What is the equation of the line that passes through the given pair points in slope-intercept form?
a. (2, 5.1) and (−1, −0.5)
b. (−2, 3) and (3, −4)

Answer:4b +1b + 3 =5b + 3

Step-by-step explanation:add 1b to 4b will give you 5b plus the 3

Answer:

4b+1b+3=5b+3

Step-by-step explanation:

D) 8.7lbs

Subtract $2.50 from the total cost, because that's a fixed number, then do more math and boom, just like magic, it's solved.

Answer:

8.7 pounds

Step-by-step explanation:

7.29 = 2.5 + 0.55 w

0.55 w = 7.29 - 2.5

0.55 w = 4.79

w = 4.79 / 0.55

w. 8.7

Answer:

The perimeter of the polygon = 18 units

The area of the polygon will be [tex]A=18[/tex] square units

Step-by-step explanation:

Computing the Perimeter of the Polygon:

Considering the polygon with vertices

As the polygon is drawn in coordinate plane as shown in figure a.

From the attached figure a, we can observe that

So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.

The perimeter of the polygon = [tex]WZ + ZY + WX + XY[/tex]

                                                  = 3 + 6 + 6 + 3

                                                  = 18 units

Computing the Area of the Polygon:

Area can be calculated by multiplying the length and width of the polygon.

[tex]A=lw[/tex]

So, the area will be:

[tex]A=lw[/tex]

[tex]A=(3)(6)[/tex]

[tex]A=18[/tex]

Therefore, the area of the polygon will be [tex]A=18[/tex] square units

Keywords: area, perimeter, polygon

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Step-by-step explanation:

[tex]C(x)=4x^2-3\\\\C(0),\ C(-1),\ C(-2),\ C\left(-\dfrac{3}{2}\right)\\\\\text{Substitute each value}\ \left\{0, -1, -2, -\frac{3}{2}\right\}\ \text{instead}\ C(x):\\\\C(0)=4(0^2)-3=4(0)-3=0-3=-3\\\\C(-1)=4(-1)^2-3=4(1)-3=4-3=1\\\\C(-2)=4(-2)^2-3=4(4)-3=16-3=13\\\\C\left(-\dfrac{3}{2}\right)=4\left(-\dfrac{3}{2}\right)^2-3=4\left(\dfrac{9}{4}\right)-3=9-3=6[/tex]

Answer:

73

Step-by-step explanation:

Answer:

To do this you want to plug 3 in for d, so your equation will look like this

7(3)^2+10

In the order of PEMDAS you want to do exponents first, because there is no parentheses.

7*9+10 (3^2=9), next you want to multiply

63+10, lastly you want to add

63+10=73

73

Hope this helps ;)

The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = [tex]\frac{Diameter}{2}=\frac{10}{2}[/tex]

Radius of sphere = 5 inches

Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]

V = [tex]\frac{4}{3}\pi (5)^3[/tex]

[tex]V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi[/tex]

The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.

Keywords: volume, division

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Answer:

500/3 pi

Step-by-step explanation:

i took le quiz  :)

Answer:

Step-by-step explanation:

48.75

Answer:

$10.0

Step-by-step explanation:

We are given;

We are required to determine the price per dozen;

Therefore;

Thus;

3 muffins = $2.50

12 muffins = (12 ÷ 3) × $2.5

                 = 4 × $2.50

                 = $10.0

The Price of a dozen is thus $10.0

Volume of piece candy is 113.04 cubic centimeter

Solution:

A student bought a piece of hard candy that is in the shape of a sphere

The candy has a radius of 3 centimeters

Radius = 3 cm

Use 3.14 for π

Volume of sphere is given as:

[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]

Where, "r" is the radius of sphere

Therefore, volume of candy is given as:

[tex]V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04[/tex]

Thus volume of candy is 113.04 cubic centimeter

Answer:

1344cm^2

Step-by-step explanation:

Semi perimeter:

S = (a+b+c)/2

S=(56+60+52)/2

S=168/2

S=84

Area:

A=root S(S-56)(S-60)(S-52)

A=root 84(84-56)(84-60)(84-52)

A=root 84(28*24*32)

A=root 84(21504)

A=root1806336

A=1344cm^2

Answer:

Step-by-step explanation:

[tex]s=\frac{a+b+c}{2}=\frac{56+60+52}{2}=\frac{168}{2}=84 cm\\\\s-a=84-56=28 cm\\s-b=84-60=24 cm\\\\s-c=84-52=32 cm\\\\Area=\sqrt{s*(s-a)(s-b)(s-c)} \\\\=\sqrt{84*28*24*32}=\sqrt{7*12*7*4*12*2*4*2*2*2}\\\\=7*12*4*2*2=1344 sq.cm[/tex]

Answer:

5.291502622129 (feel free to round if needed)

the geometric mean of 2 and 14 is 2√7.

