Answer the following questions using what you've learned from this unit. Write your responses
in the space provided.
1. Use the slope formula to answer Parts I, II, and III.
Part I: Find the slope of the line that passes through the following points. (6 points; 2 points
each)
A (10,4) and B (-2 , -5) C (-7 ,1) and D (7, 8)

Answers

Answer 1

Answer:

Part a) The slope of line that passes through the points A (10,4) and B (-2 , -5) is [tex]\mathbf{Slope=\frac{3}{4} }[/tex]

Part b) The slope of line that passes through the points C (-7 ,1) and D (7, 8) is [tex]\mathbf{Slope=\frac{1}{2} }[/tex]

Step-by-step explanation:

Part I: Find the slope of the line that passes through the following points.

Part a)

A (10,4) and B (-2 , -5)

We need to find slope of the line that passes through the given points.

The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can take any two points and the slope will be same.

I am taking points A (10,4) and B (-2 , -5)  and finding slope

We have [tex]x_1=10, y_1=4, x_2=-2,y_2=-5[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-5-4}{-2-10} \\Slope=\frac{-9}{-12}\\ Slope=\frac{3}{4}[/tex]

So, the slope of line that passes through the points A (10,4) and B (-2 , -5) is [tex]\mathbf{Slope=\frac{3}{4} }[/tex]

Part a)

C (-7 ,1) and D (7, 8)

We need to find slope of the line that passes through the given points.

The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can take any two points and the slope will be same.

I am taking points C (-7 ,1) and D (7, 8)  and finding slope

We have [tex]x_1=-7, y_1=1, x_2=7,y_2=8[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-1}{7-(-7)} \\Slope=\frac{7}{14}\\ Slope=\frac{1}{2}[/tex]

So, the slope of line that passes through the points C (-7 ,1) and D (7, 8) is [tex]\mathbf{Slope=\frac{1}{2} }[/tex]


Related Questions

y = 3x + 5, x = -4 / So, what would the y equal ?

Answers

Answer:y=4x+1

Step-by-step explanation: ok you are going to take your -4 over which it goes under 5 which 5-4 is 1 then your ad your x's which is 4x

Answer:

y = -12x + 5

................

please help brainliest for correct answer

Answers

Answer: i think its a or d

Step-by-step explanation:hope

i helped

A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).   The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed? (__,__)​

Answers

Answer:

The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)

Step-by-step explanation:

To find the centroid of a triangle, use this rule centroid = ([tex]\frac{x1+x2+x3}{3},\frac{y1+y2+y3}{3}[/tex]), where (x1, y1), (x2, y2), (x3, y3) are the vertices of the triangle

∵ The vertices of the triangle are (1, 1), (1, 4), (-3, 4)

∴ x1 = 1 and y1 = 1

∴ x2 = 1 and y2 = 4

∴ x3 = -3 and y3 = 4

→ Substitute them in the rule above

∵ Centroid = ([tex]\frac{1+1+-3}{3},\frac{1+4+4}{3}[/tex])

∴ Centroid = ([tex]\frac{-1}{3},\frac{9}{3}[/tex])

∴ Centroid = ([tex]-\frac{1}{3}[/tex] , 3)

The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)

how do you graph y=47x

Answers

Answer:

Start at the origin, then graph the point (1, 47) and connect the line.

Step-by-step explanation:

Slope: 47

y-intercept: 0

2 Classify the triangle by its sides. The diagram is not to scale. A straight B equilateral C scalene D isosceles (sides are 8,6,6)

Answers

Answer:

D) Isosceles

Step-by-step explanation:

An isosceles triangle is the triangle that has 2 sides that are the same.

A cylinder has a radius of 7 inches and a height of 20 inches. What is the closet to the surface area of this
cylinder?

