Line p contains points A(–7, –9) and B(4, 0). Line q is parallel to line p. Line r is perpendicular to line q. What is the
slope of line r? Explain.

Answer:

(Really really really sorry if this incorrect)... ok so it's 17 cm tall in length. That would be 17 blocks high, for example. The area is 102, so 102 cm2 divided in half equals 51, so the width would be 51 cm. So the perimeter is 17 + 17 + 51 + 51 = 136 cm.

Answer:

The correct answer is B. Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations"

Step-by-step explanation:

101/4 = 25.25

 so 25 numbers are divisible by 4

101/8 = 12.625

so 12 numbers are divisible by 8

25-12 =13

 so 13 numbers are divisible by 4 but not by 8

Answer:

D

Step-by-step explanation:

2020 2021

Equation of the parabola whose vertex is the origin and whose directrix is x=-4 is x=0.

A parabola is a curve where any point is at an equal distance from: a fixed point (the focus ), and; a fixed straight line (the directrix )

As we have vertex at the origin i.e. (0,0) and directrix is x=-4 and a line parallel to y-axis,

it must have a focus at (4,0)

Equation of the parabola represents locus of a point (x, y), which moves so that its distance from x=-4 to (4,0) are equal.

Hence, equation of parabola is

(x-4)²+(y-0)²=(x+4)²

(x-4)²+y²=(x+4)²

x²+16-8x=x²+16+8x

-16x=0

x=0

Hence,  equation of the parabola whose vertex is the origin and whose directrix is x=-4 is x=0.

To learn more on Parabola click:

https://brainly.com/question/21685473

#SPJ2

The slope of this scenario is 745. The slope represents the profit made each month.

Option first is the answer.

Step-by-step explanation:

For finding the are of a right angle triangle, we use the base and the height of the triangle. The height is the right angle leg of the triangle. Hypotenuse is not considered here.

In the given diagram, the base or 'b' is = 10 units

And the height or 'h' is = 24 units

Area of a right triangle is given as :

[tex]A=\frac{bh}{2}[/tex]

So, in the given options the correct option is : Option first.

[tex]A= \frac{10*24}{2 }[/tex] or [tex]\frac{1}{2}(10*24)[/tex]

The expression is d) [tex]9 \sqrt{6}[/tex]

To simplify the given expressions involving square roots, follow these steps:

a. Square root 6

Since 6 is not a perfect square and has no perfect square factors, [tex]\sqrt{6} i[/tex]s already in its simplest form.

b. Square root 12

Break down 12 into its prime factors: 12 = [tex]2 \times 2 \times 3[/tex]. Therefore,[tex]\sqrt{12}[/tex]can be simplified as follows:

[tex]\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}[/tex]

c. 9 square root 12

We already know that [tex]\sqrt{12} = 2\sqrt{3},[/tex] so we substitute it into the expression:

[tex]9 \sqrt{12} = 9 \times 2\sqrt{3} = 18\sqrt{3}[/tex]

d. 9 square root 6

Since [tex]\sqrt{6[/tex]} is already in its simplest form, the expression remains:

[tex]9 \sqrt{6}[/tex]

the graph is showing for every 1 hour the boat is 50 miles further away

 so the speed of the boat is 50 miles per hour

The speed of the boat is 50 miles per hour.

We have given that,

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours

A graph titled Distance Vs Time is shown with Time in hours labeled on the x-axis and Distance from Island in miles labeled on the y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y-axis shows the numbers 0, 25, 50, 75, 100, 125, 150, 175, 200, 225. The graph shows a straight line joining the ordered pairs 0, 25, and 1, 75, and 2, 125, and 3, 175, and 4,225.

We have to determine the speed of the motorboat.

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time it is thus a scalar quantity.

The graph is showing for every 1 hour the boat is 50 miles further away

1hour=50 miles   from the graph

So the speed of the boat is 50 miles per hour.

To learn more about the speed visit:

https://brainly.com/question/6504879

#SPJ2

The correct answer is x = 5.

Trust me, I just did the quiz.

The long-distance runner will take 3 hours to run 27 miles.

In simple terms, the unitary method is used to find the price of a single unit from a given multiple.

Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

You divide 27 miles by 9 miles per hour, getting 27/9 (miles/(miles))hour.

The units cancel out to make hours

This runner takes 1 hr to run 9 miles.

