All categories

2 years ago

Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5

Mathematics

1 answer:

Anna35 [415]2 years ago

5 0

Answer:

y= -5x +24

Step-by-step explanation:

<u>Slope-intercept form</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -5, m= -5.

Substitute m= -5 into the equation:

y= -5x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation:

When x= 3, y= 9,

9= -5(3) +c

9= -15 +c

c= 9 +15

c= 24

Thus, the equation of the line is y= -5x +24.

You might be interested in

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl

Alenkinab [10]

The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

<h3>What is Supplementary angle?</h3>

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

The exterior angle at angle 5 is angle 6.

We know that the sum of interior and exterior angle of the triangle is 180 degrees.

∠1 + ∠2 = 180°

∠3 + ∠4 = 180°

∠5 + ∠6 = 180°

Then the correct option is C.

More about the Supplementary angle link is given below.

brainly.com/question/15767203

#SPJ1

3 0

1 year ago

To make 3/4 pound of mixed nuts, how many pounds of cashews would you add to 1/8 pound of almonds and 1/4 pound of peanuts?

Anna11 [10]

you will need 3/8 pounds of peanut.

3/8 + 1/4 + 1/8= 3/4

(ask me if you are confuse plz)

7 0

2 years ago

Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays

Genrish500 [490]

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

$\mu = 65 - 70 = -5$

The standard deviation is the square root of the sum of the variances. So

$\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81$

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0 - (-5)}{7.81}$

$Z = 0.64$

$Z = 0.64$ has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

4 0

2 years ago

Jacob drove 8 miles east and then 15 miles north. how far is he from his starting point

Ilya [14]

Answer:

he is 23 miles northeast from this starting spot

Step-by-step explanation:

ok so you start with the directions and notice they are different but this equation worked in our favor because the directions are north and east then all you do is add 8 + 15 and you get 23 so its 23 miles northeast from starting position

8 0

2 years ago

345 in standard form

steposvetlana [31]

345 in Standard Form is 3.45 x 10^2

This is because when in standard form the decimal should move to the right 2 times.

5 0

3 years ago