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3 years ago

Simplify the measurement using fractions. 10 inches is what part of a foot?

Mathematics

1 answer:

trasher [3.6K]3 years ago

7 0

5/6, its 10/12, so just divide by two to simplify.

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A quadratic function has its vertex at the point (- 3, 8) . The function passes through the point (0, 0) . When written in verte

SIZIF [17.4K]

Answer:

f(x) = -8/3(x+3)+8

a = -8/3

b = technically equals -3 but when we plug it in it gets turned into 3 *double negative

k = 8

Step-by-step explanation:

Vertex: (h,k)

Use the points (0,0) and (-3,8) to find the slope

y2-y1/x2- x1

6 0

3 years ago

A line intersects the points(-22,-14) and (-18,-12). What is the slope-intercept equation for this line?

zaharov [31]

Hello there,

Well we are going to start off with the equation to find the slope based on the given points:

$\frac{y_{2} - y_{1} }{x_{2} -x_{1} }$

Now using the two given points we are going to plug in and solve:

$\frac{(-12)-(-14)}{(-18)-(-22)}$ = $\frac{2}{4}$ = $\frac{1}{2}$

From this you know that $\frac{1}{2}$ is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:

(-14) = $\frac{1}{2}$ (-22) + b

(-14) = (-11) + b

-3 = b

That means that the y-intercept is at (0, -3). Lastly, we are just going to plug all this into the slope-intercept form:

y = $\frac{1}{2}$ - 3

Hope I helped,

Amna

6 0

3 years ago

Which is equivalent to 23·2-5? A) 2-15 B) 2-8 Eliminate C) 2-2 D) 22

bulgar [2K]

2^3 * 2^-5 = 2^(3 + (-5) = 2^(3 - 5) = 2^-2

4 0

3 years ago

An arithmetic progression is a sequence of numbers in which the distance (or difference) between any two successive numbers if t

notsponge [240]

Answer:[m, m+d, m+2d, - - - - -, n]

Step-by-step explanation:

We know the formula for arithmetic progression is a_(n) = a_(1) + (n-1)d

Where a_(n) is the nth term of the sequence

a_(1) is the first term of the sequence

n is the number of the term like if we are talking about 7th term so the n is 7.

d is the difference between two successive terms.

For this problem we know our first term that is m, our last term that is n and our difference that is d.

For second term we will use the formula

a_(2) = m + (2-1)d

a_(2) = m + (1)d

a_(2) = m + d

Similarly,

a_(3) = m + (3-1)d

a_(3) = m + (2)d

a_(3) = m + 2d

3 0

3 years ago

Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inc

Vadim26 [7]

Answer: r = 1.69 inches

h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

$V=\frac{1}{3}\pi r^{2}h$

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

$9=\frac{1}{3}\pi r^{2}3$

$\pi r^{2}=9$

$r^{2}=2.864$

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

$9=\frac{1}{3}\pi (2)^{2}h$

$h=\frac{9(3)}{4 \pi}$

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

6 0

3 years ago