The equation of a straight line can be written in the
form 3x + 2y - 8 = 0.
(a) Rearrange this equation to make y the subject.
(b) Write down the gradient of the line.
(c) Write down the coordinates of the point where
the line crosses the y-axis.
(pls give a full working )

Answer:

We want to rewrite:

q^2 = a*(p^2 - b^2)/p

as a linear equation, in the form:

y = m*x + c

So we start with:

q^2 = a*(p^2 - b^2)/p

we can expand the left side to get:

q^2 = (a/p)*p^2 - (a/p)*b^2

q^2 = a*p - (a/p)*b^2

Now we can ust define:

a*p = c

Then we can replace that to get:

q^2 = -(a/p)*b^2 + c

now we can replace:

q^2 = y

b^2 = x

Replacing these, we get:

y = -(a/p)*x + c

finally, we can replace:

-(a/p) = m

then we got the equation:

y = m*x + c

where:

y = q^2

x = b^2

c = a*p

m = -(a/p)

Answer:

Angle of slice (θ) = 172° (Approx.)

Step-by-step explanation:

Given:

Area of pizza slice = 16 inch²

Total area of pizza = 33.49 inch²

Find:

Angle of slice (θ)

Computation:

Area of circle = [π][r²]

Area of pizza slice = [π][r²]

[π][r²] = 33.49

[3.14][r²] = 33.49

Radius = 3.26 inch (Approx.)

Area of sector = [θ/360][π][r²]

16 = [θ/360][3.14][3.26²]

16 = [θ/360][3.14][10.6276]

16 = [θ/360][33.37]

Angle of slice (θ) = 172° (Approx.)

Answer:

c=82

Step-by-step explanation:

Answer:

The answer is 82!

Step-by-step explanation:

(18)^2 + (80)^2 is 6724, which has a square root of 82.

Answer:

135

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540

3x+3x+2x+2x+2x = 540

12x = 540

Divide by 12

12x/12 = 540/12

x = 45

E = 3x = 3*45 = 135

Answer:

135

Step-by-step explanation:

Answer:

[tex]{7a^{5}b^{5} c\\[/tex]

Step-by-step explanation:

 [tex]\frac{28a^{8}b^{6} c^{3} }{4a^{3}bc^{2} }[/tex]

→ First look at the first term of each expression and see if they can be simplified, and they can

[tex]\frac{7a^{8}b^{6} c^{3} }{a^{3}bc^{2} }[/tex]

→ Now look at the a terms, since a larger one is at the top, you subtract

[tex]\frac{7a^{5}b^{6} c^{3} }{bc^{2} }[/tex]

→ Now simplify the b and c terms

[tex]{7a^{5}b^{5} c[/tex]

if 60 = c,

36 = m and

x is the missing length

c² = x . m

3600 = x . 36

x = 3600/36

x = 100

Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]

[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]

[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

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Answer:

G. 14:5 is the correct answer.

Step-by-step explanation:

a:b = 4:5

a:c = 2:7

so,

here in first ratio a = 4

in second ratio a = 2

making them equal:

Taking LCM of 2 and 4 = 4

so

a:c = 2/7 = (2×2)/(7×2) = 4/14

so,

a = 4

c = 14

b = 5

so ratio c : b = 14:5

2

[tex]\\ \sf\longmapsto 5.5\times 10^3[/tex]

[tex]\\ \sf\longmapsto 55\times 10^4[/tex]

We know

Hence number of significant figures is 2

9514 1404 393

Answer:

  2

Step-by-step explanation:

When a number is written in scientific notation, all of the digits of the mantissa are considered significant. The mantissa is 5.5, which has 2 digits.

There are 2 significant digits in the number.

Answer:

No.

Step-by-step explanation:

They are not correct because the "| |" signs mean absolute value. What ever is inside the signs must be positive. So -9 becomes 9 and 9 is greater than 4. So, the student is not correct.

Step-by-step explanation:

Using Pythagoras theorem:

[tex] = \sqrt{{20}^{2} - {12}^{2} } [/tex]

[tex] = \sqrt{400 - 144}[/tex]

[tex] = \sqrt{256} [/tex]

[tex] = 16[/tex]

Step-by-step explanation:

second: (2.2,-1.4)

third: (2.2,-1.35)

Step-by-step explanation:

hope it helps✨

Answer:

B

Step-by-step explanation:

according to pythagorean

[tex]7^{2} + 24^{2} =x^{2}[/tex] (x>0)

=> [tex]x^{2} =625[/tex]

=>[tex]x=\sqrt{625}[/tex] = 25

Answer:

[tex]Ratio = 7:6[/tex]

Step-by-step explanation:

Given

Initially

[tex]Joe = 12oz[/tex] -- coffee

[tex]JoAnn = 12oz[/tex] -- coffee

Joe drank 2oz coffee; So, we have:

[tex]Joe = 12oz - 2oz[/tex]

