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3 years ago

Write an equation for the line, given the that m=3 and the y-intercept is (0,2)

Mathematics

2 answers:

Oliga [24]3 years ago

7 0

Answer:

The equation of required line is y=3x+2.

Step-by-step explanation:

The slope intercept form of a line is y=mx+b ..... (1)

where, m is slope and b is y-intercept. We need to find the equation of line whose slope is m=3 and the y-intercept is (0,2). Substitute m=3 and b=2 in equation (1), to find the equation of required line.

y=(3)x+(2)

y=3x+2

Therefore the equation of required line is y=3x+2.

lina2011 [118]3 years ago

5 0

All equations of lines must be wrote in the form: Y=mx+c

m= the gradient
c= y intercept

Y= 3x+2

Hope this helps!

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Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian

Nadya [2.5K]

Answer:

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

Step-by-step explanation:

It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

$\frac{3}{4}=0.75$

So,

$0$

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

6 0

2 years ago

Find the difference. 3x^2y - x^2y

Murljashka [212]

Answer: 2x^2y

Step-by-step explanation:

Just subtraction.

The x is like a unit, There are 3 X's at first then subtract 1 x and you gor 2x.

Exponents will always stay the same unless there is division or multiplication involved

5 0

2 years ago

The volume of a cone is 16 pi cubic inches. Its height is 12 inches. What is the radius of the cone? 2 in. 4 in. 12 in. 16 in.

mart [117]

The radius of cone is 2 inches

Solution:

The volume of cone is given by formula:

$V = \frac{\pi r^2h}{3}$

Where,

"V" is the volume of cone

"r" and "h" are the radius and height of cone respectively

Given that, volume of a cone is 16 pi cubic inches

Its height is 12 inches

Therefore, we get,

V = $16 \pi$ cubic inches

h = 12 inches

r = ?

Substituting the values in formula, we get

$16 \pi = \frac{ \pi \times r^2 \times 12}{3}\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2$

Since, radius cannot be negative, ignore r = -2

Thus radius of cone is 2 inches

8 0

3 years ago

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+95 points PLEASE PLEASE PLEASE`...if you have comments or questions plz put them in the comments. I really need help and I'll m

seropon [69]

Answer:

Its too blurry, I cant even read it sorry :(

Step-by-step explanation:

7 0

2 years ago

Pls answer this pls i’m gonna die

Naily [24]

It 's an isosceles triangle if you look carefully. 2 Sides of the triangle are equal which is denoted by those marks. The angles opposite to the equal sides are always equal, so: $m\angle FST = 64^\circ$

By angle sum property, $m\angle TFS = 180 - 2 * 64 = 180 - 128 = 52^\circ$

52 degrees is the answer: Option D :D

3 0

2 years ago

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