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2 years ago

Which is the graph of the equation y-1=2/3(x-3)?

Mathematics

2 answers:

Ksivusya [100]2 years ago

7 0

Answer:

The bottom graph is the graph of that equation

slega [8]2 years ago

6 0

Answer:

y-1=2/3(x-3)

y-1=2/3x-2

+1 both sides

y=2/3x-1

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2) The sum of the measures of angle X and angle Y is 90. If the measure of angle X is 30 less than twice the measure of angle Y,

kumpel [21]

<span>2) The answer is C. 50.

In order to solve this you need to represent the measure of x in terms of y. Since x is 30 less than twice as big as y, we can express it using the following: 2y - 30.

Now we can add that to y and set equal to 90 to solve.
2y - 30 + y = 90
3y - 30 = 90
3y = 120
y = 40.

Now knowing that y = 40, we know that x = 50, since they add up to 90.

3) They sold 62 large cupcakes.

This can be found by setting up a system of equations.

The first equation should represent the number sold totally. x + y = 105, where x is equal to the number of large cupcakes and y is equal to the number of small cupcakes.

The second equation should be equal to the amount of money made. 1.25x + .75y = 109.75.

Now to solve this system, you need to multiply the first equation by -1.25. This will give us a new equation of -1.25x - 1.25y = -131.25.

Now if you add the new equation to the second equation, the x values will cancel, giving you the following: -.5y = -21.5 or y = 43.

We can then determine the number of large cupcakes (x) by subtracting our y value from the 105 total, leaving us with 62.

4) The answer for this question is none of your possible answers. The y value should be 25 (the x-value though should be 15, which is the A answer).

We can find this by solving the second equation for x.
x + 2y = 65
x = -2y + 65.

Now that we have a value for x, we can sub it into the first equation in place of x and solve for y.
2x + 3y = 105
2(-2y + 65) + 3y = 105
-4y + 130 + 3y = 105
-y + 130 = 105
-y = -25
y = 25. </span>

3 0

2 years ago

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Division as fractions

lianna [129]

Answer:

what this isnt a question plz fix this then I'll anwser

8 0

2 years ago

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In a right triangle, the hypotenuse has endpoints P(–3, 2) and Q(1, –3). On a coordinate plane, line P Q has points (negative 3,

mrs_skeptik [129]

Answer:

The length of PR is 5 units

Step-by-step explanation:

Here, we want to calculate the length of PR

Since PQ is the hypotenuse, it means that the right-angle would be between lines PR and RQ

Also, since R is on the third quadrant, then its coordinates are (-x,-y)

To get the coordinates of R since we know that we need a right angle, we drop a straight vertical line through P and a straight horizontal line through Q

What this mean is that the coordinates of R will take the x-coordinate of the point P and the y-coordinate of the point Q

Hence, we have that the coordinates of the point R is (-3,-3)

Now, we want to calculate the length of PR

PR will be the distance between the points P and R

Mathematically, to get this, we use the distance formula

That will be;

√(y2-y1)^2 + (x2-x1)^2

Thus, we have

√(2-(-3)^2 + (-3-(-3))^2

= √5^2 + 0^2

= √25 = 5 units

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2 years ago

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What is a solution to the system of equation <br> 3x-4y=22<br> -9x+4y=38

sergejj [24]

(-10,-13) is the answer

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2 years ago

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Write slope-intercept form an equation of the line passes through (-1,-1), (1,5)

kherson [118]

Knowing that slope-intercept form is y=mx+b. mx being the slope and b being the y-intercept.

First, you will first find the slope, which is (y2-y1)/(x2-x1):
5-(-1) / 1-(-1) = Which becomes 6/2.
6/2 = 3. So the slope is 3x

Now when you plot the dots on a graph with a slope of 3 (basically 3/1 knowing that slope is rise over run) you will see that the point that intercepts on the y-axis is 2. So your y-intercept, or b in this equation, is 2.

I believe the slope-intercept form: y=3x+2

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2 years ago