What is an
equation of the line that passes through the points (6, -7) and (4, -6)?

Answers

Answer 1

Answer:

The equation is y = [tex]\frac{-1}{2}[/tex] * x - 4

How to find the slope: [tex]\frac{Rise}{Run}[/tex] = [tex]\frac{-1}{2}[/tex] (since the rise is going down by 1 unit and the run is 2 units to the right)

How to find the y-intercept: You draw a line that go through the 2 points until it touches the y-axis and that is your y-intercept

Answer 2

Answer:

x+2y+8=0

Step-by-step explanation:

The equation of straight line passing through the given points

(x 1,y1) = (6,-7)

(X2,y2)=(4,-6)

is given by following formula

y-y1={(y2-y1)/(x2-x1)}×(x-x1)

y+7={(-6+7)/(4-6)}×(x-6)

y+7={1/(-2)}×(x-6)

-2y-14=x-6

0=x+2y-6+14

x+2y+8=0

This is the required equation for line passing through (6,-7) and (4,-6)


Related Questions

Fabios had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game.

Answers

Answer:

fabio=2(carlos)-7

31=2(x)-7

31-7=2x

24=2x

x=12

Step-by-step explanation:

How many eighth graders chose History as their favorite subject. Round answer to the nearest whole number.


19%


22%


27%


33%

Answers

The percentage of eighth-graders that chose History as their favorite subject is 19%

Percentages and proportion

From the given table, we have the following parameters

Total students in the 8th grade = 124 students

Total number of 8th graders that chose history = 11 + 12

Total number of 8th graders that chose history = 23

Required percentage = 23/124 * 100

Required percentage = 19%

Hence the percentage of eighth-graders that chose History as their favorite subject is 19%

Learn more on percentages here: https://brainly.com/question/24304697

Order he distance traveled from least to greatest
30 kph for 4 hours
5 kph for 10 hours
15 kph for 2 hours
35 kph for 1 hour

Answers

Answer:

15 for 2 = 30km

35 for 1 = 35km

5 for 10 = 50km

30 for 4 = 120km

Step-by-step explanation:

formula is

distance = speed x time

Normal Samantha is using ribbon to make bows to be sold at a school fundraiser. She has 83.2 meters of ribbon. She needs 1.28 meters of ribbon for each bow. How many bows she can make?

The answer would be 65
hope that helps :b

Answers

Answer:

83.2 meters ÷ 1.28 meters = 65 bows

given that €1 =£0.75
a how much is €530 in £
b £1 =€

Answers

Answer:

a) £397.50
b) £1 ≈ €1.33

Given:

€1 = £0.75
To find out:
a)

€530 = £0.75 × 530

€530 = £397.50

b)

Since £397.50 = €530:

£1 = €530 ÷ 397.5

£1 = €1.33333333333

£1 ≈ €1.33

7 5/10 - 2 2/11 estimate the difference. HELP.

Answers

Answer:

605/110

Step-by-step explanation:

75*11/110

-

22*10/110

=605/110

There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?

Answers

Answer:

1/3 x 3/11 = 3/33 or 0.09, or 9 percent

Step-by-step explanation:

Answer:

16/144

4/12 × 4/12 = 16/144

Can you help with my math work please

Answers

Answer:

A. pen 0.75, pencil 0.50

Step-by-step explanation:

there is 4 of each that means you have to multiply by 4so

0.75 × 4 = 3

0.50 × 4 = 2

add them up equal 5

Answer:

The correct option is A. Pen $0.75; pencil, $0.50


Maritar has a
triangluar garden 17% of it in plantel corrests, what
area is planted with carrots...

Answers

Answer:

WRONG SUBJECT

Step-by-step explanation:

YOU'RE QUESTIOON WAS DELETED FOR THE WRONG SUBJECT

Find the geometric mean of 4 and 49

Answers

The geometric mean of 4 and 49 is 14

Please find the perimeter and area of these shapes

Answers

Answer:

ABC shaded area = 36[tex]\pi[/tex] - 72   cm²

ABC shaded area perimeter = [tex]6\pi +12\sqrt{2}[/tex]    cm

ABCD area = [tex]\dfrac52 \pi[/tex]  cm²

ABCD perimeter = [tex]3\pi +2[/tex]   cm

Step-by-step explanation:

Shape ABC

Assuming you want the area and perimeter of the shaded part of the shape only...

