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3 years ago

Find the equation of the line that passes through (1,6) and (3,10).

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2 slope of line

y = m x + b standard form of straight line

y = 2 x + b where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4 from our first equation

Also, b = 10 - 6 = 4 check from second equation

y = 2 x + 4 is our equation

Check if y = 6 and x = 1 then

y = 2 * 1 + 4 = 6 verifying the first point given

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16 is 4% of what number?

IrinaK [193]

16 is 4% of 400

Change the percentage into a decimal by dividing the decimal over 100:
$\frac{4}{100} = 0.04$

Divide 16 by the decimal (0.04):
$16 \div 0.04 = 400$

3 0

3 years ago

HELPPPPP!!!! 20 POINTS GIVEN!

babunello [35]

Answer:

Answer

4.0/5

JannetPalos

While representing 3 - 4 on the number line, from the starting point 0, we need to show an arrow to three numbers on the right.

Since - 4 is the additive inverse of 4, from the point where the first arrow pointed, we should go 4 points to the left.

Hence, the number line which shows an arrow from 0 to 3, and then from 3 to negative 1 is the correct one.

Step-by-step explanation:

Hope that helps!!

3 0

3 years ago

Theo drove 236 miles in 4 hours. Lex drove 195 miles in 3 hours. At those rates, could either man drive 116 miles in 2 hours? Sh

motikmotik

Answer:

No.

Step-by-step explanation:

236÷4=59

195÷3=65

To check if either of them drove 116 miles in 2 hours, I would multiply the sum of the division problems by 2(for 2 hours).

59 x 2 = 118

65 x 2 = 130

None of them equals 116, meaning neither of them drove 116 miles in 2 hours.

Hope I helped you! Have a great day! :)

6 0

3 years ago

Select ALL of the following scenarios that can be modeled by the equation 3t−6=17 .

Ne4ueva [31]

The answer is: If you triple the number of miles Karin lives from the school and then add six, you get 17 miles.

4 0

3 years ago

Does anyone know the answer to this? Algebra 2

natulia [17]

Answer:

Step-by-step explanation:

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

If, sinθ = - $\frac{1}{2}$ and π < θ < $\frac{3\pi }{2}$

Since, sinθ is negative, angle θ will be in IIIrd quadrant.

And the measure of angle θ will be (180° + 30°)

θ = 210°

It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.

Therefore, cos(210°) = $-\frac{\sqrt{3} }{2}$

tan(210°) = $\frac{1}{\sqrt{3} }$

csc(210°) = $-\frac{1}{2}$

sec(210°) = $-\frac{2}{\sqrt{3} }$

cot(210°) = √3

3 0

3 years ago