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Alinara [238K]
2 years ago
13

Solve the system of equation y=4x-3 Y=-2x+9

Mathematics
1 answer:
Anna [14]2 years ago
5 0
Y=4x-3=1
Y=-2x+9=11 that’s the answer
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The base diameter and the height of a cone are both equal to x units.
SSSSS [86.1K]

Answer:

π x³ /12 cubic units.

hope this helps you and have a nice day

4 0
3 years ago
Pleas help ill appreciate it asap pleas
Mashcka [7]

Answer:

I think it would be 3y+3y-12 because 6y=3y+3y

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
xxTIMURxx [149]

Answer:

Option A: b must equal 7 and a second solution to the system must be located at the point (2, 5)

Step-by-step explanation:

<u><em>The complete question is</em></u>

Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Equation 1: (x – 3)2 = y – 4

Equation 2: y = -x + b

In order for Tom’s thinking to be correct, which qualifications must be met?

A: b must equal 7 and a second solution to the system must be located at the point (2, 5).

B: b must equal 1 and a second solution to the system must be located at the point (4, 5).

C: b must equal 7 and a second solution to the system must be located at the point (1, 8).

D: b must equal 1 and a second solution to the system must be located at the point (3, 4).

step 1

Find the vertex of the quadratic equation

The general equation of a vertical parabola in vertex form is

y=a(x-h)^2+k

where

(h,k) is the vertex

we have

(x-3)^{2}=y-4

so

y=(x-3)^{2}+4

The vertex is the point (3,4)

step 2

Find out the value of b in the linear equation

we know that

If the vertex is a solution of the system of equations, then the vertex must satisfy both equations

substitute the value of x and the value of y of the vertex in the linear equation

y=-x+b

For x=3, y=4

4=-3+b\\b=7

so

y=-x+7

step 3

Find out the second solution of the system of equations

we have

y=(x-3)^{2}+4 -----> equation A

y=-x+7 ----> equation B

solve the system of equations by graphing

Remember that the solutions are the intersection points both graphs

The second solution of the system of equations is (2,5)

see the attached figure

therefore

b must equal 7 and a second solution to the system must be located at the point (2, 5)

5 0
3 years ago
Read 2 more answers
20-10 write four equivalent expressions
igor_vitrenko [27]
Here's two. I can't think of any more.


20/10
20-(-10)
5 0
3 years ago
Share out £80 between Tom and jerry in the ratio 3:2
NemiM [27]
So let's add variables according to the ratio:
3n + 2n = <span>£80
5n = </span><span>£80
n = 16
3(16):2(16)
48:32
Tom gets </span>£48, and Jerry gets <span>£32</span>
6 0
3 years ago
Read 2 more answers
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