Work out the equation of
the line that goes through
(3, 2) and (-1, 10)

Answers

Answer 1

Answer:

[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]

Step-by-step explanation:

Let, A=(3,2)

      B=(-1,10)

So, The equation will be

[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]

Hope you have understood this.....            

ask me if you have any confusion.....            

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Answer 2

Answer:

y = - 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )

m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 2 )

2 = - 6 + c ⇒ c = 2 + 6 = 8

y = - 2x + 8 ← equation of line


Related Questions

Can y’all help me put these in order from least to greatest
7/9
2/6
9/10
Please
And thank you ‍️

Answers

Answer:

2/6 < 7/9 < 9/10

Step-by-step explanation:

Mrs. Williams is cleaning her classroom. While cleaning, she found 771 Legos out of a pack of 1,000. How many Legos does she have left to find?

Answers

Answer:

229

Step-by-step explanation:  do 1000-771 and u get the answer

Answer:

229

Step-by-step explanation:

To find how many are left, do the total minus the amount found:

1000 - 771 = 229

Find the number whose 1/3 part exceeds its 1/4 part by 12

Answers

Answer:1/5

Step-by-step explanation:

not entirle sure but yeah

fill in the missing terms and identify whether it is arithmetic, geometric, or fibonacci, ​

Answers

Answer:

hello are you a Latina hola como estas soy niña

what is point W( 7, -4) reflected over the x-axis

Answers

Answer:

(7, 4)

Step-by-step explanation:

In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same:  7.  But the -4 becomes +4 through this reflection.

Reflected point is (7, 4)



Let x represent BC. Using either ABC or CAB and trigonometric functions, solve for x to three decimal places in at least three different ways.

Show your work for each way you find x.

Answers

Answer:

Step-by-step explanation:

plato answer

A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?

Answers

Answer:

9 mm

Step-by-step explanation:

A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?

----

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

We use the inverse formula

base = 2A : height

2 * 27 : 6 = 9

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

check

6 * 9 : 2 = 27

the answer is good

Solve the quadratic function by factoring. y = x2 - 2x - 48 First, factor the quadratic. Enter the number that belongs in the green box. y = (x + [?])(x - 1)​

Answers

Answer: y = (x+6)(x-8)

Step-by-step explanation:

If tan(t) ≈ 2.7, and sin(t) ≈ 0.94, find cos(t)

Answers

Answer:

cos = 0.89/1.9 = 0.46842105263157895-

Step-by-step explanation:

the value of cos(t) is approximately 0.347.

To find the value of cos(t), we can use the identity:

tan²(t) + 1 = sec²(t)

Since we know the value of tan(t) is approximately 2.7, we can calculate sec(t):

sec²(t) = tan²(t) + 1

sec²(t) = 2.7² + 1

sec²(t) = 7.29 + 1

sec²(t) = 8.29

Now, to find sec(t), we take the square root of both sides:

sec(t) = √(8.29)

sec(t) ≈ 2.877

Finally, we can find cos(t) using the reciprocal identity:

cos(t) = 1 / sec(t)

cos(t) ≈ 1 / 2.877

cos(t) ≈ 0.347

So, the value of cos(t) is approximately 0.347.

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Find the surface area. Please help!! I need it quick

Answers

Answer:

This is a right trapezoidal prism.

To find the total surface area,

First we have to find the area of the 2 trapezoids.

Let us find now.

[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]

[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]

[tex]Area=3.7*1.9[/tex]

[tex]Area = 7.03m^{2}[/tex]

Now you have to find the areas of the 3 rectrangles.

Let us find now.

(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)

10.08 m² + 11.04 m² + 9.12 m²

= 30.24 m²

Now let us find the total surface area of this solid.

7.03 m² +  30.24 m²

= 37.27 m²

The figure shows three parallelograms: ABCD, A'BCD, and A"B"C"D".
Polygon ABCD is ___ to create parrellogram A’B’C’ D’
Polygon ABCD is ___
to create parallelogram A’’B'’C'’D".

A. reflected off y axis
B. rotated 90 degrees clockwise without origin
C. reflected across x- axis
D. rotated 270 degrees clockwise about the origin.

