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kati45 [8]
3 years ago
14

Write an equation for the line parallel to the given line that contains C(4,8);y=-3x+4

Mathematics
1 answer:
Brrunno [24]3 years ago
6 0
Parallel line means they have the same slope 
y = mx + b 
where m = slope 
y = -3 + 4
here the slope is negative 3
y = -3x + b
plug in (4, 8)
8 = -3(4) + b 
b = 8 + 12
b = 20

The answer is y = -3x + 20
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The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
3 years ago
2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers
UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

\frac{x^3+x^2+x}{x^2+x+1}=x

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that x^3+x^2+x=x(x^2+x+1)

If we replace the factored numerator with the original one, we get:

\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x

Since we have an equality, this relation is proved.

3 0
3 years ago
A certain television is advertised as a 50-inch TV (the diagonal length). If the width of
Anvisha [2.4K]

Hello there i hope you are having a great day :) Your question: A certain television is advertised as a 50-inch TV (the diagonal length). If the width of  the TV is 14 inches, how many inches tall is the TV?

So you would need to used the Pythagorean theorem that would be

c^2 = a^2 + b^2

So this would equal letter C as The hypotenuse of the right angle and also letter A and B are the stands on the triangle so C would equal 50 inches and A and B would equal 14 inches.

Then the Hard bit so you would be,

1) a^2 = c^2 - b^2

2) a = √c^2 - b^2

3) a =  50^2 - 14^2

4) a = √ 2,500 - 196

5) a = √2,304

6) A = 26

So the answer would be 26 Hopefully ❤

3 0
3 years ago
How Do You Write 6.050 In Expanded Form?
Alex777 [14]

Answer:

6 + 0.05

Step-by-step explanation:

To write a number in expanded form, you write each value of the digits by themselves. For example, let us say that that the number is 250.96 . To write in expanded form, you are essentially stretching out all the non-zero numbers, and keeping them separate (but in the same value), As in the example, we will write it out as expanded form:

250.96 = 200 + 50 + 0.9 + 0.06

~

8 0
2 years ago
Read 2 more answers
Some children were asked to name their favorite color.
ad-work [718]

Answer:

its 5 Obviously :)

Step-by-step explanation:

get it

5 0
3 years ago
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