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3 years ago

Which ordered pair is a solution for the system of equations y= x - 1 and y = x2 - 4x + 3?

Mathematics

1 answer:

Art [367]3 years ago

4 0

Answer:

(4,3),(1,0)

Step-by-step explanation:

There is a calculator that can solve this. its called mathaway.

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I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

4 0

3 years ago

if a toy rocket is launced vertically upward from ground level with an inital velocity of 128 feet per second, then its high h,

makkiz [27]

The toy rocket hits the ground when h(t) = 0.
So, h(t) = 0 = -9t^2 + 81.

Solving the equation,
-9t^2 = -81
Dividing by -9
t^2 = 9
Taking the square root.
t = 3

The answer is 3 seconds.

7 0

4 years ago

Problem 2. 1/8×5/6, And answer in simplest form

Ostrovityanka [42]

The simplest form is 5/48

8 0

4 years ago

3(12-3y^2) Help solve this please

HACTEHA [7]

Step 1. <span>Distribute

</span> $3*12+3*-3 y^{2}$
<span>
Step 2. Simplify </span> $3*12$ to $36$

$36+3*-3 y^{2}$

Step 3. Simplify $3*-3 y^{2}$ to $-9 y^{2}$

$36-9 y^{2}$

Done! :)

5 0

4 years ago

Simplify 8k+2+4k+(-3k)+5

Rzqust [24]

8k+4k-3k=9k
2+5=7
9k+7

3 0

3 years ago

Read 2 more answers