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julsineya [31]
3 years ago
14

Help me with answering this question

Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:

x-intercept is (-4,0) and the y-intercept is (0,-2

Step-by-step explanation:

There are 2 ways to find the y-intercept. One way is to put the equation in slope-intercept form. However, there is a more efficient way as well.

Another way to do it is to plug 0 in for x and y. The x-intercept will have the coordinate of (x,0). So to find the x-intercept you can plug in 0 for y and solve for x. To find the y-intercept do the opposite and plug 0 in for x.

So, first, plug 0 in for y

  1. x+2(0)=-4
  2. x+0=-4
  3. x=-4

Then plug in 0 for x

  1. 0+2y=-4
  2. 2y=-4
  3. y=-2

Therefore, the x-intercept is (-4,0) and the y-intercept is (0,-2).

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What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?
asambeis [7]

Answer:

  • (x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

\sf \: x^2+y^2=16x

The equation of a circle with center (h,k) and radius r units is

\sf(x-h)^2+(y-k)^2=r^2(x−h)

\sf(x-7)^2+(y-5)^2=4^2(x−7)

\sf(x-7)^2+(y-5)^2=16(x−7)

<h2>❖ Tip❖ :- </h2>

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

6 0
2 years ago
Create a number pattern that follows the rule
vazorg [7]

Answer:

The pattern form is 8,15,34,71 which follows the rule x^3+7

Step-by-step explanation:

Given : Rule x^3+7

To find : Create a number pattern that follows the rule. Use at least three terms in the pattern ?

Solution :

Rule x^3+7

Put n=1,

x^3+7=(1)^3+7

x^3+7=1+7=8

Put n=2,

x^3+7=(2)^3+7

x^3+7=8+7=15

Put n=3,

x^3+7=(3)^3+7

x^3+7=27+7=34

Put n=4,

x^3+7=(4)^3+7

x^3+7=64+7=71

The pattern form is 8,15,34,71 which follows the rule x^3+7

5 0
3 years ago
There are 7 tigers at the zoo. Each year, the number of tigers increases by 10%. There are 15 eagles at the zoo. Each year, 2 ne
LekaFEV [45]

<span><span> <span>A)let number of years = xTigers =7*[(1.1) ^x] <span>Eagles =15+2x

B) x=10</span>Tigers= 7 *(1.1) ^10=18.156 round down to 18</span><span> </span><span> Eagles =15+2(10) = 15+20 = 35</span></span></span>

<span><span><span /><span>C) 7*(1.1^x) = 15+2x = x = 22.5638 <span> Round to 23 years</span> </span></span></span><span> </span>

7 0
3 years ago
WHAT IS THE ANSWER PLZ HELP ME??? I WILL MARK BRAINLIEST!!!
Anestetic [448]

Answer:

- 5/6

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turn it into an improper fraction.

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2 and 1/2 = 5/2

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= -5/6

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