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Alisiya [41]
2 years ago
8

WILL GIVE BRAILIEST: 8th grade: equations and geometry

Mathematics
2 answers:
Aloiza [94]2 years ago
8 0
That’s should he right but also it could of been 54
USPshnik [31]2 years ago
7 0

Answer:

C. j=2 and h=4

Step-by-step explanation:

Step 1: Create a system of equations for your problem based off what we know.

- we should know that the equation to find the perimeter of something is

P= 2l+2w where <em>P</em> is the perimeter, <em>l </em> is the length, and <em> w </em> is the width.

- we know that the perimeter of Rectangle P is 20 inches and that the perimeter of Rectangle Q is 30

- we know the length and width of both rectangles

Using this information, lets set up our system.:

\left \{ {{20=2(j+4)+2h} \atop {30=2(3h)+2(j+1)}} \right.

Step 2: Using the top equation we're going to try to solve for one of the variables. I chose to solve for variable <em>j.</em>

20=2(j+4)+2h

Start by distributing 2 into j + 4.

20=2j+8+2h

Now subtract 8 from both sides of the equation.

12=2j+2h

Now isolate variable j by subtracting 2h from both sides of the equation.

12-2h=2j

Now condense the equation into simple terms by dividing both sides by its GCF 2 then reorder to get j on the left.

j=6-h

Step 3: Now that we solved for variable j we can now substitute j into one of our equations from the original system. I chose to use the bottom equation and chose to distribute it before substituting.

30=6h+2j+2

Subtract two from both sides to isolate the variables

28=6h+2j

Now we can plug j into our equation

28=6h+2(6-h)

Step 4: Distribute 2 into 6-h

28=6h+12-2h

Step 5: Combine like terms

28=4h+12

Step 6: Subtract 12 from both sides of the equation

16=4h

Step 7: Divide both sides by 4

4=h

Now that we know that h=4 we can plug 4 into one of our earlier equations. I used j=6-h

j=6-4\\j=2

Plug answers into either one of the original equations to check answer

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Step-by-step explanation:

4 0
3 years ago
Can someone help me on this question please
IgorLugansk [536]

Answer:

y = -2x + 5 [ 1st option ]

Step-by-step explanation:

Consider any two points , say

  • (1,3)
  • (2,1)

Firstly let's find the slope of the line as ,

=> m = y₁ - y₂ / x₁ - x₂

=> m = 3-1 / 1-2

=> m = 2/-1

=> m = -2

Third point is, (3 , -1) . Using slope point form .

=> y - y₁ = m ( x - x₁ )

=> y - (-1) = -2( x - 3)

=> y + 1 = -2x +6

=> y +2x +1-6=0

=> y +2x -5 = 0

=> y = -2x + 5

On looking at options first one is correct

<h3><u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> line</u><u> </u><u>is </u><u>y </u><u>=</u><u> </u><u>-2x </u><u>+</u><u> </u><u>5</u><u>.</u></h3>
4 0
3 years ago
A bacteria population starts at 500 and doubles every 8 hours. What is the bacteria population after 12 hours?
Finger [1]

Answer:

1000

Step-by-step explanation:

After 8 hours, it becomes 1000, and because it doesn’t make it to 16 hours it stays at 1000.

4 0
3 years ago
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gayaneshka [121]

Answer:

9

Step-by-step explanation:

Initial number  occurs when x = 0

so its 9(2)^0

= 9*1

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8 0
3 years ago
write three ratios that are equivalent to the one given:the ratio of right of right-handed students to left-handed students is 1
laila [671]
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9 : 2 if you divide 18 and 4 by 2
36 : 8 if you multiply 18 and 4 by 2
54 : 12 if you multiply 18 and 4 by 3

Hope this helps!!
7 0
3 years ago
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