Area

Area of a sector = [tex]\dfrac12r^2\theta[/tex] (where r is the radius and [tex]\theta[/tex]

⇒ area of a sector = [tex]\dfrac12 \times 12^2\times \dfrac{\pi}{2} =36\pi \ \textsf{cm}^2[/tex]

Area of triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 12 x 12 = 72 cm²

Therefore, area of shaded area = area of sector - area of triangle

⇒ area = 36[tex]\pi[/tex] - 72 cm²

Perimeter

Arc length = [tex]r\theta[/tex] (where r is the radius and [tex]\theta[/tex]

⇒ arc length = [tex]12\times\dfrac12\pi =6\pi \ \textsf{cm}[/tex]

Hypotenuse of triangle = [tex]\sqrt{a^2+b^2}[/tex] (where a and b are the legs of the right triangle)

⇒ hypotenuse = [tex]\sqrt{12^2+12^2} =12\sqrt{2}[/tex] cm

Therefore, perimeter = arc length + hypotenuse

⇒ perimeter = [tex]6\pi +12\sqrt{2}[/tex]  cm

Shape ABCD

Area

Area of a semicircle = [tex]\dfrac12 \pi r^2[/tex] (where r is the radius)

⇒ area of large semicircle ABC = [tex]\dfrac12 \times \pi \times 2^2=2\pi \ \textsf{cm}^2[/tex]

⇒ area of small semicircle AD = [tex]\dfrac12 \times \pi \times 1^2=\dfrac12\pi \ \textsf{cm}^2[/tex]

⇒ area of shape ABCD = [tex]\dfrac12 \pi + 2 \pi=\dfrac52 \pi \ \textsf{cm}^2[/tex]

Perimeter

1/2 circumference = [tex]\pi r[/tex]

⇒ perimeter = [tex]2\pi +2+\pi=3 \pi+2 \ \textsf{cm}[/tex]

If y = x3 + x,
find the value of y when x=-2

Answers

Answer:

y=-8

Step-by-step explanation:

if x=-2 -2*3= -6, -6+-2=-8

Answer:

-8

Step-by-step explanation:

-2 times 3 is -6, and -6 plus -2 equals -8

which equation shows x2+6x-6=0

Answers

Answer :0.75

Step-by-step explanation:

2x+6x-6=0

2x+6x=6

8x=6

x=6/8

x=0.75

HOPE IT HELPS .... MARK ME BRAINLIEST

PLEASE HELP ME PLEASE HELP ME I NEED HELP ON SIX PLEASE ANSWER ME AND DONT SEND LINKS THAT DONT WORK!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Pudge sold 8 tickets, Christi sold 19

tickets, Ace sold 38 tickets

Step-by-step explanation:

x = Pudge

3x - 5 Christi

2(3x-5) = Ace

Let x, 3x - 5 and 2(3x-5) be the tickets

x + (3x- 5) +2(3x - 5) = 65

Combine like terms

x+ (3x - 5) + 6x - 10 = 65

4x -5+6x - 10 = 65

10x - 5-10 = 65

Transpose -5 and -10 and change their

signs

10x = 65 +5+ 10

Add

10x = 80

Divide both sides by 10

10x/10x = 80/10

x =8

Pudge sold 8 tickets.

Evaluate x as 8

3x-5

3(8)-5

24-5 19

Christi sold 19 tickets.

2(3x-5)

2(3(3)- 5)

2(24- 5)

2(19)= 38

Ace sold 38 tickets.

Checking:

x+ (3x - 5) +2(3x - 5) = 65

8+(3(8)-5) +2(3(8) - 5) = 65

8 +19 +38 = 65

65 =65

which of the following lists of ordered pairs is a function?

Answers

Answer:

A (Only A)

Step-by-step explanation:

the X position can NOT repeat itself at all. In A it does not do that but in the rest it does
in B there is a 2,5 and a 2,2 (Repeating X)

in C there is a -1,4 and a -1, 7 (Repeating X)

in D there is a 3,1 and a 3,2 (Repeating X)

Answer:

A

Step-by-step explanation:

A function is a set of coordinate points that has a separate point for the x axis in every pair.