So, to run 27 miles the runner will take

= 27/9

= 3 hours.

learn more about Unitary method here;

brainly.com/question/23423168

#SPJ2

Answer:  The required probability is 0.10.

Step-by-step explanation:  Given that Marla is looking for a new car. She has test-driven two cars A and B but can only purchase one.

We are to find the probability  that she will not purchase either car A or car B.

Let, 'C' denotes the event that Marla will purchase car A and 'D' denotes the event that Marla will purchase car 'B'.

Then, according to the given information, we have

[tex]P(A)=0.52,~~~P(B)=0.38.[/tex]

Since Marla cannot purchase both the cars, so the events A and B are disjoint.

That is,

[tex]A\cap B=\phi~~~~~\Rightarrow P(A\cap B)=0.[/tex]

Therefore, the probability that Marla will purchase either car A or car B is given by

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.52+0.38-0=0.90.[/tex]

Hence, the probability that she will not purchase either car A or car B will be

[tex]P^\prime(A\cup B)=1-P(A\cup B)=0-0.90=0.10.[/tex]

Thus, the required probability is 0.10.

13/24 = 0.5416666

 since 6 keeps repeating that would be the number that has the line over it.

Final answer:

The solutions to the equation 2 cos θ + 2 = 3 in the interval from 0 to 2π are θ = π/3 and θ = 5π/3, which approximate to 60 degrees and 300 degrees.

Explanation:

The equation given is 2 cos θ + 2 = 3. To solve this equation, first subtract 2 from both sides to get 2 cos θ = 1. Then, divide both sides of the equation by 2 to isolate cos θ, yielding cos θ = 0.5.

In the interval from 0 to 2π (0 to 360 degrees), cos θ = 0.5 occurs at θ = π/3 and θ = 5π/3 (60 degrees and 300 degrees), as these are the angles in the first and fourth quadrants where the cosine value is positive and equal to 0.5.

Therefore, the solutions to the equation are θ = π/3 (θ ≈ 1.05 radians) and θ = 5π/3 (θ ≈ 5.24 radians), or θ ≈ 60 degrees (θ ≈ 1.05) and θ ≈ 300 degrees (θ ≈ 5.24) when rounded to the nearest hundredth of a radian.

Based on the mean score and the confidence interval, the sample size required to estimate the mean score is 77.

This can be found as:

= (Z score for 99% interval² x Sample size²) / Points off the true mean ²

Solving gives:

= (2.576² x 17²) / 5²

= 76.7

= 77

Find out more on the Z score at https://brainly.com/question/25638875.

Final answer:

The probability that at least one of four randomly distributed letters ends up in its correct envelope is 62.5%. This calculation uses the complementary approach, subtracting the probability of no matches (9/24) from 1.

Explanation:

The question asks about the probability that at least one letter ends up in its accompanying envelope when four letters are randomly put into four envelopes.

To solve this, we employ the principle of complementary probability, which suggests that the probability of at least one match is 1 minus the probability of no letters matching their envelopes.

Calculating the probability of no matches directly can be complex due to numerous possible permutations, so using the complementary approach is more efficient.

We can calculate the total permutations of the four letters being distributed into four envelopes as 4!, which equals 24.

To find the probability of no letters matching their envelopes (a derangement of 4 items), we use a specific formula or recognition of known patterns, resulting in 9 derangements. Thus, the probability of no matches is 9/24.

The probability of at least one letter matching its corresponding envelope is then 1 - (9/24), which simplifies to 15/24 or 5/8. Therefore, the probability is 0.625 or 62.5%.

Answer:

A = 7x - 6

Step-by-step explanation:

The options aren't very clear, but the answer would be (assume that A is Arby's age):

A = 7x - 6

Answer:

A

Step-by-step explanation:

Answer:

D f(x) = 3x + 1

Step-by-step explanation:

Answer:

The two linear equation are

1. 3 x + 5 y =2

2. 6 x + 10 y = 8

If you will multiply equation (1), by number ,2 you will get

6 x + 10 y=4

or, if you will divide equation 2,by 2 you will get ,line

2 × (3 x + 5 y)=2 × 4

3 x + 5 y=4

→Slope of line 1

[tex]=\frac{-3}{5}[/tex]

→Slope of line 2

[tex]=\frac{-6}{10}=\frac{-3}{5}[/tex]

→→Slope of two lines are equal , so they are parallel.

Parallel lines never intersect. So,there is no solution.

Option A: 0