Evaluate the question.
-8x = 90

A.) x = 82
B.) x = 45/4
C.) x = -45/4
D.) x = -82

Answer:

The slope is steeper and the line is shifted downwards.

The y-intercept is shifted downwards.

Step-by-step explanation:

We proceed to demonstrate the transformation from the line A to line B:

1) [tex]y = x + 2[/tex] Given.

2) [tex]y = 3\cdot x + 6[/tex] Vertical dilation.

3) [tex]y = 3\cdot x +1[/tex] Vertical shift of the line in 5 units in the -y direction/Result

Hence, the answer is:

The slope is steeper and the line is shifted downwards.

The y-intercept is shifted downwards.

Step-by-step explanation:

diameter(d): 18

radius(r): 18 ÷ 2 = 9

area of a semi-circle:

[tex]\frac{\pi {r}^{2}}{2}[/tex]

[tex]= \frac{\pi \times 9 \times 9}{2} = 127.23[/tex]

Answer:

Area of the rectangle     = 3x² +2x-1

Perimeter of the rectangle   = 8x

Step-by-step explanation:

Given

length = (3x - 1)

width = (x + 1)

Area of the rectangle= length * breadth

Area of the rectangle = (3x - 1)  (x + 1)

                                      = 3x²+ 3x - x-1

                                        = 3x² +2x-1

Perimeter of the rectangle = 2( length + breadth)

                                         = 2[(3x - 1) + (x + 1)]

                                             = 2[3x - 1 + x + 1]

                                          = 2[ 4x]

                                             = 8x

Answer:

[tex]\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}[/tex]

Step-by-step explanation:

In any triangle, the Law of Sines states that the proportion of the sine of each angle and its opposite side is maintained throughout all 3 angles and their corresponding sides of a triangle:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Thus, we have [tex]\implies \boxed{\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}}[/tex]

Answer:

Step-by-step explanation:

As,

Integers includes whole numbers, and negative of the whole numbers.

And Rationals includes every fraction, Integers and negative fraction.

So,

170, -25, and 74 are both Integers and Rationals.

But,

Only 3/10 is a fraction included only in rationals and not in Integers

Answer:

x=10 y=90 z=20

Step-by-step explanation:

Area of square A = 16 cm

side of square A a1 = 4cm

side of square A = 2/3(2/3a3)

a1= 4/9a3

a3 = 9cm

Area of square C = 9×9= 81 Cm²

Answer:

Step-by-step explanation:

All this question is asking you to do is distribute through the parenthesis to simplify. Doing that gives us

f(n) = 7 - 3n + 3 and

f(n) = 10 - 3n or

f(n) = -3n + 10, choice D.

The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10 thus option (D) is correct.

An arrangement known as a function connects inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

As per the given,

a_n = 7 - 3(n - 1)

f(n) = 7 - 3n + 3

f(n) = -3n + 10

Hence "The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10".

For more about the function,

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Answer:

D i think sorry if it's wrong

Step-by-step explanation:

Sarah read 30 pages of the book

Answer:

7

Step-by-step explanation:

each way from 10 to 7 is 3 and 4 to 7 is 4

Answer:

c and d

Step-by-step explanation:

Answer:

30 cubic feet

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Height of cone (h) = 10 feet

Base surface area = π[tex]r^{2}[/tex] =  9 sq. feet

So we can calculate the volume of cone by using following formula,

volume of cone = (1/3)π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

Volume of cone = (1/3) 9 × 10

= 3 × 10

= 30 cubic feet

Answer:

-1.2

Step-by-step explanation:

3n + 5 = 1/2(11n + 16)

3n + 5 = 5.5n + 8

5 = 2.5n + 8

-3 = 2.5n

-3/2.5 = n

-1.2 = n

Hope this helps!

Answer:

[tex]n=-1.2[/tex]

Step-by-step explanation:

First, solve both sides of the equation:

[tex]3n+5=\frac{1}{2} (11n+16)[/tex]

[tex]3n+5=(\frac{1}{2} )(11n)+(\frac{1}{2} )(16)[/tex] (Distribute)

[tex]3n+5=\frac{11}{2} n+8[/tex]

Then, subtract 11/2 n from both sides:

[tex]3n+5-\frac{11}{2}n=\frac{11}{2} n+8-\frac{11}{2} n[/tex]

[tex]\frac{-5}{2}n+5=8[/tex]

Now, subtract 5 from both the sides:

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

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

For the last step, multiply both the sides by 2 / -5

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

[tex]n=\frac{-6}{5}[/tex]

Convert it to decimal:

[tex]n=-1.2[/tex]

Given:

Total cheese = 12 pound

Cheese in each package = [tex]\dfrac{1}{2}[/tex] pounds

To find:

The number of cheese packages.

