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4 years ago

The line parallel to x-3y=-12 that passes through (-3,4)

2 answers:

4 0

X-3y=12
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5

romanna [79]4 years ago

4 0

Answer:

-3y = -x - 12

3y = x + 12

y = (1/3)x + 4

y - 4 = (1/3)(x + 3)

y - 4 = (1/3)x + 1

y= (1/3)x+5

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Find the distance of PQ<br> P(0,4) and Q(10,-6)

solong [7]

Answer:

PQ ≈ 14.14 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = P (0, 4 ) and (x₂, y₂ ) = Q (10, - 6 )

PQ = $\sqrt{(10-0)^2+(-6-4)^2}$

= $\sqrt{10^2+(-10)^2}$

= $\sqrt{100+100}$

= $\sqrt{200}$

≈ 14.14 units ( to 2 dec. places )

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2 years ago

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Aleksandr [31]

The answer to this problem is 12:15

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3 years ago

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Each grade level at Hooperville Schools has 298 students.

madreJ [45]

Answer:

(a) 3,874 students.

(b) 46,488 students.

Step-by-step explanation:

We have been given the each grade level at Hooperville Schools has 298 students.

(a) To find the number of students that attend Hooperville Schools, we will multiply the number of grades by 298.

$\text{Students that attend Hooperville Schools}=13\times 298$

$\text{Students that attend Hooperville Schools}=3,874$

Therefore, 3,874 students attend Hooperville Schools.

(b) We have been given that nearby district, Willington, is much larger. They have 12 times as many students.

To find the number of students that attend schools in Willington, we will multiply number of students at Hooperville schools by 12.

$\text{Students that attend Willington Schools}=12\times 3,874$

$\text{Students that attend Willington Schools}=46,488$

Therefore, 46,488 students attend schools in Willington.

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3 years ago

A local Elementary School has 560 students. A Random Sample of 50

Komok [63]

Well since there was 560 students the it was 560/560. now that 50 got selected the total portion would be 560/6

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3 years ago

Which is the best way to estimate 32% of 13?

RSB [31]

Answer:

32% of 13 is 3.84

Step-by-step explanation:

but if your doing estimate one of those it would be 1/3*12

hope that helped

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3 years ago