Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l contains point S. The length of segment R S is 2 x + 8. The length of segment S Q is 8 x minus 4.
What is the length of segment SR?

Answer:

  0.4 kg

Step-by-step explanation:

A proportion can be used to find the amount of sugar.

  x/(1.1 L) = (0.1 kg)/(0.275 L)

  x = (1.1)(0.1)/0.275 kg = 0.4 kg

Angela needs 0.4 kg of sugar for her biscuits.

The following functions could represent the graph below then the correct option is B; y =  (x - a)^2 (x - b)^4.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

we have given that a and b are real numbers different than zero.

From the graph, we can see that the line touches the x-axis in two values.

Now, if we would have an equation such as:

y = x(x - a)^3 (x - b)^3

then when x = 0

y = 0(0-a)^3 (0-b)^3

y = 0

But in the graph, we can see that when x = 0, the value of y is different than zero,

(For example, if x > a and x < b we would have a negative value for y)

Then the correct option is B ;y =  (x - a)^2 (x - b)^4

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Answer:

8 occurs most often so the number is 8.

Answer:

The mode is 8.

Step-by-step explanation:

mode means the number that occurs the most in a list.

Answer:

Perimeter= 40

Area= 120.71

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

AX is equal to XB

Answer:

75 degrees

Step-by-step explanation:

all added up is 180 on every triangle. 70+35=105. 180-105=75

Step-by-step explanation:

4+5 (2x-3)-6x

9 (2x-3)-6x

18x-27-6x

12x-27

Answer:

[tex] \sf \: 4x - 11 [/tex]

Step-by-step explanation:

Given expression,

→ 4 + 5(2x - 3) - 6x

Let's simplify the expression,

→ 4 + 5(2x - 3) - 6x

→ 4 + 10x - 15 - 6x

→ (10x - 6x) + (4 - 15)

→ (4x) + (-11)

→ 4x - 11

Hence, the answer is 4x - 11.

Answer:

(x-16)(x+2)

Step-by-step explanation:

-32=-16*2

-16+2=-14

Answer:

The answer is 1

Step-by-step explanation:

Answer:

i think the cost of each bag is $2.61

Step-by-step explanation:

suppose the cost of each bag is $x

7.83 = 3x

7.83/3 = x

2.61 = x

so the cost of each bag is $2.61

Answer:

  72 minutes

Step-by-step explanation:

The sum of the rates of work in rooms per hour is ...

  Jill's rate + Jim's rate

  = (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour

__

Then the combined rate in hours per room is ...

  1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)

  = 72 minutes per room

Jill and Jim can paint the room in 72 minutes when they work together.

Answer:

x=5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

D = 200m T = 25s

The formula for speed is speed = distance ÷ time

S = 200 ÷ 25

S = 8m/s

The system of linear inequalities represented by the graph is 2 < x < 3.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted lines represents strictly less than or greater than inequalities.

Inequality 1 represents x > 2 and inequality 2 represents x < 3.

The combined inequality can be represented as 2 < x < 3.

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Answer:

[4  -11   1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

Step-by-step explanation:

This is Finite Math, I got this hehe :)

To find the answer, first you need to understand what R means.

It stands for "row". So R1 means "Row 1".

So: -3R1 + R3 means that you need to multiply -3 by all of the numbers in row 1 and then add all of the numbers in row 3

[0   3   1   -1   l  6]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4  1    5   3   l   7]

Then use ^^THAT^^ and apply the next set of instructions.

-4R1 + R4 means that you multiply -4 by all of the numbers in row 1 and then add all of the numbers in row 4:

[4  -11    1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

Answer:

12 minuts

Step-by-step explanation

If you divide 95 by ten you get 9.5, and 9.5 to 95 and you get 104.5 and it is 11 minuts. add it again and you are at 114 words and it is 12 minuts.

Answer:

a) 512 cm^3

b) 469.125 cm^3

Step-by-step explanation:

8*8*8 = 512 cm^3

or

8^3 = 512 cm^3

3.5^3 = 42.875

512 - 42.875 = 469.125 cm^3

You can round the second answer down

Answer:

Step-by-step explanation:

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

Answer:

$7.00

Step-by-step explanation:

$86+$12=$98

$98÷14=7

Answer:

angle A=30°

angle B=60°

angle C=90°

Step-by-step explanation:

given : A=30°,C=90° the mark states it is 90°

find :C=?

A+B+C=180°

30°+90°+x°=180°

=120°+x°=180°

=120°-120°+x°=180°-120°

=x°=60°

Answer:

23x + 9

 ———————

    9  

Answer:

The slope is 0, and the y-intercept is (0,5)

Step-by-step explanation:

I've had this question before.

Answer:

Step-by-step explanation:

y= x+ 5

The location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

The midpoint formula is expressed according to the formula;

[tex]R(x, y) = (\frac{ax_1+bx_2}{a+b},\frac{ay_1+by_2}{a+b})[/tex]

where;

Given the coordinates Q(-8, 0) and S(12, 0) partitioned in a 4:1 ratio, the coordinate of point R will be expressed as:

[tex]R(x, y) = (\frac{4(-8)+0}{4+1},\frac{1(12)}{4+1})\\R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

Hence the location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

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