposits $15,000 into his savings account. his savings account has an annual interest rate of 1.4%. how much money in inter

Orlov [11]

Do $15,000x.014x2
--
$15,000x.014=$210
$210x2=$420

3 0

4 years ago

Please help quick!! <br> Given ΔΡHS & ΔCNF, find the values of x, y, and z.

valkas [14]

Answer:

$x=24, y=10, z=17$

Step-by-step explanation:

We know that $\Delta PHS\cong\Delta CNF$ .

Then by CPCTC, ∠P≅∠C, ∠H≅∠N, and ∠S≅∠F.

Therefore, let’s solve for each of the angle relations.

∠P≅∠C:

We know that ∠P is 36°. ∠C is (4z-32)°. Therefore:

$36=4z-32$

Solve for z:

$\begin{aligned}36&=4z-32\;\;\; \text{Add 32 to both sides}\\68&=4z\;\;\;\;\;\;\;\;\;\;\;\text{Divide both sides by 4}\\17&=z\end{aligned}$

So, the value of z is 17.

∠H≅∠N

∠H is (6x-29) and ∠N is 115. So:

$6x-29=115$

Solve for x:

$\begin{aligned} 6x-29&=115\;\;\;\;\;\;\text{Add 29 to both sides}\\6x&=144\;\;\;\;\;\;\text{Divide both sides by 4}\\\ x&=24\end{aligned}$

Therefore, the value of x is 24.

∠S≅∠F

We will need to find ∠S.

We already know that ∠P is 36.

∠H will be (6x-29). Substitute 24 for x to acquire: (6(24)-29)=144-29=115.

A triangle always totals 180°. Therefore, 115+36+∠S=180 or 151+∠S=180.

Therefore, ∠S=29.

∠F is (3y-1). So:

$29=3y-1$

Solve for y:

$\begin{aligned} 29&=3y-1\;\;\;\;\;\text{Add 1 to both sides}\\ 30&=3y\;\;\;\;\;\;\;\;\;\;\text{Divide both sides by 3}\\ 10&=y\end{aligned}$

Therefore, the value of y is 10.

So, x=24, y=10, and z=17.

And we are done!

3 0

3 years ago

Which of the following points is an equal distance (equidistant) from A(0, −4) and B(−2, 0)?

joja [24]

Answer:

Point N(3,0) is equidistant from A and B.

Step-by-step explanation:

In order to check whether the point is equidistant from A and B, it is required to measure the distance of A and B from each point. The formula for distance is:

d= √((x_2-x_(1))^2+(y_2-y_(1))^2 )

For J

AJ= √((-4-0)^2+(-5+4)^2 )

=√((-4)^2+(-1)^2 )

= √(16+1)

= √17 units

BJ=√((-4+2)^2+(-5-0)^2 )

=√((-2)^2+(-5)^2 )

= √(4+25)

= √29 units

Point J is not equidistant from A and B.

For K

AK= √((-3-0)^2+(0+4)^2 )

=√((-3)^2+(4)^2 )

= √(9+16)

= √25 units

=5

BK=√((-3+2)^2+(0-0)^2 )

=√((-1)^2+(0)^2 )

= √(1+0)

= √1

=1 unit

Point K is not equidistant from A and B.

For M

AM= √((0-0)^2+(0+4)^2 )

=√((0)^2+(4)^2 )

= √(0+16)

= √16

=4 units

BM=√((0+2)^2+(0-0)^2 )

=√((2)^2+(0)^2 )

= √(4+0)

= √4

=2 units

Point M is not equidistant from A and B.

For N

AN= √((3-0)^2+(0+4)^2 )

=√((3)^2+(4)^2 )

= √(9+16)

= √25

=5 units

BN=√((3+2)^2+(0-0)^2 )

=√((5)^2+(0)^2 )

= √(25+0)

= √25

=5 units

As point N's distance is equal from A and B, Point N is equidistant from A and B.

.

6 0

4 years ago

a skating rink needs 200 prizes. a patent donates 9 small boxes of prizes and 2 large boxes of prizes. small box has 10 pens in

DIA [1.3K]

if there are 9 small boxes that contains 10 pens in each box that is a total of 90 pens. 2 large boxes which has 15 pens in each box that is a total of 30 pens. so all together you have 120 prizes. you need 200 so you subtract 120 from 200 which leaves you needing 80 prizes. your answer is 80 more prizes.

4 0

3 years ago

Y=x^2+2x+1 find the vertex

Bess [88]

I'm going to put this into vertex form, which is y=a(x-h)^2+k

To do this, you use completing the square. Start by subtracting 1 from each side

-1+y=x^2+2x

Then, divide b (2) by 2 and square it. Add that number to each side. (normally when you complete the square, you take out the gcf of the right side of the equation before you do this. Then, you would multiply (b/2)^2 by the gcf before adding it to the left side. Since there is no gcf, we do not have to worry about this)

2/2=1
1^2=1
-1+1+y=x^2+2x+1

Next, simplify the left side and factor the right side.

y=(x+1)^2

This is vertex form. a=1, h=-1, and k=0

The vertex is (h,k) so it is (-1,0)

hope this helps!

7 0

4 years ago

Read 2 more answers