Answers

Answer:

First blank: B and C

Second blank: D and A

Step-by-step explanation:

Answer:
-Polygon ABCD is
rotated 270 degrees clockwise about the origin to create parallelogram A'B'C'C'.

-Polygon ABCD is
rotated 90 degrees clockwise about the origin to create parallelogram A"B"C"C".

what is 0.3% of 200

Answers

It’s 60 because you multiple .3 by 200

A modern sculpture in a park contains a parabolic arc that
starts at the ground and reaches a maximum height of 10 feet after a
horizontal distance of 4 feet. Write a quadratic function in vertex form
that describes the shape of the outside of the arc, where y is the height
of a point on the arc and x is its horizontal distance from the left-hand
starting point of the arc.

Answers

Using the vertex form, the equation of the parabola is given by:

[tex]y = a(x - 4)^2 + 10[/tex]

The equation of a parabola, with vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

In this problem, it reaches a maximum height of 10 feet after a  horizontal distance of 4 feet, hence, the vertex is (4,10), that is, [tex]h = 4, k = 10[/tex]. Then, the equation for the parabola is:

[tex]y = a(x - 4)^2 + 10[/tex]

A similar problem is given at https://brainly.com/question/15165354

help with this question

Answers

With some simplification,

cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3

becomes

-4 cos⁻¹(x) = π

or

cos⁻¹(x) = -π/4

However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.

Nathan earned $105.70 at his job when he worked for 7 hours. What was his hourly wage, in dollars per hour?

Answers

105.70 divided by 7 will give you 15.1 which will be his hourly wage.
Answer: $15.1

During May, Andy had cash inflows of $550, $40, $65, and $80. He had cash outflows of $10, $30, $60, $25, $100, and $250. What is Andy’s net cash flow?

PLEASE HELP ME I DON'T KNOW WHAT THE ANSWER IS

Answers

Answer:

positive 260

Step-by-step explanation:

add the cash inflows

550+40+65+80 = 735

add the outflows

10+30+60+25+100+250 = 475

then substract the outflows from the inflows

735-475 = 260

So Andy's net cash flow is positive 260

Please consider marking this answer as brainliest if it helped you. Thanks!

Andy’s net cash flow is $260.

Given that, during May, Andy had cash inflows of $550, $40, $65, and $80.

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Total cash inflow

= 550+40+65+80

= $735

Total cash outflow

= 10+30+60+25+100+250

= $475

So, net cash flow =735-475

= $260

Therefore, Andy’s net cash flow is $260.

Learn more about the subtraction here:

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find x help meh pls
6 4/5=5/6x−3/12

Answers

I got a few not sure what you’re looking for

x=423/50
x=8 23/50
x=8.46

can someone help me plsss

Answers

Answer:

c=23/24

Step-by-step explanation:

 c+3/8=1/1/3

 c+3/8=4/3

c+9/24=32/24

        c=32/24-9/24

         =23/24

can anyone help me with this?
Find the missing angle measure.

Answers

Answer:

116

Step-by-step explanation:

Given shape has 6 angles and the sum of interior angles for this shape is calculated as following:

180*(6-2) = 720 now to find x we need to find the sum of given angles first:

144 + 163 + 50 + 131 + 126 x = 720

614 + x = 720 subtract 614 from both sides

x = 116

Solve for
x
x

6
9
=

5

Answers

[tex]x - 69 = - 5 \\ x = - 5 + 69 \\ x = 64[/tex]

- BRAINLIEST answerer

Answer:

64

Step-by-step explanation:

The angle measures of a triangle are in the ratio 3: 4: 3. Find the angle
measures of the triangle.

Answers

Answer:

72

Step-by-step explanation:

3X+4X+3X=180

10X=180

X=180/10

X=18

3X=54 BOTH

4X=72

What else is required to prove the triangles are congruent using SAS?
See picture for full problem. Please and thank you so much!

Answers

Answer:

<JL congruent <TV

<JU congruent <UL

<TU congruent <UV

Step-by-step explanation:

because they have the same angles and that's my opinion for me

Kyle read 3 5/6 books and Jan read 2 1/3 books. How many more books did Kyle read than Jan?

