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2 years ago

A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?

Mathematics

2 answers:

levacccp [35]2 years ago

6 0

Answer:

y = 4x + 2

Step-by-step explanation:

The slope-intercept form:

y = mx + b, where m is the slope, b is the y-intercept

Find the slope using given points:

m = (10 - 2)/(2 - 0) = 8 / 2 = 4

The y-intercept is given with point (0, 2):

b = 2

The line is:

y = 4x + 2

Alex Ar [27]2 years ago

6 0

(0,2)
(2,10)

$\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4$

Put in slope intercept form

$\\ \sf{:}\Rrightarrow y=mx+b$

$\\ \sf{:}\Rrightarrow 2=4(0)+b$

$\\ \sf{:}\Rrightarrow 2=b$

Equation of the line

$\\ \sf{:}\Rrightarrow y=4x+2$

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Solutions of the equation: z2 - 12z + 36 = 0?

jasenka [17]

36 becomes a negative

First -36 + -1 -37
Next: -18 + -2 = -20
Next: -12 + -3 = -15
Next: -9 + -4 which equals -13
Finally we get to the last part: -6 + -6 = -12

We change z2 to $z^{2}$

$z^{2}$ - 6(z) = 36

z(z) - 6

Because, we add up for the first two terms

Switch up, up the problem 6(z) - 6

Now, let's add the number 4 on the terms
z - 6 (z - 6)

Then, let's multiply z - 6 from z - 6

$z - 6^{2} = ? 
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From this problem we have to add 6 from the sides that we are working with

Therefore, your answer for z is 6

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2 years ago

What are all the shapes that are used to create the net of a cylinder

Ksenya-84 [330]

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6 0

3 years ago

Read 2 more answers

Find the area and circumference of the figure below.

nexus9112 [7]

Answer:

162.12385 cubic inches

Step-by-step explanation:

Assuming finding the area and circumference of the shaded area.

Triangle with 3 sides and 90 degrees on one side, we can use the Pythagorean Theorem to solve for the missing side.

Pythag. Theorem says

a^2 + b^2 = c^2

//a and b are the 2 small sides touching to the 90 degree angle

//^2 means squared, or the number multiplied by itself

(16)^2 +(30)^2 = c^2

16x16 + 30x30 = c^2

256 + 900 = c^2

1156 = c^2

Take the square root of both sides to get rid of (^2) from the right side of the equation.

sqrt(1156) = sqrt(c^2)

34 = c

So the longest side is 34 inches.

Coincidentally, this is the diameter of the Half Circle.

The radius = (diameter/2) = 34/2 = 16 inches

radius = 16 in.

Circumference of a Circle formula:

C = 2*pi*r; pi=3.14; r = radius

But this is a half circle, so C = pi*r = 3.14*16 = 50.2654

Now to find the area its a little more work.

Area of shaded part is equal to

Area of half circle minus area of triangle

Area of Circle: pi*r^2

-->since half circle: Area of half circle is: (pi*r^2)/2

Area of triangle: (base*height)/2: (16*30)/2

A of circle - A of triangle

(3.14*16^2)/2 - (16*30)/2

Area of shaded region = 162.12385

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2 years ago

What is the value of A in the area model for finding the quotient of 4,340 ÷ 5?

Angelina_Jolie [31]

Value A:

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Answer is D) 4,000

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2 years ago

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29.

natali 33 [55]

Answer:

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$x-250$

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$f(x)=29\\ 0\leq x\leq 250$

$f(x)=0.35(x-250)+29,\\250\leq x\leq ∞$

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2 years ago