If R is the midpoint of ST, SR = 3x + 8, and RT = 5x - 6, find the measure of SR.

Answer:

x = 16

Step-by-step explanation:

5x - 7 = 8x - 55

+55             +55

5x + 48 = 8x

-5x             -5x

48/3 = 3x/3

16 = x

[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]

[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]

[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]

[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]

[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]

Answer:

y=-x-3

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (-6,3) and (-5,2)

There are 3 ways to write the equation of the line:

The most common way to write the equation of the line is in slope-intercept form, so let's do it that way.

First, we'll need to find the slope of the line

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Although we already have 2 points, let's label their values in order to avoid confusion later:

[tex]x_1= -6\\y_1=3\\x_2=-5\\y_2=2[/tex]

Now substitute these values into the formula to find slope (m):

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute (remember: we have NEGATIVE numbers, but the formula calls for SUBTRACTION, so we'll end up subtracting a negative):

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

Simplify:

m=[tex]\frac{2-3}{-5+6}[/tex]

Add/subtract the numbers together:

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

Divide

m=-1

We can substitute this as m in y=mx+b:

y=-1x+b, or y=-x+b

We need to find b now

Since the equation passes through both (-6, 3) and (-5, 2), we can use either point to solve for b

Taking (-6, 3) for example:

Substitute -6 as x and 3 as y

3=-1(-6)+b

Multiply

3=6+b

Subtract 6 from both sides

-3=b

Substitute -3 as b into the equation

y=-x-3

Hope this helps!

Using it's concept, it is found that there is a 0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

For a sum no greater than 10, we have that:

Hence, the number of desired outcomes is:

[tex]D = 10(2) + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 = 64[/tex]

The probability is:

[tex]p = \frac{D}{T} = \frac{64}{100} = 0.64[/tex]

0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

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Answer:

the atoms can have different numbers of valence electrons

Answer:

for every 10 she eats the minutes are even

Step-by-step explanation:

( i honestly dont know how to explain the relationship but i did the math for it)

it would take 12 mins to eat all 60 candies

55 candies : 1 min

50 candies : 2 mins

40 candies : 4 mins

30 candies : 6 mins

20 candies : 8 mins

10 candies : 10 mins

0 candies : 12 mins

Answer:

it is 3

Step-by-step explanation:

4x+2x=18 so we solve for x which is 3

Answer: A. 3

Step-by-step explanation: On Edge!!

Answer:

240

Step-by-step explanation:

1 foot=12 inches.

12 inchest times 20=240

In 1 square feet there will be  0..0025 inches on the scaled diagram.

Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion of measurement.

For example,

1 kg = 1000g

⇒ 1 gm = 1/1000kg

According to the given question.

1 inch = 20 feet.

⇒ [tex]1 feet = \frac{1}{20} inch[/tex]

⇒[tex]1^{2} (feet)^{2} = (\frac{1}{20} )^{2} (inch)^{2}[/tex]

⇒ 1 square feet = 1/400 square inches

⇒ 1 square feet = 0.0025 square inches

Hence, in 1 square feet there will be  0..0025 inches on the scaled diagram.

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Answer:

hope it helps you.........

1. a⁵ ÷ a³ = a²

2. c⁴/c³ = c¹ = c

By the equations:

[tex] {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]

Answer:

69 purple cookies!

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

The y-intercept is where the x value is 0.

Hi how u doin ?

[tex]4x + 8 = 60[/tex]

Subtract both sides 8

[tex]4x + 8 - 8 = 60 - 8[/tex]

[tex]4x = 52[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{52}{4} \\ [/tex]

[tex]x = 13[/tex]

There u go ...

Don't have a good day , Have a great day ♡

Answer:

slope is 0

Step-by-step explanation:

(-6,-7) and (-25, -7)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-7 - (-7) / (-25 - (-6))

Simplify the parentheses.

= (-7 + 7) / (-25 + 6)

= (0) / (-19)

Simplify the fraction.

= 0/-19

= 0

This is your slope.

This means your line is a horizontal line.

Answer:

• The smart phones produced by Samsung in 30 minutes reduce from 10 by 15 times

Step-by-step explanation:

[tex] = ( - 3)(5) + 10 \\ = - 15 + 10 \\ = - 5[/tex]

The point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio is  (3, -1).

In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex centers of a triangle

Given

[tex](x_{1} ,y_{1})[/tex] = X(-3, 3)

[tex](x_{2},y_{2} )[/tex] = Y(6,-3)

m: n = 2:1

Section formula = [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n} )[/tex]

P(a, b) = [tex](\frac{2(6)+1(-3)}{2+1} ,\frac{2(-3)+1(3)}{2+1} )[/tex]

P(a, b) = [tex](\frac{12-3}{3},\frac{-6+3}{3} )[/tex]

P(a, b) = [tex](\frac{9}{3} ,\frac{-3}{3} )[/tex]

P(a, b) = (3, -1)

The point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio is  (3, -1).

