A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?

Answers

Answer 1

Hello!

[tex]\large\boxed{t = -8}[/tex]

We can find the value of t using the slope formula:

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

Plug in the given slope and coordinates into the appropriate places:

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

Simplify:

[tex]5 = \frac{2-t}{2}[/tex]

Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:

[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]


Related Questions

Mike read 18 books. This was 4 fewer than twice the number that Jeff
read. How many books did Jeff read?

Answers

Answer:

i think 13

Step-by-step explanation:

14 bro trust I’m drippy

Joey pays $35.85 each month for his new stereo what does he pay each year

Answers

ANSWER
$430.20

STEP BY STEP
there are 12 months in a year so multiply that number by 12.

Hope this helps

Answer:

$430.20

Step-by-step explanation:

35.85 x 12= 430.20

Find the sum to 40 terms of the arithmetic sequence below. Please show your
work.
14+23+32

Answers

Answer:

7580

Step-by-step explanation:

The formula for the sum of an arithmatic sequence is

[tex]\frac{n}{2} (a_{1} + a_{n})[/tex],

where n = total number of terms (in this case 40)

[tex]a_{1}[/tex]= the first term (in this case 14)

and [tex]a_{2}[/tex] = the last term (we will need to find this)

to find the last term, we can use this formula:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

where d is the difference between each term (in this case 9, because 23 - 14 = 9, and 32 - 23 = 9)

thus, [tex]a_{n}[/tex] = 14 + (40 - 1)9 = 14 + 39*9 = 14 + 351 = 365

plug this back into the first formula to get

Σ = [tex]\frac{40}{2}[/tex] (14 + 365) = 20(379) = 7580

AM I RIGHT PLEASE HELP will mark BRAINLIEST

Answers

yeth you are right.......

Answer:

Yes

Step-by-step explanation:

BC ll EF

You are given the following equation: (x+3)^2 + (y+9)^2 = 144 What is the
(h,k)

Answers

Answer:

Step-by-step explanation:

Equation of circle: (x - h)² + (y -k)² = r²

(x+ 3)² + (y + 9)² = 144

(x+ 3)² + (y + 9)² = 12²

h = -3 ; k = -9

What is the domain of the function V(x)+1.

Answers

Answer:

3th one

Step-by-step explanation:

Answer:

i am not completely sure, im a bit rusty on this, but if im correct the answer is Option 1. I hope you get it right :)

Step-by-step explanation:

Find three consecutive integers such that that product of the first and third is one
less than 22 times the second integer.

Answers

Answer:

n = the first

n + 1 = the 2nd

n + 2 = the 3rd

n(n + 2) - (n + 1) = 10(n + 2) + 1

n2 + 2n - n - 1 = 10n + 20 + 1

n2 - 9n - 22 = 0

(n - 11)(n + 2) = 0

If two factors = 0, at least one must = 0.

n - 11 = 0

n = 11

11,12,13

n + 2 = 0

n = -2

-2,-1,0

It’s due late tonight can some pls help me pass

Answers

Answer:

Table A

Step-by-step explanation:

plugging the x values into the rule f(x)=-2x gets you

f(-3)= 6

f(-1)= 2

f(1)= -2

f(3)= -6

The Question is in the attachment below

Answers

Answer:

Step-by-step explanation:

It is J I’m pretty sure

Need help please only searious answers.​

Answers

Answer:

answer 3

Step-by-step explanation:

Hope this helps you out

Answer The Question for Brainliest

Answers

Answer:

turn it 90 degrees, hope this helps

Step-by-step explanation:

Answer:

so go to the 120 degree line and make sure the line is straight across from zero and thin dray a line going from 120 down to the bottom of where the zero is  

Step-by-step explanation:

The sum of eight and twice a number is 42

Answers

Answer:

8 + 2n = 42

Step-by-step explanation:

the sum of eight:   ___+ 8

and twice(2) a number(could be any variable but for now i choose n):   2n + 8

is 42 (literally mean it equals 42):    2n + 8 = 42

explain how to solve the equation 7s=28

Answers

divide 7 by both sides and it should be s=4

A carpenter leans a 20-foot ladder against a building so that an angle of 60° is formed between the ladder and the ground. How many feet away from the
building is the bottom of the ladder?
O 10/3ft
O 20 ft
O 20V2 ft
O 10 ft

Answers

Answer:

The foot of the ladder is

10

feet away from the base of the wall.

