Find the equation of the line with slope m=−5/3 that contains the point (9,−15).

Answer: Answer on the bottom below

Step-by-step explanation: And p.s this is worth 18 points because it needed to divide the points in two.- Have a brilliant day mate ^_^

Answer:

\(y=\frac{3}{4}x+\frac{11}{2}\)

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (-2, 4) and (2, 7).

The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

First, let's find the slope of the line.

The slope, calculated from two points is given as the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points.

We have two points, which is needed to find the slope, but let's label their values to avoid confusion.

\(x_1=-2\\y_1=4\\x_2=2\\y_2=7\)

Now substitute those values into the formula.

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{7-4}{2--2}\)

Simplify

m=\(\frac{7-4}{2+2}\)

m=\(\frac{3}{4}\)

So the slope of the line is \(\frac{3}{4}\).

Substitute that value as m in y=mx+b

y=\(\frac{3}{4}x+b\)

Now we need to find b

As the equation passes through both (-2, 4) and (2, 7), we can substitute the values of either one of them in the equation to solve for b

Taking (-2, 4) for example,

Substitute -2 as x and 4 as y:

4=\(\frac{3}{4}(-2)+b\)

Multiply

4=\(-\frac{3}{2}\)+b

Add -3/2 to both sides

\(\frac{11}{2} = b\)

Substitute that value into the equation

y=\(\frac{3}{4}x+\frac{11}{2}\)

Hope this helps!

Answer:

Cumulative Frequency:

The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.

The sum of relative frequencies is also equal to one, since the sum of all fractional parts must equal the whole.

Step-by-step explanation:

True. It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.

We have,

Statistical significance is determined by the p-value, which measures the probability of obtaining the observed results if the null hypothesis (no difference between groups) is true.

A small treatment effect may still produce a low p-value if the sample size is large enough to detect even small differences.

However, the clinical significance of the treatment effect should also be considered in addition to statistical significance.

Thus,

It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.

Learn more about statistical significance here:

https://brainly.com/question/29663617

#SPJ11

Using proportions, some equivalent measurements are given as follows:

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.

Each meter has 100 centimeters, hence:

1 centimeter - 0.01 meters.

Each hour has 60 minutes, hence:

Each feet has 12 inches, hence:

3 and 1/3 feet - 40 inches.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

Answer:

-5 and -2

Step-by-step explanation:

Answer:

I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function

Step-by-step explanation:

Answer: B

Step-by-step explanation:

LJ should corresponds with RQ but it should correspond with PR.

Answer:

B

Segment LJ and Segment RQ

Step-by-step explanation:

look at the congruence statement

JKL≅PQR

as you can see, they do not correspond with one another

and all the other statements are pairs or congruent/corresponding parts

Answer:

y = 6x

Step-by-step explanation:

Each value of x is multiplied by 6 to get the corresponding y value

Answer:

In 1 at place the image is possible

Answer:

3x+2+6x+5x

Step-by-step explanation:

perimeter of triangle = side 1 + side 2 + side 3

expression of the perimeter of triangle 3x+2+6x+5x

perimeter of traingle = 14x + 6

The expression 14x + 2 represents the perimeter of the triangle in terms of "x."

To find an expression that represents the perimeter of a triangle.

The perimeter is the sum of all three sides of the triangle. We have three sides with different lengths given by the expressions 3x + 2, 6x, and 5x. To find the expression representing the perimeter, we just need to add these three sides together.

Let's represent the sides as follows:

- The first side of the triangle is denoted as "a," which has a length of 3x + 2.

- The second side is denoted as "b," with a length of 6x.

- The third side is denoted as "c," having a length of 5x.

Now, let's find the expression for the perimeter, which we'll call "P." To do that, we add the three sides together:

P = a + b + c

Substitute the given expressions for the sides into the equation:

P = (3x + 2) + (6x) + (5x)

Now, let's simplify the expression by combining like terms (terms with the same variable "x"):

P = 3x + 2 + 6x + 5x

To further simplify, add the coefficients of the "x" terms:

P = (3 + 6 + 5)x + 2

Now, add the coefficients: 3 + 6 + 5 = 14, so the expression for the perimeter becomes:

P = 14x + 2

The expression 14x + 2 represents the perimeter of the triangle in terms of "x."

To know more about Perimeter here

https://brainly.com/question/11957642

#SPJ2

we have the system

y + z = 6 ------> equation P

5y + 9z = 1 -----> equation Q

i will solve by elimination

step 1

Multiply the equation P by -5

so

(y + z = 6) *-5

-5y-5z=-30

adds equation Q

-5y-5z=-30

5y + 9z = 1

------------------

5z+9z=-30+1

therefore

Answer: 12

Step-by-step explanation: c = √a2 + b2

= √(6)2 + (10)2

= √36 + 100

= √136

= 2√34

= 11.661903789691

Round up

12

The length of the slide has a height of 6 feet and the base of 10 feet would be equal to the nearest whole number 12 feet.

The ratio of the height of the slide and the distance from the base of the ladder to the front of the slide is 3 : 5.

The height of the slide is 6 feet.

The base of the ladder is 10 feet.

The Pythagoras is the sum of the square of two sides which is equal to the square of the longest side.

From the Pythagoras Theorem,

\(\rm a^{2} =b^{2} +c^{2} \\\rm a^{2} =10^{2} +6^{2} \\\rm a^{2} =100+36\\\rm a = \sqrt{136} \\\rm a = 11.6619\\\rm a=12\)

By round off up to nearest whole number. The length of the slide would be 12 feet.

