Find the slope of the line that is parallel and perpendicular to the following equation.
y + 4 = -3(x +1)

Answer: (Decimal: x = 0.99746…)

Answer:

p/3

Step-by-step explanation:

You can divide both sides by three.

P=3S

----/3

P/3=S

Thus, p/3 is the answer

note:Parallelogram WXYZ not VWXY & I will answer the questions in the image b'cos I don't get your question.

Answers:

a.(i.)Slope of line YZ = 4/5

(ii.)Line adjacent line YZ is line YX,slope of YX =5/4

b.(i.)Length of line YZ =√41 units

 (ii.)Length of line YX =√41 units

c.WXYZ is a rhombus.

Step-by-step explanation:

a.Slope=gradient(m)=(y₂-y₁)/(x₂-x₁)

(i.)m of line YZ=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & Z(-1,3)

(I believe you know what the y₂,y₁,x₂ & x₁ stand for.)

So m=(y₂-y₁)/(x₂-x₁),=(3-(-1))/(-1-(-6) =(4)/(5)=4/5

∴m of line YZ is 4/5

(ii.)m of line YX=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & X(-2,4)

So m=(y₂-y₁)/(x₂-x₁),=(4-(-1))/(-2-(-6) =(5)/(4)=5/4=1.25

∴m of line YX is 5/4

b.(i.)To find the length of line YZ,we have to express it as column vector YZ.

Vector YZ=OZ-OY,Z-Y=(-1,3)-(-6,-1)=(5,4)

Length=√x² plus y²=√5² plus 4²=√25 plus 16=√41 units

∴The length of line YZ is √41 units.

(ii.)To find the length of line YX,we have to express it as column vector YZ.

Vector YX=OX-OY,X-Y=(-2,4)-(-6,-1)=(4,5)

Length=√x² plus y²=√4² plus 5²=√16 plus 25=√41 units

∴The length of line YX is √41 units.

c.WXYZ is a rhombus.

0.4

the reciprocal of 0.4.

it'll be easier if you convert to fraction first, which gives you:

=2/5

then reciprocal:

=5/2

in decimal form= 2.5

Answer:

7290ft^2

Step-by-step explanation:

60*30=1800

then multiply that by 4 because of the 4 rectangle

1800*4=7200

multiply 30*30 to get 90 then add that on

7290

In order to find the value of x, we should add 6 to both sides:-

-6+x=-4

x=-4+6

x=2

Hence, the value of x is 2.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

3.499 cm

Step-by-step explanation:

volume of a cylinder = pi r^2 h

                             500 = pi r^2 (13)

                           sqrt ( 500/(pi * 13) = h =

Using proportions, it is found that 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

A proportion is a fraction of a total amount.

At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:

S = 7.75 x 70 = 542.5

At the bed and breakfast, the mean was of 3.25 guests per night, hence:

B = 3.25 x 70 = 227.5.

The difference is given by:

S - B = 542.5 - 227.5 = 315.

Hence, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: Look at the attachment

Step-by-step explanation:

Answer:

AS 37=1/2 (45+x)

74=45+x

74-45=x

29=x

or

x=29

ANSWER

ANS= B.29

I believe the answer is 8x+2

Answer:

B, the answer is B or C believe me

Step-by-step explanation:

Answer:

good and how do you forget wut H is?

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

On cross multiplying,

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]

Cross multiply:

[tex]\implies 3(3x+5)=1(2x+1)[/tex]

Expand brackets:

[tex]\implies 9x+15=2x+1[/tex]

Subtract [tex]2x[/tex] from both sides:

[tex]\implies 9x+15-2x=2x+1-2x[/tex]

[tex]\implies 7x+15=1[/tex]

Subtract 15 from both sides:

[tex]\implies 7x+15-15=1-15[/tex]

[tex]\implies 7x=-14[/tex]

Divide both sides by 7:

[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]

[tex]\implies x=-2[/tex]

Delete the comma if needed

================================================

Explanation:

The exponent of 5 means we move the decimal 5 spots to the right.

This has us go from 7.23 to 723,000

If the exponent was negative, then we'd move that amount to the left.

The number of squares needed to make nth figure in the pattern is

S(n) = 2ⁿ.

A square is "a shape that has four sides of the same length and the four angles of right angles".

According to the question,

S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........

S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ

In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.

Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.