Step-by-step explanation:

The distance between building and the bottom of the ladder is option (D) 10 ft

What is Trigonometric function?

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given,

Length of the ladder = 20 foot

Angle between the ladder and the ground = 60  degrees

Draw the figure using the given data

We know,

cos θ = Adjacent side / Hypotenuse

cos 60 = [tex]\frac{x}{20}[/tex]

x = 20 × cos 60

x = 10 ft

Hence, the distance between building and the bottom of the ladder is option (D) 10 ft

Learn more about Trigonometric function here

https://brainly.com/question/6904750

#SPJ2

The highest degree of academic achievement in the American education system is a __________ degree.
A.
bachelor’s
B.
doctorate
C.
master’s
D.
secondary

Answers

Answer: B, doctorate

Explanation: takes the most time to get

Pls help me I will give brainliest

Answers

Answer:

Step-by-step explanation:

a^8/c

Answer:

a8

b

10

/c

a^8/c

Step-by-step explanation:

Can I pls get the Brainlist

50 points! I need help fast! Random answers will be reported! I will mark brainliest to the correct answer :)

Answers

Answer:

1) yes, SAS

2) No, there is no SSA theorem

Step-by-step explanation:

1) PR is shared between the two triangles so you know by Side-Angle-Side

Looking out for me balcony the angle of elevation to the top of the next building is approximately 22° in the English depression to the bottom of the building approximately 29° if the building is 200 feet away how tall is the building?

I will give brainliest to whoever solves it right. hint its not 80.7 feet

Answers

Answer:

Step-by-step explanation:

[tex]\tan22=h_1/200,\ \tan29=h_2/200

h_2+h_1=200(\tan29+\tan22)

H\approx 191.667ft

H\approx 191’ 8”

A billiard ball bounces off the sides of a rectangular billiards table in such a way that 1= 23,
24 = 26, and Z3 and 24 are complementary. If m_1 = 27°, find the measure of all the other angles.
1
3
2
m/2 = =
4
m23 =
5
6
m24 =
m25 =
m26 =

Answers

Oh okie so I can see you in the first place is ow

Please answer all these questions for me for day 4.

Answers

(a)6x-28=4x+18
2x=46
x=23

(b)75=11x-2
77=11x
7=x

(c)x+139=132
x=-7

A park ranger wants to know the average time it takes hikers to hike a trail. There is an average of 1,245 hikers on the trail in a year. How can he find a reasonable estimate for the amount of time it takes to hike the trail? A time any hiker on the trail and use that time

B time himself on the trail and use that time

C time 100 hikers and average their times

D time 3 hikers and average their times

Answers

Answer:

B

Step-by-step explanation:

the reason why is a bigger sample size and a different types of people in a 100 than 3 or than himself

What's the slope of the line in the graph above?
Question 9 options:


A)
–3∕5


B)
–5∕3


C)
5∕3


D)
3∕5

Answers

Answer:

C.5/3

Step-by-step explanation:

5 up and 3 to the side

Answer:

C is correct

Step-by-step explanation:

X-3y=15 and y=-3x+4 determine if the lines are parallel,perpendicular,or neither

Answers

Answer:

neither parallel or perpendicular.

Step-by-step explanation:

Answer:

3 x + y = 16

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!!!!​

Answers

Answer:

9.y=Mx+b

   Y= 2/5x+4

10. y=Mx+b

     Y=4x-5

Step-by-step explanation:

Answer:

9) [tex]y=\frac{2}{5} x+4[/tex]

10) [tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, or the value of y when the line crosses the y-axis.