Learn more about the Pythagoras Theorem here:

https://brainly.com/question/343682

a) The line integral over C is:

∫C F dr = ∫r1 F dr + ∫r2 F dr = 2/5 + 1 = 7/5.

b) The potential function at (-1,1) and (1,1) yields:

∫C F dr = f(1,1) - f(-1,1) = 2.

Parametrize the first segment of C from (-1,1) to (0,0) as r1(t) = (-1+t, 1-t) for 0 ≤ t ≤ 1.

Then the line integral over this segment is:

\(\int r1 F dr = \int_0^1 F(r1(t)) \times r1'(t) dt\)

=\(\int_0^1 (3(-1+t)^2(1-t)^2, -2(-1+t)^3(1-t)) \times (1,-1)\) dt

=\(\int_0^1 [6(t-1)^2(t^2-t+1)]\)dt

= 2/5

Similarly, parametrize the second segment of C from (0,0) to (1,1) as r2(t) = (t,t) for 0 ≤ t ≤ 1.

Then the line integral over this segment is:

∫r2 F dr = \(\int_0^1 F(r2(t)) \times r2'(t)\) dt

= \(\int_0^1(3t^4, 2t^3) \times (1,1) dt\)

= \(\int_0^1 [5t^4] dt\)

= 1

The line integral over C is:

∫C F dr = ∫r1 F dr + ∫r2 F dr = 2/5 + 1 = 7/5.

Let f(x,y) = \(x^3 y^2\).

Then the gradient of f is:

∇f = ⟨∂f/∂x, ∂f/∂y⟩ = \((3x^2 y^2, 2x^3 y)\).

∇f = F, so F is a conservative vector field and the line integral over any path from (-1,1) to (1,1) is simply the difference in the potential function values at the endpoints.

Evaluating the potential function at (-1,1) and (1,1) yields:

f(1,1) - f(-1,1)

= \((1)^3 (1)^2 - (-1)^3 (1)^2\) = 2

∫C F dr = f(1,1) - f(-1,1) = 2.

For similar questions on line integral

https://brainly.com/question/28381095

#SPJ11

Answer:

If a researcher cannot gain access to a target population, snowball sampling procedures can assist in locating subjects. In regard to sampling procedures, if a researcher wants to be able to generalize results to the total population of interest, then a purposeful sampling technique is the best approach.

Answer:

Non-probability sampling

Step-by-step explanation:

Non-probability sampling is a method of selecting units from a population using a subjective  method.

Answer: 1440mL

Step-by-step explanation: none

A balloon is inflated such as its radius is 7.00 cm.  The volume of air inside the balloon is 1436.76 mL.

A ballon is a nylon material that can be inflated with a gaseous air substance. When inflated with air substance, it usually takes a spherical shape.

The volume of a sphere is:

\(\mathbf{= \dfrac{4}{3}\pi r^3}\)

where;

∴

\(\mathbf{= \dfrac{4}{3}\pi \times (7.00)^3}\)

= 1436.76 cm³

Since 1 cm³ = 1 mL

Thus;

Therefore, we can conclude that the volume of air inside the balloon is:

= 1436.76 mL

Learn more about the volume of a sphere here:

https://brainly.com/question/9994313?referrer=searchResults

Using the normal distribution, the value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is:

z = -0.52.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is is the 30th percentile, which is Z with a p-value of -0.3, hence z = -0.52.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Nearest thousanth-.063

Nearest Hundranth-.06

Nearest Tenth-.1

Nearest whole-0

Answer: 20

Step-by-step explanation:

17 is closest to 20 :)

(sorry if this is wrong)

the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane

the bottom of the ball as its reference point, the y-axis along a vertical line, and the positive direction as pointing upward can be calculated as follows:The y-coordinate of the ball = (y-coordinate of the center of the ball) - (the radius of the ball)As per the given problem, the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane.Hence, the y-coordinate of the ball = 0 - 2= -2Therefore, the y-coordinate of the ball is -2.

learn more about rests here;

https://brainly.com/question/29132935

#SPJ11

Answer:

i dont know honestly

Step-by-step explanation:

Answer:

m<E = 1/2 ( WP - KA )

m<E = 1/2 ( 162 -56 )

m<E = 1/2 (106)

m<E = 53

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

Answer: 16y^{10}x^6

Step-by-step explanation: simplified version

Answer:

Step-by-step explanation:

To find the total amount of time Matthew spent cleaning the kitchen and helping with the laundry, we need to add the two times together. However, the times are given in different formats (1/3 hour and 1 1/2 hours), so we need to convert them to a common format first.

To convert 1 1/2 hours to a fraction, we can multiply the whole number (1) by the denominator of the fraction (2) and then add the numerator (1). This gives us:

1 1/2 = (1 × 2 + 1)/2 = 3/2

So Matthew spent 1/3 hour cleaning the kitchen and 3/2 hours helping with the laundry. Adding these two times together, we get:

1/3 + 3/2 = 2/6 + 9/6 = 11/6

So Matthew spent 11/6 hours cleaning and doing laundry. We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 1:

11/6 = 1 5/6

Therefore, Matthew spent 1 hour and 5/6 of an hour (or 1 hour and 50 minutes) cleaning and doing laundry.

Answer:

Step-by-step explanation: