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MissTica
2 years ago
11

Please help explanation if possible

Mathematics
1 answer:
posledela2 years ago
6 0

Answer:

y =3x - 5

Step-by-step explanation:

Well one of the way to do this question is the formula given below your question, but for me, i rather do it this way

OK they gave u y=3x - 12

And they say another line is parallel, once u see the word parallel means they have the same angle, same slope, same gradient ( sorry if I give u the wrong terms, since I learn mine in Malay)

So first u got to understand the slope-intercept form

y = mx + c

y is your y coordinate

x is your x coordinate

m is your gradient ( as in how much the line slants)

c is the y - intercept, as in, if u draw a graph, the y-coordinate where your line touches the y-axis (the vertical line)

So since the say the both lines are parallel, so both of their "m" is the same that is 3. Why? Cuz just compare

y = mx + c

y = 3x - 12

Therefore the m is 3

Therefore u alredy got your first value, so put it in your slope intercept form

y = mx + c

y = 3x + c

Now how to find c? Very easy, just put in the value of y and x from the coordinate ( that the line youre finding is on) they gave u, just put the value in

They gave u

(1, - 2)

So when x = 1, y = - 2

Therefore put it in

y = 3x + c

-2 = 3 (1) + c

c = - 5

Since now u have your m and c value, your slope intercept form is done, just put it in

y = mx + c

y = 3x + (-5)

y = 3x -5

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melomori [17]

The length of the radius will be 22 units.

<h3>What is the radius?</h3>

The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.

Now from the question, we have an expression:

r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )

By solving the above equation we get

r=(\dfrac{18997}{864} )

r=22

Hence the length of the radius will be 22 units.

To know more about radius follow

brainly.com/question/24375372

6 0
2 years ago
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which of the following answer choices describes all the transformation found in the cubic function f(x)=-(x+2)3-5
Alona [7]
The cubic function is f(x) = x^3

You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.

Those transfformations are:

1) Shift f(x) = x^3,  2 units leftward to obtain f(x) = (x + 2)^3

2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3

3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5
8 0
3 years ago
A rectangular locker is 1 4/5feet long, 1 4/5 feet wide, and 1 foot tall.The locker has a capacity of BLANK
alexandr1967 [171]
V=xyz where x,y,z are the three dimensions...

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3 0
3 years ago
Change 5x - y = 3 into slope-intercept form.<br> © by – 5x+3
agasfer [191]

The slope intercept form is y=5x-3

Explanation:

The equation is $5 x-y=3$

Now, we shall bring the equation $5 x-y=3$ in the slope intercept form.

The general form of the slope intercept is given by

y=mx+c

Hence, we need to rewrite the given equation in this form.

Thus, we have,

$5 x-y=3$

Subtracting both sides of the equation by 5x, we get,

-y=-5x+3

Multiplying both sides of the equation by (-), we get,

y=5x-3

Thus, the slope intercept form of the given equation is y=5x-3

7 0
3 years ago
The equation of a given circle in general form is x^2+y^2-8x+12y+27=0. Write the equation in standard form, (x-h)^2+(y-k)^2=r^2,
umka2103 [35]

Answer:

(x - 4)² + (y + 6)² = 5²

Step-by-step explanation:

rearrange the general equation as follows

collect the terms in x and y together and place the constant on the right side

x² - 8x + y² + 12y = - 27

add (half the coefficient of the x/y term)² to both sides

x² + 2(- 4)x + y² + 2(6)y = - 27

(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36

(x - 4)² + (y + 6)² = 25

(x - 4)² + (y + 6)² = 5² ← in standard form



7 0
3 years ago
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