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2 years ago

Which is the equation of the line with slope 3 that contains point (-1,5)?

Mathematics

2 answers:

Elena-2011 [213]2 years ago

7 0

The answer is y-5=3(x+1)

kotegsom [21]2 years ago

4 0

Answer:

$y-5=3(x+1)$

Step-by-step explanation:

We can see that the question is asking for the Point-Slope Form;

$y-y_{1} =m(x-x_{1})$

The points go into the equation for $y_{1}$ and $x_{1}$

$y-5=m[x-(-1)]$

M would be the slope;

$y-5=3[x-(-1)]$

Which basically is:

$y-5=3(x+1)$

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

3 years ago

1. Which of the following points is a solution of y > |x| + 5?

Dennis_Churaev [7]

1. iThis is shaped like a V with its vertex at the point (0,5)
( its ( 1,7)

2. -3 <= -1-1 = =2

so its (-1, -3)

7 0

3 years ago

Read 2 more answers

What is the justification for the step taken from line 2 to line 3?

stiv31 [10]

Step-by-step explanation:

$3x+9-7x=x+10+x\\-4x+9=2x+10\\-6x+9=10\\$

In the line 2, only variables were operated with a reduction of similar terms in each side of the equation, giving as result -4x at one side, and 2x at the other side.
In the line 3, terms with variables were joined together in one side of the equation, and then, they were operate it, given as result -6X.

3 0

3 years ago

Read 2 more answers

Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the a

Dvinal [7]

Answer:120°

Step-by-step explanation:

Given

cake is cut into 12 equal pieces

We know the top view of cake is similar to circle .

So, if a circle is divided into 12 equal parts then

each part subtend an angle of

∅ = 360/12 = 30%

If 8 slices were eaten , then 4 slices are remaining

These 4 slices measure subtend equal angle at the center therefore

4 slice measure a total of 4 × ∅

➡️ 4 x 30°

➡️ 120°

5 0

3 years ago

Determine the equation of the line that passes through A(2,-5) and B(6,-3).

yaroslaw [1]

Answer:

y = 1/2x - 6

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - (-5) / 6 - 2

2/4

= 1/2

y = 1/2x + b

-3 = 1/2(6) + b

-3 = 3 + b

-6 = b

5 0

3 years ago