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3 years ago

Write an equation of a line that passes through (-1,6) and has a slope of 4.

Mathematics

1 answer:

jeka943 years ago

7 0

Answer:

y-6=4(x+1) or y=4x+10

Step-by-step explanation:

Point: (-1,6)

m=4

Slope-point form is y-y1=m(x-x1)

y1=6

x1=-1

Now, plug it in!

y-6=4(x-(-1)) which is y-6=4(x+1)

Of course, if you want you could always simplify it down to y=4x+10 if you wanted to

Hope this helps!

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A plane flew 193 km in 12 minutes. At a constant speed what was the speed of the air plane at km per hour?

Mrac [35]

Answer:

965 km per hour

Step-by-step explanation:

The total distance flown was 193km which was flown at constant speed and took 12 minutes. Dividing 193 by 12 gives us the km per minute

193/12 = 16.0833333

but this isn't the correct answer, this is in km per minute, and the question asked for km per hour. Since there are 60 minutes in an hour, multiply the answer by 60 to calculate how far the plane flew per hour.

16.083333333(60) = 965

7 0

3 years ago

JamIah's weight is 4/3 of Devi's weight. What is the ratio of Jamiah's weight to Devi's weight.

melomori [17]

Answer:

Therefore, a ratio of 8/6 is an equivalent ratio of 4/3: in that particular ratio calculation, you should just multiply 4, as well as 3, by 2.

Step-by-step explanation:

I hope this helps! :D

4 0

3 years ago

Read 2 more answers

What is the value of | -5 | - (-5)?

musickatia [10]

|-5|-(-5)

The absolute value of any number is always positive

5-(-5)

When there is a in front of an expression in parentheses, change the sign of each term in the expression

5+5

Add the numbers

10

Answer=10

3 0

3 years ago

A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

3 years ago

If a convex polyhedron has 12 edges and 8 faces, then how many vertices does it have?

Vika [28.1K]

Hi

Use Euler's formula for this for a 3D figure. F + V = E + 2, where F is the number of faces, V is the number of vertices, E is the number of edges, +2! You have enough info to fill in the formula to find that the number of vertices is 6.
Hoped I Helped

4 0

4 years ago

Read 2 more answers