Answers

Answer:  sorry im useless in geometry

Step-by-step explanation:

Solve: 7 -2x= 2(x - 4) - 1

Answers

Answer:

the answer is four

Step-by-step explanation:

you distribute the 2 to the numbers in the parenthesis


Two boats start their journey from the same point A and travel along directions AC and AD, as shown below

What is the đistance, CD, between the boats? (5 points)
461.9 ft
530.9 ft
646.4 ft
325.5 ft

Answers

Answer:

a

Step-by-step explanation:

Find BD

Remember soh-cah-toa?

opposite/adjacent

tan30=400/x

xtan30=400

x = 400/tan30

Find BC

Still toa. . . still toa

90 + 60 = 150

180-150 = 30

BAC = 30

tan30=x/400

400tan30=x

BD-BC=CD

If you followed my steps, your answer should come to you.

If you didn't and are a lazy pr*ck who relies on others to do their semester exam problems for them, the answer is A.  Or 461.

What is (-3x2 - 6x - 8) - (4x2 + 5) simplified?

Answers

Step-by-step explanation:

i got 9x-9

hope this helps broo

-7x^2-6x-13


This is the answer

2. (04.02 LC)
Which of the following describes how to read the decimal number 0.92? (2 points)
ninety-two thousandths
ninety-two
ninety-two hundredths
twenty-nine hundredths

Answers

I think ninety-two hundredths

3x-5y=22: y=-5x+32 solve for y

Answers

Y=0.6-4.4 is what I got

everything is above

Answers

Answer:

Option B

Step-by-step explanation:

8 - 2x < 18

Subtract 8 from both sides;

-2x < 10

Divide both sides by -2

x > -5

Answer:

X > -5

it would be B.

open circle on -5 and the arrow point on the right. Because x can be any number greater than -5.

Step-by-step explanation:

8 - 2x < 18

- 2x < 18 - 8

-2x < 10

x > 10/-2

x > -5

WILL GIVE BRAINLIEST!
If Triangle ABC ≈ Triangle DBE, find the value of x.

Answers

Answer:

x = 49

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

∠CBA = ∠EBD (Vertically opposite angles are equal)

          = 52°

Since in the triangle DBE, you already know two of the angles, you can find ∠BDE which is equal to ∠CAB (x + 9)°.

∠BDE = 180° - 70° - 52°

          = 58°

∠BDE = ∠CAB

          = ∠(x + 9)°

          = 58°

x + 9 = 58

x = 58 - 9

x = 49

PLEASE HELPP I REALLY NEED TO GET THESE RIGHTT ILL GIVE BRAINLIEST (MORE ON MY PAGE PLS IF U CAN HELP) ;]

Answers

Answer:

f(x) = x + 8

Step-by-step explanation:

This is a 1 by 1 simple reason.

Answer:f(x)=x+8

Step-by-step explanation:

What us the answer?​

Answers

Answer:

The graph so C

Step-by-step explanation:

Cause u can’t get two or more x values for different for one y value( if u plug in 3 and u get 5, u can’t plug in 3 again and get 10)

Walk 3 miles Per hour to school which is 1.5 miles away

Answers

Answer:

Well if your going 3miles per hour and it 1.5 hours than it would take about...half an hour 30mins

Step-by-step explanation:

16 points, Brainllest, a heart, and stars! First place gets brainllest, five stars and a heart! Second place gets 4 stars and a heart! (You only get it if you get it right )!

Write the percent as a fraction in simplest form and as a decimal. 16.24%
The fraction is
The decimal is

Answers

Answer:

Umm ty!

Step-by-step explanation:

Answer:

Fraction is: 203/1250

Decimal is: 0.1624

Step-by-step explanation:

Thank you for the points! Please mark this as brainliest! :)

What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?

Answers

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = 3 → (1)

x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by subtracting x from both sides

y = 3 - x → (3)

Substitute y = 3 - x into (1)

2x - (3 - x) = 3

2x - 3 + x = 3

3x - 3 = 3 ( add 3 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

substitute x = 2 into (3) for corresponding value of y

y = 3 - 2 = 1

Solution is (2, 1 )

TRULY IN NEED OF HELP PLEASEE

Answers

Answer:

no lo se, sol necesitaba puntos

Step-by-step explanation:

Answer:
x=10
y=7.5
CE = 6
BD=4.5

Explanation:
Use similar triangles. Since you know one side length of the larger triangle, divide it by the hypotenuse of the smaller triangle to get the factor you are multiplying you side lengths by.

