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2 years ago

Write an equation for each line. m=-5 and the y -intercept is (0,-7) .

Mathematics

1 answer:

Veronika [31]2 years ago

6 0

The equation of the line for given values is y = -5x - 7.

<h3>Given a point and a slope, how do you build an equation for a line?</h3>

When you know the slope of the line to be investigated and the provided point is also the y intercept, you may utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

The standard equation of straight line is y = mx + c.

Given m = -5 and y - intercept is -7

So, the equation of the line becomes y = -5x - 7

To learn more about equation of the line from given link

brainly.com/question/18831322

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Rewrite the fraction as a decimal -19/50

Mama L [17]

Rewrite the fraction as a decimal
-19/50 = -0.38

8 0

3 years ago

Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

3 0

3 years ago

What is the mean of a set of numbers {-11,22,-2,-3}

Ulleksa [173]

I think the answer is 1.5?

3 0

3 years ago

Please please please help if you can!<br> Thank you!!

asambeis [7]

Answer:

There are 16 rows of seats in the auditorium.

Step-by-step explanation:

Jose is correct in writing out 416 = 2x² - 6x.

Rewriting this in descending order by powers of x, we get:

2x² - 6x - 416 = 0

Dividing all four terms by 2 simplifies this equation to x² - 3x - 208 = 0. This equation, in turn, factors to (x + 13)(x - 16) = 0. The only reasonable answer is x = 16. Jose's solutions are incorrect.

There are 16 rows of seats in the auditorium.

The number of seats per row is 416/16, or 26.

8 0

3 years ago

Find the value of angle x , angle y, and angle z in figure.

Lynna [10]

$\bf \underline{★ Solution-} \\$

In the given figure, we are given with two lines which are parallel to each other. We are also given with two lines which forms a triangle and also forms as a transversal lines to the parallel lines. We are also given that the given triangle is an isosceles triangle. So, we can say that the other angle in the triangle also measures 75°.

Now, let's find the value of the ∠x.

We know that the alternate angles in the parallel line always measures the same as the one which is in it's alternate side. So,

$\sf \leadsto \angle{x} = {75}^{\circ}$

Now, let's find the value of the ∠z.

We know that, all the angles in a triangle always adds up to 180°. In the given triangle, we are given with two angles, so we can easily find the third angle.

$\sf \leadsto {75}^{\circ} + {75}^{\circ} + \angle{z} = {180}^{\circ}$

$\sf \leadsto {150}^{\circ} + \angle{z} = {180}^{\circ}$

$\sf \leadsto \angle{z} = 180 - 150$

$\sf \leadsto \angle{z} = {30}^{\circ}$

Now, let's find the value of the ∠y.

We know that all the angles that forms a straight line always equals up to 180° (or) the the straight line angle always measures 180°. So, we can find the value of the ∠y by this concept.

$\sf \leadsto {75}^{\circ} + {30}^{\circ} + \angle{y} = {180}^{\circ}$