Answers

Answer:

3 5/6 = 3 10/12

2 1/3= 2 4/12

3-2=1

10/12-4/12= 6/12=1/2

so Kyle read 1 1/2 more books then Jan

Answer:

Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan

Step-by-step explanation:

Let's put our equation

[tex]3 \frac{5}{6}-2\frac{1}{3}[/tex]

They have different denominators so let's look for the [tex]LCM[/tex] to find our common denominator

Find our LCM

Definition of LCM - LCM stands for least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.

Now let's find our LCM

[tex]6:6,12,18,24,30,36,42\\\\3:3,6,9,12,15,18,21,24,27,30[/tex]

as you can see our [tex]LCM[/tex] is [tex]6[/tex]

Now our fraction is[tex]3\frac{5}{6}-2\frac{2}{6}[/tex]Solve

[tex]3\frac{5}{6}-2\frac{2}{6}=1 \frac{3}{6}[/tex] this can be reduced to [tex]1 \frac{1}{2}[/tex]

Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan

Brainliest please :)

What is the probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, i = 2, 3,. , 12?.

Answers

Answer:

0, 1/18, and 1/36

Step-by-step explanation:

For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.

For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.

For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.

The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.

We have,

The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."

Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.

Let's go through the cases:

i = 2 (only possible sum with two dice):

In this case, both dice must show a 1.

The probability of this happening on a fair 6-sided die is

(1/6) * (1/6) = 1/36.

i = 3: The combinations are (1, 2) and (2, 1).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 4:

The combinations are (1, 3), (2, 2), and (3, 1).

The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.

i = 5:

The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).

The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.

i = 6:

The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).

The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.

i = 7:

The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.

i = 8:

The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.

i = 9:

The combinations are (3, 6), (4, 5), and (5, 4).

The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.

i = 10:

The combinations are (4, 6) and (6, 4).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 11:

The combinations are (5, 6) and (6, 5).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 12:

The combination is (6, 6).

The probability of this happening is (1/6) * (1/6) = 1/36.

Now, sum up the probabilities for each case:

(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)

This simplifies to:

69/36 = 23/12

Thus,

The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.

Learn more about probability here:

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Andre road his bike at a constant speed he rode one mile in 5 minutes which of these equations represent the amount of time t (in minutes) that it takes him to ride a distance of d miles?
a:t=5d
b:t=1/5d
c=d+4
dt=d-4

Answers

Answer: Hello!

Time taken to drive 1 mile = 5 minutes. Now we have to find the amount of time t (in minutes) taken by him to right distance d so we can again use same formula. Since the answer will be equation A. t=5d.

A. t=5d

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%  Anna♥

The aquarium in Mrs. Mnon's
class holds 10 gallons. How many
quarts does the tank hold? How
many pints? Please

Answers

There are 4 quarts in a gallon and 8 pints in a gallon so 40 quarts or 80 pints

Α. y- 2 = 2(x- 3)
Β. y- 3 = 2(x- 2)
C. y- 1 = 2(x- 9)
D. y- 9 = 2(x-1)​

Answers

Answer:

c.

Step-by-step explanation:

please help me :) there is a picture

Answers

Yes it’s on the line.
Explanation: the ratio of the point (20,16) is 5/4 and the slope of the line is 5/4. You can also take the slope of (20,16) and (4,5) they also have the slope 5/4

Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.

What is the largest the actual height of the plant could be?
4 7/10
inches

Answers

Answer:

Step-by-step explanation:

Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.

It is obvious that the height will lie within the range

2.5/4<h<3.5/4

which corresponds to the range

5/8<h<7/8 OR 0.625<h<0.875

Thus,

a. The largest actual height could be 0.875 inches, while

b. The smallest actual height could be 0.625 inches

c. The percentage error is given by the formula:

[(approx.-exact)/exact]*100%

If we take the lowest value, for instance, as the exact, i.e. 0.625 inches,

then % error = [(0.75-0.625)/0.75]*100% = 16.7%

Obviously, the same value is expected if we take the upper limit of 0.875, i.e. % error = [(0.75-0.875)/0.75]*100% = -16.7%, only that the absolute value will be taken.

solve my math question

Answers

Answer:

letter C

Step-by-step explanation:

keep learning On math

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