12.5 / 5
= 2.5

Multiply every other side length by 2.5

4 x 2.5 = 10
x = 10

3 x 2.5 = 7.5
y = 7.5

To get CE and BD subtract your values:

CE = 10 - 4
CE = 6

BD = 7.5 - 3
BD = 4.5


Keiko wants to build a new machine that will undo
what f(x) does to an input. What must Keiko's
machine do to 17 to undo f(x) and return a value of 3

Answers

Answer:

23232

Step-by-step explanation:

5432463+3432=333

find the value of y^2 when y= -2

Answers

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

y = -2

Step 2: Evaluate

Substitute in y:                    (-2)²Exponents:                          4

A triangle has sides with lengths of 7 yards, 12 yards, and 13 yards. Is it a right triangle?​

Answers

Answer:

yh

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

We use the Pythagorean theorem.

a^2 + b^2 = c^2

7^2 + 12^2 = 49 + 144 = 193

13^2 = 169

Since 193 is not equal to 169, the triangle is not a right triangle.

help me with this please​

Answers

Answer:

30-40

Step-by-step explanation:

because on the graph thats where they cross.

Kyle has 27 black marbles and 18 red marbles in
a box. What is the ratio of the number of black
marbles to the number of red marbles in the box?
A.
1 to 3 B. 2 to 3 C 3 to 2 D. 9 to 1

Answers

Answer: C, 3 to 2

Step-by-step explanation:

The highest common multiple of the 2 numbers is 9, 27 divided by 9 is 3, 18 divided by 9 is 2.

Dina can run 4 miles in 30 minutes. If she maintains this pace, how many miles can she run in 90 minutes?

Answers

4/30 miles per minute
90 * (4/30) = 12
She can run 12 miles

Answer:

Dina can run 12 miles in 90 minutes

Step-by-step explanation:

Since its 4 miles every 30 minutes, you would multiply 4 by 3 (since 30 x 3 = 90)

Hope this helped!

PLEASE HELP!! WILL MARK BRAINLIEST / 30 POINTS

Answers

Answer:

i want the points sorry

Step-by-step explanation:

Veronica copies her uncle's address and phone number into her contact list. His area code is 775. His ZIP code is 89507. Which statement about the value of the 5 in 775 and 89,507 is true? * 5 points It is the same in both numbers It is 10 times as great in the ZIP code than it is in the area code It is 100 times as great in the ZIP code than it is in the area code It is 10 times as great in the area code than it is in the ZIP code

Answers

Answer:It is 100 times as great in the ZIP code than it is in the area code

Step-by-step explanation:

step 1

Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500

Veronica 's uncle Area code= 775 = The value of 5 here  represents 5 units--5

it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code

Step 2:

Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.

pleaseeee help pleaseee

Answers

Step-by-step explanation:

you can do it using the formula of ratio

Answer:

large dogs = 32

Step-by-step explanation:

small dogs to large dogs = 4: 3

total ratio = 7

large dogs = 4/7

total dogs = 56

large dogs = 4 x 56

                     7

large dogs = 32

i NEED HELP PLEASE hdhdhhdjdhdhd

Answers

Answer:

there was no question, but if your asking how much there shrinking by the top one comes first and the 2nd shrinks down to twice the size.

Step-by-step explanation:

Label each remaining tick mark with its value.

a
Adults: 0, 2, 6, 4, 8. Children: 0, 24, 76, 48, 96.
b
Adults: 0, 2, 3, 4, 8. Children: 0, 24, 48, 72, 96.
c
Adults: 0, 2, 4, 6, 8. Children: 0, 24, 48, 72, 96.
d
Adults: 0, 2, 4, 6, 8. Children: 0, 24, 12, 6, 96.

Answers

Answer:

d

Step-by-step explanation:

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