[tex]Joe = 10oz[/tex] --- coffee

Joe added 2oz cream; So, we have:

[tex]Joe = 10oz[/tex] --- coffee     [tex]Joe = 2oz[/tex] --- cream

JoAnn added 2oz cream and stirred. So, we have:

[tex]Joe = 12oz[/tex] --- coffee     [tex]JoAnn = 2oz[/tex] --- cream

[tex]Total = 14oz[/tex]

JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:

[tex]JoAnn = \frac{Cream}{Total}[/tex]

[tex]JoAnn = \frac{2}{14}[/tex]

[tex]JoAnn = \frac{1}{7}[/tex]

Amount of cream left is:

[tex]Amount = [1- \frac{1}{7}] *2[/tex]

Take LCM

[tex]Amount = [\frac{7-1}{7}] * 2oz[/tex]

[tex]Amount = \frac{6}{7} * 2oz[/tex]

[tex]Amount = \frac{12}{7}oz[/tex]

So, we have:

[tex]Joe = 2oz[/tex] --- cream

[tex]JoAnn = \frac{12}{7}[/tex] cream

The ratio is:

[tex]Ratio = 2:\frac{12}{7}[/tex]

Multiply by 7

[tex]Ratio = 14:12[/tex]

Divide by 2

[tex]Ratio = 7:6[/tex]

Answer:

C. 5.2 in.

Step-by-step explanation:

Step-by-step explanation:

-5x + 4y > -24

Plot and draw a graph that's it

Answer:

F

Step-by-step explanation:

add all the numbers and divide them by how many numbers there is(in this case 15) to find the average of the prices

Answer:

the first one gat to be x=4

Answer: 17

Step-by-step explanation: :)

Answer:

Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin

Step-by-step explanation:

Given

x - y

5 - 10

10 - 20

15 - 30

Required

Determine if the data are proportional

The dataset is small; so, we can derive the relationship by observation.

By observing the x and y values, the relationship is:

y = 2x --- i.e. multiply x values by 2.

This is further proven by:

y = 2 * 5 = 10

y = 2 * 10 = 20

y = 2 * 15 = 30

y = 2 * 0 = 0 --- the origin

Hence, the dataset is proportional and it passes through the origin.

Answer:

81

Step-by-step explanation:

9x + 100 = 829

9x =829-100

= 729

x = 729/9

x = 81

Answer: x = 81

Step-by-step explanation:

You'd want to isolate x, meaning subtracting 100 on both sides to remove that from the equation. This results in 9x = 729, divide by 9 on both sides to remove that too from the equation and you'd be left with x = 81.

The measure of QS is 11 units.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment QT, where the length of line segment QT refers to the distance between its endpoints, Q and T.

Q_________R___________S_________T

Given that RT= 12

And RS=7

⇒ RT= RS + ST

⇒ ST= RT - RS

⇒ ST= 12-7

Substitute the values of RT and RS,

⇒ ST= 5

⇒ QT= 16

⇒ QR = 16 - RT= 16 - 12 = 4

⇒ QS = QR + RS

Substitute the values of QR and RS,

⇒ QS = 4 + 7=11

⇒ QS = 11

Hence, the measure of QS is 11 units.

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Answer:

-x3+x2+3x+1

Step-by-step explanation:

V(x) + W(x) = -x2 + 2x - 4 + -x3 + 2x2 + x + 5= -x3+x2+3x+1

As we know, The volume of the square prism is twice the volume of the cylinder

To determine the relationship between the volume of the square prism and that of the cylinder, we need to find both volumes.

The volume of the square prism is V = Ah where A is the cross-sectional area and h its height. Since A = 314 square units,

V = 314 × h = 314h

Also, the volume of the cylinder is V = A'h where A' is the cross-sectional area of the cylinder and h' its height. Since the A' = 50π square units,

V' = 50π × h' = 50πh'

The ratio of the volume of the square prism to that of the cylindrical prism is V/V' = 314h/50πh'

Since the height of the square prism equals that of the cylinder, h = h'.

So, V/V' = 314h/50πh .

V/V' = 314/50π

if we take π = 3.14,

V/V' = 314/(50 × 3.14)

V/V' = 100/50

V/V' = 2

So, V = 2V'

Thus, the volume of the square prism is twice the volume of the cylinder.

So, the answer is D.

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Answer:

D. The volume of the square prism is twice the volume of the cylinder.

Step-by-step explanation:

took the test, got it right, comment below if you would like a step by step explanation

Answer:

-6

Step-by-step explanation:

you have to divide both sides by -13

-13x/-13=78/-13

x=-6

remember that the sign also matters.

I hope this helps

Answer:

Step-by-step explanation:

Answer:

the answer is a and ik because I just had the test

Answer:

its 16

Step-by-step explanation:

rotation doesnt effect length

To solve this divide 4565 by 3.

Step-by-step explanation:

pricr of 1 kg powder= 4465/3

=1521.66