Solution:

We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.

[tex]\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}[/tex]

[tex]\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}[/tex]

[tex]\text{Number of cheese packages}=12\times \dfrac{2}{1}[/tex]

[tex]\text{Number of cheese packages}=24[/tex]

Therefore, there are 24 number of cheese packages.

Answer: The answer to this is 7.

H² = B² + P²

(25)² = (24)² + p²

625 = 576 + p²

p² = 49

p = 7

[tex] \huge\mathfrak{ \underline{Answer : }}[/tex]

The equation of line is

[tex] \hookrightarrow \: y= 4x + 7 [/tex]

let's plug the value of " x as 0 " to find the coordinate of y at the " x - intercept "

therefore, the coordinates of x- intercept are :

[tex] \large \boxed{(0,7)}[/tex]

now, let's plug the value of " y as 0 " to find the coordinate of x at the " y - intercept "

therefore, the coordinates of y - intercept are :

[tex] \boxed{ \bigg( \frac{ - 7}{4} ,0 \bigg)}[/tex]

___________________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

22 ft³

Step-by-step explanation:

Applying,

V = 1/3(Ah).................... Equation 1

Where V = Volume of the pyramid, A = Area of the base, h = height of the pyramid.

But,

A = 1/2bl................ Equation 2

Where b = base of the triangle. l = height of the triangle.

Substitute equation 2 into equation 1

V = 1/6(blh).............. Equation 3

From the diagram,

Given: b = 3 ft, l = 4 ft, h = 11 ft

Substitute these values into equation 3

V = 1/6(3×4×11)

V = 1/6(132)

V = 22 ft³

Answer:

152

Step-by-step explanation:

All segments in a triangle add to 180. 1

8+10+x=180

x=152

The length x using Pythagoras theorem is 15 unit.

According to the Pythagorean theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.

Given:

Hypotenuse = 18 unit

Perpendicular = 10 unit

using Pythagoras theorem

H² = P² + B²

18² = 10² + B²

324 = 100 + B²

324 - 100 = B²

B² = 224

B= 14.966 unit

B= 15 unit

Thus, the measure for x is 15 unit.

Learn more about Pythagoras theorem here:

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Answer:

1809.6

Step-by-step explanation:

Volume of a cylinder

V= pie* r ^2*h

Answer:

v = 1,809.56

Step-by-step explanation:

Formula=

V = Pi (3.14) r^2 h

pi 6^2·16

Answer:

It means goes up by twos for example 2,4,6,8 all those numbers increase by 2s.

Step-by-step explanation:

Answer:

4374

Step-by-step explanation:

Since, we are given table for x and y values

and table for average rate of changes

we can see the pattern of average rate of change

average rate of change for 5 to 6 is three times average rate of change for 4 to 5

but we have to find

average rate of change for 7 to 8

so, using same pattern

average rate of change for 6 to 7 is three times average rate of change for 5 to 6

average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)

so, we can plug value

average rate of change for 7 to 8 is 3*3*486

average rate of change for 7 to 8 is 4374

Answer:

-8

Step-by-step explanation:

f(x) = 3x + 4

substitute -4 in place of x

f(-4) = 3*-4 + 4

f(-4) = -12 + 4

f(-4) = -8

Answer:

5.50 Each

Step-by-step explanation:

Answer:

Step-by-step explanation:

3P + 4N = 28

6P+ 8N = 56

4P +8N  52

2P     = 4

P = 4/2 = 2  = $2

3(2)+4N = 28

4N = 28-6=22

N = 22/4 = 5.5= $5.50= cost of one notebook

Answer:

1=65+72

=137 degrees,,,

Answer:

lateral surface area(As)=2πrh or

=PH

Step-by-step explanation:

hope this helps :)

Answer:

(0,3)

Step-by-step explanation:

In this case the vertex is the maximum point of the parabola

vertex : (0,3)

Answer:

Step-by-step explanation:

1. When two chords intersect each other inside a circle, the products of their segments are equal. ... One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

2. If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .

3. The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.