In order to find a function, just look at the first number in every parentheses and see if there are any multiples

Answer A has -2, 2, -3, and 3

Answer B has 2, 3, 4, and 2

Answer C has 0, -1, 1, and -1

Answer D has 1, 2, 3, and 3

Answer A is the only one that doesn't have repeating x points

Please give brainliest if I helped! :)

what is 4.87 x 7.23 (show ur work with a pic)

Answers

Answer: 35.2101

( Hope your day goes well :) )

A cube has an edge length of 14 feet. What is its volume, in cubic feet?

Answers

Answer:

V=2744ft³ is the answer

Answer:

2,744 cubic feet

Step-by-step explanation:

You only need a single measurement, then you multiply it by itself and by itself again, equivalent to raising it to the power of 3. Finally, adjust the unit to its cubic equivalent.  in this case Volume = (Edge of the cube) 3 so 14 x 14 x 14 is 2,744

I don't know this. Can someone please help me. I am in 7th grade.

Answers

Answer:

590 or 589.89

Step-by-step explanation:

Hope this helps!

Answer:

1380.25

Step-by-step explanation:

So to solve this problem, you find the outside circle and subtract it from the inside circle.

So, lets find the basic values

Radius of inside circle = diameter of the inside circle / 2

                                     = 27.6

                                     = 13.8

Radius of outside part = 11.3

So the area of the outside circle is

A = pi r^2

   = pi (11.3 + 13.8)^2

   = 630.01

   = 1978.23

And the area of the inside circle is

A = pi r^2

  = pi (13.8)^2

   = 190.44

   = 597.98

To find the shaded part, we subtract the outer circle with the inner circle

1978.23 - 597.98 = 1380.25

The area of the shaded region is 1380.25

What would the answer be

Answers

Every time you go up one X value, you go up 7 y values in this certain problem. The next set would be 9 (X value) and 73 (Y value)

4x0.75

Expian pls
4x0.75

4/0.65

Answers

Answer:

3

Step-by-step explanation:

0.75 out of 1 for 4 is 3

for 4

0.25 is 1

0.5 is 2

0.75 is 3

1 is 4

4/0.65 = 2.15 (not 100% on this one)

What is the area of a triangle with vertices at (−4, −6), (1, −6), and (1, 2)?

Answers

Answer:

The answer is (1,2) I'm pretty sure that is the answer if it is not please tell me I'll check.

Amelia is 5 feet tall and casts a 4-foot shadow.
A tree next to her casts a 12-foot shadow.
The two triangles formed are similar because the angle to the sun is the same.

Choose two equations that can be used to find the height, h, of the tree. what is the equation

Answers

Answer:

the answer is... Amelia is 5 feet tall and casts a 4-foot shadow.

A tree next to her casts a 12-foot shadow.

The two triangles formed are similar because the angle to the sun is the same.

Choose two equations that can be used to find the height, h, of the tree.

Step-by-step explanation:

hope it helps

The two equations that can be used to find the height are as follows:

12 / 4 = h  /5

5 / 4 = h  / 12

What is Similar Triangles?

Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of similar triangle are a ratio of each other.

here, we have,

Amelia is 5 feet tall and casts a 4-foot shadow.

A tree next to her casts a 12-foot shadow.

The two triangles formed are similar because the angle to the sun is the same.

The tree cast a shadow of 12 ft.

Let's establish the proportion base on similar triangles. The height of the tree is h.

Therefore,

h / 12 = 5 / 4

Therefore,

h / 12 = 5 / 4

cross multiply

4h = 60

divide both sides by 4

h = 60 / 4

h = 15 ft

Therefore, the two equations that can be used to find the height are as follows:

12 / 4 = h  /5

5 / 4 = h  / 12

learn more on similar triangles here:

brainly.com/question/12685664

#SPJ7

please help fast i have 30 mins

Answers

The answer is B (3 divided by 3/5= 5)because, as you can see all the rectangles are divided into 5 equal parts and each squares are shaded into 3 so that is 3/5.

A boat is heading towards a lighthouse, whose beacon-light is 113 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 10^{\circ} ∘ , before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 21^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.

