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Reptile [31]
3 years ago
14

Enter the y coordinate of the solution to this system of equations. -2x+3y=-6 5x-6y=15

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0
Y coordinate on solving both equations comes out to be 0
-2x+3y=-6
3y = -6+2x
put the value of 3y in equation 2nd
5x-2(-6+2x) =15
5x+12-4x = 15
x=3
put value of X in 3y = -6+2x
3y = -6+2*3 = -6+6 = 0
thus y = 0
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Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -200 feet. Then she continued to hike down
DedPeter [7]

The <em><u>correct answer</u></em> is:

The faster rate is when she hiked down 200 feet in 10 minutes.

Explanation:

The rate of change is given by the change in y over the change in x; in this case, the change in elevation over the change in time.

For the first part of the hike, the change in elevation was -200 and the change in time was 10; this gives us a rate of change of -200/10 = -20.

For the second part of the hike, the change in elevation was -300 and the change in time was 20; this gives us a rate of change of -300/20 = -15.

She hiked downhill faster during the first part of the hike, at 20 feet per minute.

8 0
2 years ago
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ratelena [41]

Answer:

70

Step-by-step explanation:

6 0
3 years ago
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Colin uses 2 3 23 cup of vegetable oil in each cake that he makes for his father's bakery. If Colin made 8 cakes, how much oil d
mel-nik [20]
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5 0
3 years ago
Solve for the indicated variable.<br><br> y = mx + b for x<br><br> x=
kogti [31]

Answer:

y-b/m = x

Step-by-step explanation:

y = mx + b

~Subtract b to both sides

y - b = mx

~Divide m to both sides

y-b/m = x

Best of Luck!

3 0
3 years ago
Can someone help me on this question?
notsponge [240]

Answer:

x = 19.6

Step-by-step explanation:

By applying cosine rule in ΔBCD,

cos(30)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

              = \frac{BC}{BD}

\frac{\sqrt{3}}{2}=\frac{BC}{16}

BC = 8\sqrt{3}

Now, by applying sine rule in ΔBAC,

sin(45)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{1}{\sqrt{2}}=\frac{AB}{BC}

\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}

x = 8\sqrt{6}

x = 19.59

x ≈ 19.6  

3 0
2 years ago
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