A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given two  numbers whose geometric mean needed to calculate

From the formula of Geometric mean

GM = [tex]\sqrt[n]{x_{1} x_{2} x_{3} ....x_{n} }[/tex]

Where GM = geometric mean

n = number of values

Xi = values to average

Thus,

GM = √(2 *14)

GM = 2√7

therefore,  the geometric mean of 2 and 14 is 2√7.

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Answer:

  ... divisible by 4

Step-by-step explanation:

Since 100 is divisible by 4, but 10 is not, any multiple of 100 will be divisible by 4. So to check for divisibility by 4, we need to look at the last two digits.

If the last two digits are divisible by 4, the number will be divisible by 4.

_____

A number divisible by 4 will look like one of ...

  {odd}{2, 6}

  {even}{0, 4, 8}

Answer:

16ft

Step-by-step explanation:

18×2=36. 68-36=32. 32÷2=16

Because the equation has an [tex]\boxed{\text{exponent of 2}}[/tex], it [tex]\boxed{\text{cannot}}[/tex] be written in the form y = mx+b

When the equation is graphed, the rate of change between different pairs of coordinates on the graph [tex]\boxed{\text{varies}}[/tex] so the graph of the equation is a [tex]\boxed{\text{curve}}[/tex]

Therefore, the equation represents a [tex]\boxed{\text{nonlinear}}[/tex] function.

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So in short, y = 9x^2+19 is not linear because it graphs out a curve that isn't a straight line.

More info: The equation y = 9x^2+19 is a quadratic function as the exponent of 2 is the largest exponent. The degree is 2 for the same reason. A parabola will be graphed in this case, which is a curved bowl-like shape. The lowest point of this parabola is at (0,19) which is also the y intercept. There are no x intercepts as this parabola is entirely above the x axis and it goes on forever upward. See the diagram below for the graph of y = 9x^2+19.

The equation y=9x²+19 represents a nonlinear function because it has an exponent of 2, which means it cannot be written in the linear form of y=mx+b. The graph of this equation is a curve, indicating a varying rate of change unlike a straight line which indicates a linear function.

The given equation is y=9x²+19. Because the equation has an exponent of 2, it cannot be written in the form y=mx+b, which is the standard form of a linear equation. In linear function, the highest exponent is 1.

When the equation is graphed, the rate of change between different pairs of coordinates on the graph varies. So, the graph of this equation forms a curve. Linear functions have constant rates of change and their graph is a straight line.

Therefore, given the criteria, the equation y=9x²+19 represents a nonlinear function.

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The location of point A of the number line will be at 2 ¹/₃.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The section between the numbers 2 and 3 will be 3.

The location of point A is given as,

⇒ 2 + 1/3

Convert the expression into a mixed fraction number. Then we have

⇒ 2 + 1/3

⇒ 2 ¹/₃

The location of point A of the number line will be at 2 ¹/₃.

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Answer: i think 4x4/8

Step-by-step explanation:

Answer:first one

Step-by-step explanation:4 2/8

Just watched like 3 vids on multiplying unit fractions by whole numbers

Answer:

Given that AC ≅ BC, the sides are of equal measures.

CD is a side in both ΔACD and ΔBCD, so the side is equal in both triangles.

Given that CD if the bisector of ∠ACB, the two angles produced are equal: ∠ACD ≅ ∠BCD.

∠ACB is contained between AC and CD in ΔACD. ∠ACB is contained between BC and CD in ΔBCD.

Therefore by the SAS postulate, ΔACD ≅ ΔBCD.

Step-by-step explanation:

The SAS postulate says that if two triangles have a contained angle between two sides that are known to be equal in the other triangle, then the triangles are congruent.

Prove that two sides are equal, then prove that an angle that is between those two sides is also equal.