Answers

The distance between points A and B and the boat is an illustration of elevation and distance

The distance from point A to point B is 346 feet

How to calculate the distance AB

The height of the lighthouse is given as:

h = 113

The distance between point A and the base of the lighthouse is calculated using the following tangent ratio

[tex]\tan(10) = \frac{113}{A}[/tex]

Make A, the subject

[tex]A = \frac{113}{\tan(10)}[/tex]

[tex]A = 640.85[/tex]

The distance between point B and the base of the lighthouse is calculated using the following tangent ratio

[tex]\tan(21) = \frac{113}{B}[/tex]

Make B, the subject

[tex]B= \frac{113}{\tan(21)}[/tex]

[tex]B= 294.38[/tex]

The distance AB, is then calculated as:

[tex]AB = A - B[/tex]

[tex]AB = 640.85 - 294.38[/tex]

[tex]AB = 346.47[/tex]

Approximate

[tex]AB = 346[/tex]

Hence, the distance from point A to point B is 346 feet

Read more about elevation and distance at:

https://brainly.com/question/7243416

Exit Ticket: Solve the triangle.
Solve the following problem. Round to one decimal place if
necessary. If your answer is correct you will see an image
appear on your screen.
T
.
Х
35
45°
Х

Answers

The value of x from the figure is 35√2

SOH CAH TOA identity

From the given figur, we have the following parameters

figure

Opposite = 35

Angle = 45 degrees

Required

Hypotenuse  = x

USing the theorem

Sin 45 = 35/x
x = 35/sin45

x = 35√2

Hence the value of x from the figure is 35√2

Learn more on soh cah toa here; https://brainly.com/question/20734777

(5x-25)(x+4)=0
What’s the answer

Answers

Answer:

x = - 4, x = 5

Step-by-step explanation:

(5x - 25)(x + 4) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

5x - 25 = 0 ⇒ 5x = 25 ⇒ x = 5

Answer:

x = - 4, x = 5

Step-by-step explanation:

(5x - 25)(x + 4) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

5x - 25 = 0 ⇒ 5x = 25 ⇒ x = 5

Hence, the correct answer is x=-4, x=5

What is the perimeter of the triangle?​

Answers

P=a+b+c hope it helps

NEED ANSWER ASAP AND MARKING BRANLIEST

Answers

The given quadratic equation forms a parabola when graphed, a U-shaped line.

To find the minimum value of y, we could find the y-coordinate of the vertex.

What is the vertex?

The vertex represents the maximum or minimum point on a parabola. It tells us the optimal y-value of the function and the x-value at which it occurs.

For the given quadratic, [tex]y=x^2+6x+7[/tex] the optimal y-value, or the y-coordinate of the vertex, will be a minimum. The [tex]x^2[/tex] value is positive, meaning the parabola will open upwards. (Please see below for an image representation).

Different Ways to Approach the Problem

There are multiple ways to approach this question.

One way is to rearrange the equation, which is currently in standard form, to vertex form.

Standard form for a quadratic: [tex]y=ax^2+bx+c[/tex]Vertex form for a quadratic: [tex]y=a(x-h)^2+k[/tex] where (h,k) is the vertex

Another way is to factor the equation to first find the x-intercepts of the graph, find the x-coordinate of the vertex, then at the end, plug the x-coordinate into the equation to find the minimum y-value.

The second strategy is a bit redundant for this type of question, so we can go about solving it by using the first method.

Finding the Vertex of this Parabola

[tex]y=x^2+6x+7[/tex]

First, we can group [tex]x^2[/tex] and [tex]6x[/tex] by using a set of parentheses:

[tex]y=(x^2+6x)+7[/tex]

Then, we can complete the square:

[tex]y=(x^2+6x+(\dfrac{6}{2})^2)^2+7-(\dfrac{6}{2})^2[/tex]

[tex]y=(x^2+6x+9)^2+7-9\\\\y=(x^2+6x+9)^2-2[/tex]

Apply the rule [tex]a^2+2ab+b^2=(a+b)^2[/tex]:

[tex]y=(x+3)^2-2[/tex]

Therefore, the vertex of the quadratic is (-3,-2).

This makes the minimum y-value -2. The x-value at which this occurs is -3.

Answer:

The minimum y-value -2. The x-value at which this occurs is -3.

Nolan drives 15 miles in 30 minutes. If he drove three hours in total at the same rate,
how far did he go?
Before you try that problem, answer the question below.
How many minutes did Nolan drive in total?

Answers

In 1 hour he drove 30 miles so in 3 hours he drove 60 miles so he drove so he drove 180 hours

Can someone please help me with this ty!

Answers

I think the answer is y=X+1
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