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3 years ago

Determine if the following tables from a lineAr equation if so identify the slope otherwise write non linear

Mathematics

1 answer:

mariarad [96]3 years ago

4 0

2)
a*2 + b = 26;
a*(-4) + b = -16;
then, a*6 = 42 => a = 7 => b = 26 -14 => b = 12;

from table, 7*9 + 12 = 63 + 12 = 75, correct;
7*(-8) + 12 = -56 + 12 = -44, correct;

slope = ( -44 + 16) / ( -8 + 4) = ( - 28) / (-4) = 7 = a;

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Find the value of a in the parallelogram.

Scorpion4ik [409]

A=20
5a-4=3a+36 (subtract 3a from both sides and add 4 to both sides)
2a=40. Divide 40by 2
A=20

6 0

2 years ago

A sphere with a diameter of 5 feet long is being painted. how much more paint would be needed to paint a sphere that has four ti

MArishka [77]

well, if the diameter is 5, thus its radius must be half that, or 2.5, and therefore, the radius of the one four times as much will be (4)(2.5).

Let's simply get their difference, since that'd be how much more is needed from the smaller to larger sphere.

$~\hfill \stackrel{\textit{surface area of a sphere}}{SA=4\pi r^2}\qquad \qquad r=radius~\hfill \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large difference of their areas}}{\stackrel{\textit{radius of (4)(2.5)}}{4\pi (4)(2.5)^2}~~ - ~~\stackrel{\textit{radius of 2.5}}{4\pi (2.5)^2}}\implies 100\pi -25\pi \implies 75\pi ~~ \approx ~~235.62~ft^2$

8 0

2 years ago

Dorian is spreading mulch on his triangular flowerbed. If the base is 8 feet and the height is 6 feet. How many square feet of m

katovenus [111]

Answer:

24 square feet

Step-by-step explanation:

Given:

Dorian is spreading mulch on his triangular flowerbed.

The base is 8 feet.

The height is 6 feet.

Question asked:

How many square feet of mulch will he need for the flowerbed?

Solution:

The base of triangular flowerbed = 8 feet.

The height of triangular flowerbed = 6 feet.

now, to find how many square feet of mulch he will need for the flowerbed, we will find area of the triangular flowerbed:-

As we know:

$Area\ of\ triangle=\frac{1}{2} \times base\times height$

$=\frac{1}{2} \times8\times6\\\\ =\frac{48}{2} \\ \\ =24\ square\ feet$

Thus, 24 square feet of mulch he will need for the flowerbed.

8 0

3 years ago

What is the median of the data set below? 275, 257, 301, 218, 265, 242, 201

Novay_Z [31]

The median is the middle number, and we can find that by listing the numbers in order of size.

201, 218, 242, 257, 265, 275, 301. We can see that the middle number is 257, so 257 is the median.

4 0

3 years ago

Read 2 more answers

The volume of the capsule

STatiana [176]

Volume of cylinder
πr^2h
π6^2x11=396π

Volume of sphere
4/3πr^3
4/3π6^3=288π

396π+288π=684π
=2148.849375

7 0

3 years ago