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3 years ago

Solve the system of equations. y=3x y=x^2-10

Mathematics

2 answers:

puteri [66]3 years ago

5 0

Answer:

y=3x.........1

y=x^2-10.......2

substituting value of eq 1 to 2

3x=x^2-10

x^2-10-3x=0

x^2-3x-10=0

x^2-5x+2x-10=0

X(x-5)+2(x-5)=0

(x-5)(X+2)=0

then

X=5 or X=-2

again

y=??

when X=5

y=3×5=15

when X=-2

y=-6

Burka [1]3 years ago

5 0

Answer:

(-2, - 6) and (5,15) thats the answer hope that helps

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Solutions of 3x+2y=4 and 6x+4y=8

Alecsey [184]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Euclidean Geometry<br>which distance measures 7 units

belka [17]

Answer:

Whichever distance you can count the metric units and see that the x value is 7 on

Step-by-step explanation:

Whichever distance you can count the metric units and see that the x value is 7 on

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3 years ago

PLS HELP ME & EXPLAIN ANSWER <3

defon

Answer:

e. 10√30

Step-by-step explanation:

In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:

x/(10+50) = 50/x

Multiplying by 60x, we have ...

x^2 = 3000

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<em>Comment on estimating</em>

You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.

The only answer choice with a value between 50 and 60 is choice E.

You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.

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3 years ago

Find j(3x^4y^7) if j(n)=n^3

qaws [65]

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-(4*y-7)=0

STEP

Equation of a Straight Line

1.1 Solve 3x-4y+7 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y+7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000

y-intercept = 7/4 = 1.75000

Calculate the X-Intercept :

When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333

x-intercept = -7/3 = -2.33333

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 1.500/2.000 = 0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = -7/3 = -2.33333

y-intercept = 7/4 = 1.75000

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3 years ago