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Inessa05 [86]
3 years ago
7

I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:answer is b

Step-by-step explanation: Just makes since

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Which of the following expressions is equivalent to 20 + 30x?​
Nostrana [21]
You have to get X all by itself so you divide 20 and 30 which gives you a fraction. X= 20/30
Then = 2/3
4 0
2 years ago
A parabola can be drawn given a focus of
Volgvan

Answer:

y=-\frac{1}{4}(x-2)^{2}+9

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at (2,8).

Directrix of the parabola is y=10.

Let (x,y) be any point on the parabola. Then, from the definition of a parabola,

Distance of (x,y) from focus = Distance of (x,y) from directrix.

Therefore,

\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|

Squaring both sides, we get

(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9

Hence, the equation of the parabola is y=-\frac{1}{4}(x-2)^{2}+9.

4 0
3 years ago
Three consecutive integers can be represented by n, n + 1, and n + 2. if the seum of three consecutive integers is 57, what are
Helen [10]
Sum means add
sum of the 3 is
n+n+1+n+2

it add to 57
n+n+1+n+2=57
3n+3=57
minus 3 both sides
3n=54
divide both sides by 3
n=15
n+1=16
n+2=17

the integers are 15,16, and 17
8 0
3 years ago
What is the linear function equation represented by the graph?
SVETLANKA909090 [29]

Answer:

y=\frac{1}{3}x -4

Step-by-step explanation:

To write a linear function, use y=mx+b where m is the slope and b is the y-intercept. The y-intercept is where the line on the graph crosses the y-axis. On the graph is crosses at (0,-4). So b=-4. To find the slope, subtract the difference between two points on the line which cross through a grid line intersection. (0,-4) is one point. (3,-3) is another.

\frac{-3--4}{3-0}=\frac{-3+4}{3} =\frac{1}{3}

Input 1/3 and b=-4 into y=mx+b.

y=\frac{1}{3}x -4

4 0
3 years ago
PLEASE HELP I WILL MARK YOU BRAINLIEST
eimsori [14]

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

8 0
3 years ago
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