Learn more about squares here

https://brainly.com/question/8954712

#SPJ2

The number of squares needed to make nth figure in the pattern is

S(n) = 2ⁿ.

According to the question,

S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........

S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ

In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.

Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.

Answer:

0.5

Step-by-step explanation:

To convert a percentage into a decimal you divide by 100 :

50% ÷ 100 = 0.5

Hope this helped and brainliest please

Answer: 0.5

Step-by-step explanation: 50/100

Answer:

4 markers left

Answer:

4 markers

Step-by-step explanation:

108/8=13.5

13x8=104

108-104=4

Answer:

260 cm²

Step-by-step explanation:

A=b×h

A=b×h=20·13=260

Step-by-step explanation:

solution

b=20 cm

h =13 cm

Area (a) = b ×h

a=20cm ×13 cm

so , a =260 cm square

3/5 + 1/2

= 6/10 + 5/10

= 11/10

= 1(1/10)

= 1.10

Answer:

Associative property

Step-by-step explanation:

Sine the () was moved to another two numbers, it would be the Associative property of addition

Hope this helps :)

Check the picture below.

now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]

Answer:

88 m²

Step-by-step explanation:

Formula

Given :

Solving :

Answer:

[tex] \frac{3 \times 10}{1 \times 10} [/tex]

And

[tex] \frac{4 \times 10}{1 \times 10} [/tex]

[tex] = \frac{30}{10} \: and \: \frac{40}{10} [/tex]

[tex] \frac{31}{10} \frac{32}{10} \frac{33}{10} \frac{34}{10} \frac{35}{10} \: and \: \frac{36}{10} [/tex]

Step-by-step explanation:

these are the six rational numbers between 3 and 4

Answer:

[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}[/tex]

Step-by-step explanation:

Write 3 and 4 as rational numbers with a common denominator.

Common denominator = common multiple = 12

[tex]\implies 3=\dfrac{3 \times 12}{12}=\dfrac{36}{12}[/tex]

[tex]\implies 4=\dfrac{4 \times 12}{12}=\dfrac{48}{12}[/tex]

Therefore, the rational numbers between them with a denominator of 12 are:

[tex]\dfrac{37}{12}, \dfrac{38}{12}, \dfrac{39}{12}, \dfrac{40}{12}, \dfrac{41}{12}, \dfrac{42}{12}, \dfrac{43}{12}, \dfrac{44}{12}, \dfrac{45}{12}, \dfrac{46}{12}, \dfrac{47}{12}[/tex]

Reduced to their simplest form:

[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}, \dfrac{43}{12}, \dfrac{11}{3}\dfrac{15}{4}, \dfrac{23}{6}, \dfrac{47}{12}[/tex]

**There are many, many more rational numbers between 3 and 4 that we could find by changing the denominator**

Answer:

[tex] \frac{9}{2} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div \frac{1}{6} [/tex]

[tex] \frac{3}{4} \times \frac{6}{1} [/tex]

[tex] \frac{18}{4} [/tex]

[tex] \frac{9}{2} [/tex]

Divide fractions:-

[tex]\displaystyle\frac{3}{4} :\frac{1}{6}[/tex]

Multiply the 1st fraction times the reciprocal of the 2nd fraction (flop the second fraction over) :-

[tex]\displaystyle\frac{3}{4} *\frac{6}{1} =\frac{3*6}{4*1}=\frac{18}{4}[/tex]

[If necessary, divide the top & bottom by 2, and you'll have 9/2]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:The answer should be 1504 if i did it corectly

Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208

the other size would have to be 9 * 8 * 18 which you should get 1296

then to get the total you just need to add together the two sums 208+1296 which should equal 1504.

Answer:

4 ft

Step-by-step explanation:

So to calculate the volume of a triangular prism, the formula is 4ft

Step-by-step explanation:

volume of prism = area of triangle * length

                            = 1/2*4*8*37

                            = 592ft^3

The experimental probability of a blue outcome is its likelihood

The experimental probability of blue is 0.4

The number of trials is given as:

Trials = 5

The outcomes of blue is given as:

Blue = 2

The experimental probability of obtaining a blue outcome is:

P(Blue) = Blue/Trials

This gives

P(Blue) = 2/5

Evaluate the quotient

P(Blue) = 0.4

Hence. the experimental probability of blue is 0.4

Read more about probability at:

https://brainly.com/question/251701