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2 years ago

A line passes through the point (12,0) and is parallel to the line with the equation y = x + 1. What's the equation of the line?

Mathematics

1 answer:

Alborosie2 years ago

4 0

Answer:

y = x - 12

Step-by-step explanation:

Since the lines are parallel, the slopes are the same.

The desired equation has the form y = x + 1. Replacing the constant (1) by C, we get y = x + C. Finally, we substitute 12 for x and 0 for y in y = x + C to determine the value of C:

0 = 12 + C, or C = -12

Then the equation of the line is y = x - 12.

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A line with slope -2 and y- intercept 4

Leviafan [203]

Answer:

y=-2x+4

Step-by-step explanation:

y=mx+b where m is the slope b is the y-intercept.

Plug in values to get:

y=-2x+4

8 0

2 years ago

If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2

Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

$h(x)=f\circ g(x)$

Here,

$h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}$

We need to find the value of g(x):

$f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3$

Hence, the value of g(x) is x+3.

3 0

3 years ago

Equations in the Form y = ax^2

ra1l [238]

Answer:

Step-by-step explanation:

It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer

8 0

2 years ago

PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM

Brrunno [24]

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

$c^{2} =a^{2} +b^{2}$

c = $\sqrt{a^{2} +b^{2} }$

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = $\sqrt{40^{2} + 9^{2} }$

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = $\sqrt{12^{2} + 13^{2} }$

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$35^{2} = 20^{2} + b^{2}$

1225 = 400 + $b^{2}$

$b^{2}$ = 1225 - 400

$b^{2}$ = 825

$\sqrt{b^{2} } = \sqrt{825}$

b = 5 $\sqrt{33}$

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$37^{2} = 20^{2} + b^{2}$

1369 = 400 + $b^{2}$

$b^{2}$ = 1369 - 400

$b^{2}$ = 969

Taking square root on both sides

b = 31.12

Hope it helps.

4 0

2 years ago

The system with one and only one solution set is called a/an system

beks73 [17]

Answer:

Consistent and Independent System

Step-by-step explanation:

A system with at least one solution is a consistent system. A consistent system is said to be independent if it has <u>exactly one solution</u> (often referred to as the <em>unique</em> solution). The graphs intersect at exactly one point, which gives an ordered-pair (x, y) as the solution of the system.

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2 years ago