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ra1l [238]
2 years ago
13

The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason

in the proof.
Statements Reasons
2x + 2y = 14
−4x + 6y = 12 Given
2x + 2y = 14
−2x + 3y = 6 ?

Multiplication Property of Equality
Addition Property of Equality
Division Property of Equality
Subtraction Property of Equality
Mathematics
1 answer:
lianna [129]2 years ago
8 0
Multiplication property of equality
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Standard notation 8.15×10^5​
sukhopar [10]

Answer:

8.15×10^5

Step-by-step explanation:

8.15×10^5

8.15×100000

815000

8 0
3 years ago
A scale drawing for a rectangular parking lot is shown. Find the area of the scale drawing.
zhenek [66]

Answer:

113.52 sq cm

Step-by-step explanation:

13.2 times 8.6 is 113.52. You get area by multiplying a length and a width.

7 0
3 years ago
Read 2 more answers
Please help asap!!!
sp2606 [1]

Answer:

y=\frac{1}{6} (x+5)^2-4.5

y=\frac{-1}{20} (x-10)^2+1

Step-by-step explanation:

focus at (-5, -3), and directrix y = -6

Directrix y=-6 so its  a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

(h,k) is the center

P is the distance between focus and vertex

distance between focus and directrix = 2p

distance between -3  and y=-6 is 3

2p = 3

p = 3/2 or p = 1.5

Focus is (h, k+p)

given focus is (-5, -3) so h= -5  and k+p = -3

k+p=-3, plug in 1.5 for p

k + 1.5 = -3

subtract 1.5 on both sides

k = -4.5

(x-h)^2 = 4p(y-k)

(x+5)^2= 4(1.5) (y+4.5)

(x+5)^2= 6(y+4.5)

divide by 6 on both sides

then subtract 4.5 on both sides

y=\frac{1}{6} (x+5)^2-4.5

focus at (10, -4), and directrix y = 6.

Directrix y=6 so its  a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

distance between focus and directrix = 2p

distance between -4  and y=6 is -4-6=-10

2p = -10

p = -5

Focus is (h, k+p)

given focus is (10, -4) so h= 10  and k+p = -4

k+p=-4, plug in 5 for p

k - 5 = -4

add 5 on both sides

k = 1

(x-h)^2 = 4p(y-k)

(x-10)^2= 4(-5) (y-1)

(x-10)^2= -20(y-1)

divide by -20 on both sides and add 1 on both sides

y=\frac{-1}{20} (x-10)^2+1


8 0
3 years ago
624/50<br> please help will give Brainliest!
natulia [17]
The answer is 12.48 hope this helps!
3 0
3 years ago
Read 2 more answers
-X + 8 + 3x = x-6<br> Help
Alexeev081 [22]
The answer would be, x = -14
8 0
3 years ago
Read 2 more answers
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