What is the equation of the line with a slope of
−
1
4
and a y-intercept of –3?

A.
y
=
−
3
x
+
1
4

B.
y
=
−
1
4
x
+
3

C.
y
=
−
1
4
x
−
3

D.
y
=
−
3
x
−
1
4

[tex]y = \frac{x}{2} [/tex]

[tex]2x + 2y = \sqrt{180} \\ = > 2x + 2( \frac{x}{2} ) = \sqrt{180} \\ = > 2x + x = \sqrt{2 \times 2 \times 3 \times 3 \times 5} \\ = > 3x = 2 \times 3\sqrt{5} \\ = > 3x = 6 \sqrt{5} \\ = > x = \frac{6 \sqrt{5} }{3} \\ = > x = 2 \sqrt{5} [/tex]

[tex]x.y \\ = x \times \frac{x}{2} \\ = \frac{ {x}^{2} }{2} \\ = \frac{ {(2 \sqrt{5} )}^{2} }{2} \\ = \frac{4 \times 5}{2} \\ = \frac{20}{2} \\ = 10[/tex]

Answer:

10

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

b

Step-by-step explanation:

Given

2x + 2y = [tex]\sqrt{180}[/tex] = [tex]\sqrt{36(5)}[/tex] = 6[tex]\sqrt{5}[/tex]

and y = [tex]\frac{x}{2}[/tex] , then

2x + (2 × [tex]\frac{x}{2}[/tex] ) = 6[tex]\sqrt{5}[/tex]

2x + x = 6[tex]\sqrt{5}[/tex]

3x = 6[tex]\sqrt{5}[/tex] ( divide both sides by 3 )

x = 2[tex]\sqrt{5}[/tex]

and y = [tex]\frac{2\sqrt{5} }{2}[/tex] = [tex]\sqrt{5}[/tex]

Then

xy = 2[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 2 × 5 = 10 → b

Answer: The equation of a line that passes through the point (8,-4) and has a slope of 3 is y = 3x - 28.

Explanation:

y = -4, x = 8

By putting above values in equation (i)

-4 = 3 (8) + b

-4 = 24 + b

-28 = b

b = -28

y = 3x - 28

Answer:

b

Step-by-step explanation:

-8 Is the slope and yintecept is 0,1

Answer:

2 stops, 30 min

Step-by-step explanation:

to figure this out we have to divide B's time by A's time. 30÷15 is 2.

Answer:

i cant see the Q

Step-by-step explanation:

Answer:

n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]

Answer:

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answer:

Less than 100?                                                  YES

Step-by-step explanation:

150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?

"150% of 45 "

150% (45)

1.5*(45) = 67.5      

Less than 100?                                                  YES

Greater than 100 but less than 150               NO

Greater than 150?                                             NO

Step-by-step explanation:

(5a³-2)(5a³+2)

Based on the tip left and its proportion of the total bill, the following answers are true:

A tip of $2.60 was left and this is said to be 20% of the bill including the tax.

The total bill is therefore:

Tip = Total bill x 20%

2.60 = Total bill x 20%

Total bill = 2.60 / 20%

= $13.00

We can see that the tax rate was not needed to compute the total bill.

In conclusion, the tax rate was irrelevant and the total bill was $13.00.

Find out more about taxes and tips in bills at https://brainly.com/question/24976122.

Answer:

A

Step-by-step explanation:

Correct option is A)

Let a 3-digit number ABC

Case (1)

If A=7, then B  and  C can be any digit but not 7

so, total 9 digits (0,1,2,3,4,5,6,8,9) can replace B and C

Then total such combinations =1(9)(9)=81

Case (2)

If B=7  then A can be any digit but not  0 and 7, because if A=0 it will be a 2-digit number.

And C can be any digit but not 7

Then total combinations =(8)(1)(9)=72

Case (3)

If C=7  then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.

