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Anna [14]
3 years ago
7

2) A student uses the substitution method to solve the system of equations below algebraically.

Mathematics
1 answer:
Rasek [7]3 years ago
5 0
Pretty sure it's the last one.
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Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of
Otrada [13]

Answer:

y = -3/2x + 2

Step-by-step explanation:

Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.

y = 2/3x + 8 becomes

2 = -3/2(0) + b  We substitute in the x and y values, but we have to figure out what the last number will be.

2 = 0 + b

b = 2

So put the whole equation together

y = -3/2x + 2

3 0
2 years ago
What is a parabola? pls help because i need this quick.
KiRa [710]

A parabola is a curved shape in a graph that has either a maximum or a minimum (which is the fixed point) and any point is equidistant from that fixed point. You can tell it is a parabola because most likely in an equation the x with be squared.


3 0
3 years ago
If f(x) = -x + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f +g)(x)?<br> -
Lyrx [107]

Answer:

This is so easy

Let me explain:

first lets find out (f+g)(x)=-x+3x+5+x^2+2x=

x^2+4x+5 this is the equation of a parabola because we have x^2

so only the first graph shows us a parabola

which remains the right one.

6 0
3 years ago
The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t
andrezito [222]
1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

2x^2 = 49 in^s

x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.
5 0
3 years ago
What is the solution for x in the equation?
navik [9.2K]

Step-by-step explanation:

option C

hope it helps

thank you

3 0
3 years ago
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