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3 years ago

Help with these math questions

Mathematics

1 answer:

KonstantinChe [14]3 years ago

7 0

The first one is: Y = (x - 1)² - 16

The third one is: (A) X = 6.
6² - 36 = 0

Still working on the other ones, though.

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The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

ANSWER:

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

SOLUTION:

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by

$M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, in our problem, $\mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5$

Now, on substituting values in midpoint formula, we get

$(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)$

On comparing, with the formula,

$\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1$

$-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2$

$\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7$

Hence, the coordinates of b are (-6, 7).

5 0

3 years ago

PLS HELP

Fiesta28 [93]

Answer:

1. 1/3 x 2/2 = 1/3

2. 1/4 x 5/5 = 1/4

3. 1/6 x 4/4 = 1/6

4. 9/8 x 3/4 = (9x3)/(8x4) = 27/32

4. 4/5 x 2/2 = 4/5

Step-by-step explanation:

n/n = 1

7 0

3 years ago

Solving distance problems- 10 points

slega [8]

Answer:

1. 54 and 9/20 km

2. 80 mm

3. 1.142 mi

4.0.83333 cm

Step-by-step explanation:

Do them all by the butterfly method.

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2 years ago

Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side

gizmo_the_mogwai [7]

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is $V=\dfrac{3}{4}\ yd^3$

Length of the cubic block is $a=\dfrac{1}{2}\ yd$

Volume of each cubic block is

$\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3$

Suppose, n blocks are required to measure the volume of Prism

$\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}$

Thus, 6 blocks are required to measure the volume of prism.

7 0

3 years ago

The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth.

ohaa [14]

Answer:

V ≈ 2144.70 $cm^3$

Step-by-step explanation:

Radius is going to be used instead of the diameter. Half of 16 is 8, and so that will be the value that shall be used.

$V = (4/3)\pi (8)^3$

V ≈ 2144.66 $cm^3$

V ≈ 2144.70 $cm^3$

5 0

3 years ago