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3 years ago

Complete equation of the line through (1,4) and (2,2)

Mathematics

1 answer:

lions [1.4K]3 years ago

3 0

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1) / (x 2 - x 1) = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

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Can someone help me with this problem

user100 [1]

Answer:

About 110.6

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

$\sin 19= \dfrac{36}{x} \\\\x=\dfrac{36}{\sin 19}\approx 110.6$

Hope this helps!

5 0

3 years ago

Which graph represents the solution set of the system of inequalities?

lidiya [134]

$y < \dfrac{2}{3}x\\\\y=\dfrac{2}{3}x\\\\for\ x=0\to y=\dfrac{2}{3}(0)=0\to(0,\ 0)\\\\for\ x=3\to y=\dfrac{2}{3}(3)=2\to(3,\ 2)\\\\y\geq-x+2\\\\y=-x+2\\\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-2+2=0\to(2,\ 0)$

$y < \dfrac{2}{3}x$

the dotted line. shadow under the line

$y\geq-x+2$

solid line. shadow above the line

Answer in the attachment (graph C).

8 0

3 years ago

A car's gas tank that is 40% full contains 12 gallons of gas. Show the math you used to find the maximum capacity of the gas tan

Lisa [10]

Answer: 30 gallons

Step-by-step explanation:

So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. Then we figure out half of 40 percent which is 20 which means its 6 gallons. Now we add. 12+12+6 which equals our answer 30 gallons

3 0

3 years ago

Read 2 more answers

Solve for a!<br> 264=π×a×(20-a)<br> Thank you!

jasenka [17]

Answer:

a ≈ 14 or 6

Step-by-step explanation:

264 = π × a × (20 - a)

a(20 - a) = $\frac{264}{Pi}$ ≈ 84 (rounded off to nearest whole number)