Question 9

[tex]y=mx+b[/tex]

The question tells us that the slope of the line is [tex]\frac{2}{5}[/tex]. Because the slope is [tex]m[/tex], plug [tex]\frac{2}{5}[/tex] into the equation as [tex]m[/tex].

[tex]y=\frac{2}{5} x+b[/tex]

Then, it tells us that the y-intercept is (0,4). Recall that the y-intercept is the value of y when the line crosses the y-axis. The value of y in the point (0,4) is 4. Because the y-intercept is [tex]b[/tex], plug 4 into the equation as [tex]b[/tex].

[tex]y=\frac{2}{5} x+4[/tex]

Question 10

[tex]y=mx+b[/tex]

First, we must calculate the slope using the slope equation:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

The given points are (0,-5) and (2,3). Plug those into the equation.

[tex]\frac{3-(-5)}{2-0}[/tex]

Two negatives make a positive

[tex]= \frac{3+5}{2-0}\\= \frac{8}{2} \\= 4[/tex]

Therefore, the slope of the line is 4. Plug 4 into the original equation as [tex]m[/tex].

[tex]y=4x+b[/tex]

Now, we can find the y-intercept by simply looking at the graph. The line crosses the y-axis at the point (0,-5). Therefore, the y-intercept is -5. Plug -5 into the equation as [tex]b[/tex].

[tex]y=4x+(-5)\\y=4x-5[/tex]

I hope this helps!

A helicopter is planning a route in a straight line from the top of Mount Whitney to Death Valley. (These two locations are in California and are the highest and lowest points respectively in the continental United States. They are only about 85 miles apart.) The helicopter will start at the top of Mount Whitney at an elevation of 14,505 feet and fly to the Badwater Basin (282 feet BELOW sea level). During its flight, the helicopter descends at a rate of 493 feet per minute, and the trip will take about 30 minutes.

Write an equation that relates the helicopter's elevation (E) to the travel time (t).

Question 3 options:

E=−493t+14787

t=14505−493E

E=14505−493t

E=282+14505t

Answers

The linear function that relates the helicopter's elevation (E) to the travel time (t) is:

E = −493t+14787

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

The helicopter descends at a rate of 493 feet per minute, hence [tex]m = -493[/tex].It flies from an elevation of 14,505 feet to an elevation of 282 feet BELOW sea level, hence the distance it travels in feet is [tex]b = 14505 + 282 = 14787[/tex]

Hence, the model is:

E=−493t+14787

You can learn more about linear functions at https://brainly.com/question/13967935

Answer:

E=−493t+14787

Step-by-step explanation:

just got it right on the test

Help me please if you can

Answers

Answer:

<D=<J

Step-by-step explanation:

The first answer is the only correct statement. In geometry, congruent angles are shown through the number of arcs on the vertex of an angle. For example, if two different angles both had three arcs on the vertex, then those two angles are congruent. In this figure, both <D and <J have 4 arcs, which means they are congruent. Additionally, both angles are opposite of a line that measures 25 inches. If two angles are opposite of congruent lines, then the angles are also congruent.

AHH IM SORRY!!Twenty-four out of forty pies at the bake sale are chocolate pies. What percent is chocolate.

Answers
24%
40%
60%
75%
Ik I should be figuring it out on my own but my brain is fried

Answers

Answer:

60%

Step-by-step explanation:

Х?
When a side of the triangle is 55°

Answers

Answer:

70

Step-by-step explanation:

180 - 55 -55 = 70

30 is 60% of
due today

Answers

Answer:

30 is 60% of 50.

Step-by-step explanation:

30 ÷ 60% = 50

Blake bought a new set of golf clubs. He found them at Golf Pro for $270. If the store is offering 20% off how much are the new clubs?​

Answers

Answer:

216

Step-by-step explanation: 270-20%= 216

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