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Answer:

9

Step-by-step explanation:

So it kinda easy but ill Just give u the answer :D

Answer:

9-3÷ 1/3+1= 9

Step-by-step explanation:

I can't do solution sorry.

Answer:

  2 1/3

Step-by-step explanation:

The value of the fraction that is an infinite sequence of 3s is 1/3. As more 3s are added to the fraction, it comes closer to 1/3.

The limit is 2 1/3.

Answer:

[tex]15^{n-1}[/tex]

Step-by-step explanation:

First , Let's find the common ratio of this sequence.

[tex]\frac{15}{3}=5\\\frac{75}{15} = 5\\\frac{375}{75} = 5[/tex]

SO,

r = 5

Now let's use this formula to find the n th term

[tex]T_n = ar^{n-1}[/tex]

Here,

a = first term

r = common ratio

Let's find,

[tex]T_n = 3*5^{n-1}[/tex]

[tex]T_n =15^{n-1}[/tex]

Therefore,

the n th term is,

[tex]15^{n-1}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

[tex]a_{n}[/tex] = 3[tex](5)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

15 ÷ 3 = 75 ÷ 15 = 375 ÷ 75 = 5

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 5 , then

[tex]a_{n}[/tex] = 3 [tex](5)^{n-1}[/tex]

Answer:( 1.26 x 10 ^ 5 ) / ( 2.8 x 10 ^ 4 ) = 4.5 times bigger

Step-by-step explanation:

Please check the attached image for the steps.

Answer = 11/42 = 0.261

____

RainbowSalt2222 ☔

Answer:

3042

Step-by-step explanation:

1/2 * 81 * 81 * sin(112) = 3041.6266

The area of the triangular gable is 6083.25 ft².

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a triangle with two sides a and b and angle C is,

(a×b×sinC).

Given, A painter is painting the gable end of a house which is a triangle with two sides of 81 feet that meet at a 112° angle.

∴ The area of the triangular gable is = (81×81×sin112°).

= (81)²sin112°.

= (81)²×0.928 ft².

= 6083.25 ft².

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or, 144° + x° = 180°

or, x° = 180° - 144°

or, x° = 36°

or, x = 36.

x = 36

Hope it helps.

Do comment if you have any query.

Answer:

17 floors

Step-by-step explanation:

1 floor every 4 seconds.

90/4 = 22.5

40 - 22.5 = 17.5

17.5 is 17ish floors, and is the only answer that is close to 17 floors.

Answer:

Step-by-step explanation:

Diameter of the circle = Side of the square = 10 cm

radius = r= 10/2 = 5 cm

Area = πr²

        = 3.14*5*5 = 78.5 cm²

Answer:

a) 10 y = x

b) 8.5 min

Step-by-step explanation:

a) x - axis = distance

y - axis = time

the line passing through points (10,1) (20,2) (30,3).......

line equation is y - y1 = m (x - x1)

m = (y2 -y1) / (x2 - x1)

= (2 - 1) / (20 - 10)

m = 1/10

y - 1 = 1/10 * (x - 10)

10(y - 1) = x - 10

10y - 10 = x - 10

10y = x

here x represents distance

y represents time

b) for distance of 85 inches

time =

10 * time = 85

time = 8.5 min

Answer:

Step-by-step explanation: 1/4 will be about 4-5 with the reserve. You should be able to cover about 120 — 150 miles on that. Don't push your luck. Always keep your tank at least half full.

The line lowest to the bottom would mean you have 1/4 of a tank of gas and you should probably fill up soon, below 1/4 would be close to 1/8 of a tank which means get gas now.

A fraction (mathematics) of one fourth, one quarter, 25% or 0.25.

one of the four equal or equivalent parts into which anything is or may be divided. 2. a fourth part, esp. of one (¼).

One-fourth is also called a quarter.

To find one quarter of a number divide the number by 4. So 1640 divided by 4 is 410.

The number of miles travelled by the vehicle in full tank will be 360 miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that you can drive 90 miles in 1/4 of a tank of gas in 1 hour. The number of miles will be calculated as,

Number of miles in full tank = 4 x 90

Number of miles in full tank = 360 miles

Hence, in a full tank, the vehicle can travel 360 miles.

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Answer:

2√7/7.

Step-by-step explanation:

Multiply top and bottom of the fraction by √7:

(2 * √7) / (√7 * √7).

= 2√7/7.