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morpeh [17]
3 years ago
5

Solve the following system of equations using the substitution method.

Mathematics
1 answer:
Novay_Z [31]3 years ago
7 0
X=2y
2x+5y=9

substitute the x=2y into the second equation
2(2y)+5y=9
multiple the 2y by 2. 4y+5y=9
combine like terms. 9y=9
divide the 9 out from both sides. y=1
plug the y back into the first equation
x=2(1)
multiply. x=2

your answer is: x=2
y=1
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Evaluate -2x^2-4x+3 when x=-2
Misha Larkins [42]

Answer:

  3

Step-by-step explanation:

A polynomial is sometimes easier to evaluate if it is first written in Horner form:

  -2x^2 -4x +3 = (-2x -4)x +3

For x = -2, this is ...

  (-2(-2) -4)(-2) +3 = 0(-2) +3 = 3

The value is 3 when x = -2.

8 0
2 years ago
PLEASE HELP ASAP WILL MARK BRAINLIEST
netineya [11]
For the first one a=4 cuz 4x4=16
7 0
2 years ago
Read 2 more answers
Please help this is very important
alexandr1967 [171]

Answer:

Here's what I get.

Step-by-step explanation:

1. Rotate 180° about origin

The formula for rotation of a point (x,y) by an angle θ about the origin is  

x' = xcosθ  -  ysinθ

y' = ycosθ + xsinθ

If θ = 180°, sinθ = 0 and cosθ = -1, and the formula becomes

x' =   -x

y' =  -y

The rule is then (x, y) ⟶ (-x, -y).

H: (-3, -5) ⟶ (3, 5)

J: (-5, -3) ⟶ (5, 3)

Q: (0, -1) ⟶ (0, 1)  

The vertices of H'J'Q' are (3, 5), (5, 3), and (0, 1).

2. Rotation 90° counterclockwise about origin

cos90°  = 0 and sin90° = 1

x' = xcos90°  -  ysin90° = -y

y' = ycos90° + xsin90° =  x

The rule is then (x, y) ⟶ (-y, x).

B: (4, 5) ⟶ (-5, 4)

L: (5, 0) ⟶ (0, 5)

S: (2, 2) ⟶ (-2, 2)  

The vertices of B'L'S' are (-5, 4), (0, 5), and (-2, 2).

3. Rotation 90° clockwise about origin

cos(-90°) = 0 and sin(-90°) = -1

x' = xcos(-90°)  -  ysin(-90°) =  y

y' = ycos(-90°) + xsin(-90°) =  -x

The rule is then (x, y) ⟶ (y, -x).

F: (1, -5) ⟶ (-5, -1)

H: (-2, -3) ⟶ (-3, 2)

U: (-4, -5) ⟶ (-5, 4)  

The vertices of F'H'U' are (-5, -1), (-3, -2), and (-5, 4).

4. Rotate 180° about origin

The rule is (x, y) ⟶ (-x, -y).

J: (1, -1) ⟶ (-1, 1)

V: (2, 0) ⟶ (-2, 0)

Y: (5, -3) ⟶ (-5, 3)

R: (4, -3) ⟶ (-4, 3)  

The vertices of J'V'Y'R' are (-1, 1), (-2, 0), (-5, 3), and (-4, 3).

The figures below show your shapes before and after the rotations.

7 0
3 years ago
True or False: Surface area is the combined area for all of the surfaces of a 3D shape.
Lena [83]

Answer:

A.

Step-by-step explanation:

It's false

8 0
2 years ago
Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of 20.75% per month. How many m
drek231 [11]

The number of months it would take the bunny farm to triple in size is 5.3 months.

<h3>When would the bunny farm be triple its size?</h3>

The formula that can be used to determine the number of months it would take Mrs. Galicia's bunnies to triple in size is:

Number of years =  (In FV / PV) / r

  • FV = future population of the bunnies
  • PV = present population of the bunnies
  • r = rate of growth
  • FV / PV = 3

IN(3) / 0.2075 = 5.3 months

To learn more about tripling time, please check: brainly.com/question/21841217

8 0
2 years ago
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