And B can be any digit but not 7

Then total combinations =(8)(9)(1)=72

So, total numbers between 99 and 1000 which have exactly one of their digits as 7 are =81+72+72=225

Answer:

-5/6

Step-by-step explanation:

to find the slope between to lines we can subtract the second y by the first y and subtract the second x by the first x and dividing them by each other

(18 - 3) / (-21 + 3)

minusing a negative is basically adding

after subtracting them you get this

15 / -18

then reduce

-5/6

the slope is -5/6

Answer:

blue

Step-by-step explanation:

a b c d e

1 2 3 4 5

27-25=2

so b, or blue

Answer:

50[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The figure represents a 30-60-90 special triangle

in this special right triangle the measure of sides lengths is represented by

a, a[tex]\sqrt{3}[/tex], and 2a

The side length that sees angle measure 30 is represented by a and here we see a = 50m

The height of the building, which sees angle measure 60, is equal to

50[tex]\sqrt{3}[/tex]

10.

In order to find the missing value, we need to divide 173.1, by 17.31:

173.1 / 17.31 = 10

Dividing the product (173.1) by one value in the equation (17.31) can represent what the missing value is, in order for 17.31 to equal 173.1

17.31 · 10 = 173.1

173.1 / 10 = 17.31

Answer:

the answer is X=12 Y=4

Step-by-step explanation:

X is 3 times the amount of Y and also 8 more. 4x3=12 and 12 is 8 bigger than 4

Answer:

B,D,E

Step-by-step explanation:

The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity

From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.

Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Learn more on the limits of a function here: https://brainly.com/question/23935467

Answer:

32

Step-by-step explanation:

area=2(lb+bh+lh)

2(3×2+3×2+2×2)

2(6+6+4)

2(16)

=32

Answer:

hello  you need to tell me the equation not the worksheet

Step-by-step explanation:

There are 23 sharks and 7 octopi in the aquarium

If the total number of animals in the tank is 30, therefore;

If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:

From equation 1, x = 30 - y ................... 3

Substitute equation 3 into 2 to have:

5(30-y) + 8y = 171

150 - 5y + 8y = 171

3y = 171 - 150

3y = 21

y = 7

Recall that x = 30 - y

x = 30 - 7

x = 23

Hence there are 23 sharks and 7 octopi in the aquarium

Learn more on simultaneous equation here: https://brainly.com/question/148035

Answer:

A.24

Step-by-step explanation:

EF=√(25)²-(7)²

EF=√625-49

EF=√576=24

Answer:

The answer should be 72.

Step-by-step explanation:

You're finding the interest earned. I = Prt, I for simple interest, P for principal, r for rate, and t for time.

Substitute p for $800, r for 9%, and t for is 1 year.

You would multiply these three numbers together.

$800(0.09)(1) should give you 72.

Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown.

What transformation did Kim perform to create rectangle A'B'C'D'?

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown.

Transformation involves changing the position of the given shape.

A (1, -2),

B (-1, 5)

C (-3, 5)

D (-3, 2)

A (2, 1),

B (5, 1)

C (5, 3)

D (2, 3)

The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.

And the proof is as follows.

The rule of 270 degrees counterclockwise about the origin is:

The given coordinates;

A (2, 1) - (-1, 2)

B (5, 1) - (-1, 5)

C (5, 3) - (-3, 5)

D (2, 3) - (-3, 2)

Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.

For more details about Rotation refer to the link given below.

https://brainly.com/question/10624834

Answer:

(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.

Step-by-step explanation:

Answer:

5p + 14p= 19p

4 (x-2)+6x

4x-8+6x

10x-8

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

Answer: SAS

Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)

Answer:

Solution given:

weight of moon=1/6 th of Earth

If weight of Earth is 18/5 kg

weight of moon=?

we have

weight of moon: 1/6 of weight of Earth

=1/6*18/5

=3/5kg

Its weight on moon is 3/5 kg