Answer:

The addition of given fractions is [tex]\frac{11}{12}[/tex]

Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]

Step-by-step explanation:

Given fractional expression is [tex]\frac{1}{4}+\frac{2}{3}[/tex]

To find the addition of given fractions :

Adding the given fractions we get

[tex]\frac{1}{4}+\frac{2}{3}[/tex]

[tex]=\frac{1(3)+2(4)}{12}[/tex] ( here taking 12 as LCM )

[tex]=\frac{3+8}{12}[/tex]

[tex]=\frac{11}{12}[/tex]

Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]

The addition of given fractions is [tex]\frac{11}{12}[/tex]

Answer:

The simplified expression to the given expression is

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]

To simpify the given expression :

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]

[tex]=\frac{9x^4y^{-7}z}{2x^9y^4z^{-5}}[/tex]

[tex]=\frac{9x^4y^{-7}zx^{-9}y^{-4}z^5}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]=\frac{9x^4.x^{-9}y^{-7}y^{-4}z.z^5}{2}[/tex]

[tex]=\frac{9x^{4-9}y^{-7-4}z^{1+5}}{2}[/tex] ( using the property [tex]a^m.a^n=a^{m+n}[/tex] )

[tex]=\frac{9x^{-5}y^{-11}z^{6}}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]=\frac{9z^6}{2x^5y^{11}}[/tex]

Therefore [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Therefore the simplified expression to the given expression is

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Answer:

If you are looking for the answer, it would be 3. If you are looking for the expression evaluated, it would be 4-(1^2) I think.

Step-by-step explanation:

Answer: First option.

Step-by-step explanation:

Below are some transformations for a function [tex]f(x)[/tex]:

1. If [tex]f(x)+k[/tex], the function is shifted "k" units up.

2 If [tex]f(x)-k[/tex], the function is shifted "k" units down.

3. If [tex]f(x-k)[/tex], the function is shifted "k" units right.

4. If [tex]f(x+k)[/tex], the function is shifted "k" units left.

5. If [tex]-f(x)[/tex], the function is reflected over the x-axis.

6. If [tex]f(-x)[/tex], the function is reflected over the y-axis.

Then, given the parent function [tex]f(x)[/tex]:

[tex]f(x)=2^x[/tex]

And knowing that the the other function is:

[tex]g(x)=-2^{(x+4)}-2[/tex]

You can identify that the function [tex]g(x)[/tex] is obtained by:

- Shifting the function [tex]f(x)[/tex] 4 units left.

-  Reflecting the function  [tex]f(x)[/tex] 4 over the x-axis.

- Shifting the function [tex]f(x)[/tex] 2 units down.

Answer:

A is correct

Step-by-step explanation:

Answer:

The answer is: letter A, Peacefulness

Explanation:

Mary Shelley is the author of the book entitled, "Frankenstein." The story of the book centers on "Victor Frankenstein," a scientist and his monster creation.  This creation of his, later on, asked for a female companion by threatening him. Victor, reluctantly, agreed on this under the monitoring of the creature. In the end of the story, Victor and his men in the ship were trapped in ice.

While Victor was on his journey to Geneva after his brother (William Frankenstein) died, he spoke in the passage above, "I contemplated the lake; the waters were placed; all around was calm, and the snowy mountains, 'the palaces of nature,' were not changed." This made him think how much nature brings peace to his soul that even after turmoil, he felt comforted by nature. Although he dreads to go back, the thought of the calm nature made him continue his journey.

Thus, this explains the answer, "Peacefulness."

Answer:

3, 6, 9

Step-by-step explanation:

When changing a fraction to a decimal, you divide the numerator by the denominator. For EX.

1/3= 1 divided by 3

1 divided by 3 is 0.3333333333333

1/6

1 divided by 6 is 1.6666666666666

1/9

1 divided by 9 is 0.1111111111111111111111

Answer:hahah

Step-by-step explanation:Hahha

(3 + -8 / 2,7 + -10 / 2)

(-5/2,-3/2)

Hope this helps! ;)

Answer:

7/12

Step-by-step explanation:

1 is equivalent to 4/4.

3/4 + 4/4 = 7/4.

After converting 1 and 3 quarters to a mixed number, multiply the top two numbers and bottom two numbers.

7 * 1 in the numerator and 3 * 4 in the denominator gets you 7/12.

Answer:

Step-by-step explanation:

[tex]1\frac{3}{4}*1\frac{1}{3}=\frac{7}{4}*\frac{4}{3}\\\\=\frac{7}{3}=2\frac{1}{3}[/tex]

Answer:1300

Step-by-step explanation:

in a week =25$

a year has 52wks

so...52×25=1300$in a year

Answer:

$1300

Step-by-step explanation:

$25 / week

52 weeks per year

52($25) = $1300

Hope this helps :)

Answer:

5 shirts for $21

Step-by-step explanation:

25.50÷6= 4.25

18.00÷4= 4.50

21.00÷5= 4.20

Answer:

C

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 )

Here m = [tex]\frac{1}{4}[/tex] and c = - 1, thus

y = [tex]\frac{1}{4}[/tex] x - 1 → C