Look at the image below.

Find the area of the parallelogram.

Answer:

y = 2x + 3

Step-by-step explanation:

Hi there!

We are given the points (-1, 1) and (3,9) which belong to a line

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points before we start, to avoid confusion and mistakes

[tex]x_1 = -1\\y_1=1\\x_2=3\\y_2=9[/tex]

Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{9-1}{3--1}[/tex]

Simplify

m=[tex]\frac{9-1}{3+1}[/tex]

m=[tex]\frac{8}{4}[/tex]

Divide

m = 2

The slope of the line is 2

We can substitute this as m in y=mx+b.

y = 2x + b

Now we need to find b

As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.

Taking (3, 9) for example:

substitute 3 as x and 9 as y.

9 = 2(3) + b

Multiply

9 = 6 + b

Subtract 6 from both sides

3 = b

Substitute 3 as b in the equation

y = 2x + 3

Hope this helps!

Topic: finding the equation of the line

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The complete statement is 67000 pounds is equivalent to 33.5 tons

The unit is given as:

Weight = 67000 pounds

As a general rule;

1 pound = 0.0005 tons

Multiply both sides by 67000

67000 * 1 pound = 67000 *  0.0005 tons

Evaluate

67000 pounds = 33.5 tons

Hence, 67000 pounds is equivalent to 33.5 tons

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Answer:

Step-by-step explanation:

[tex]sin^2({ \theta})+cos^2({ \theta})=1\\cos({ \theta})=-/+\sqrt{1-sin^2({ \theta})} \\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} \\ --- > sin({ \theta})=\frac{1}{3} (known)\\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} =-\sqrt{1-(-\frac{1}{3})} =-\sqrt{\frac{9-1}{9}} =-\frac{2x^{2} }{3}[/tex]

The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20

We are given the formula for a sequence as;

aₙ = -5(n² + 1n)

Where n is the position of the term.

Now, for the first term, we will have;

a₁ = -5(1² + 1(1))

a₁ = -10

The second term of the sequence is;

a₂ = -5(2² + 1(2))

a₂ = -20

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Answer:

B

is the write I think ......!

Answer:

-3x+9y=-57

Substitute the x for 4

-3(4)+9y=-57

-12+9y=-57

Add +12

-12+9y=-57

+12 +12

9y=-45

Now divide the 9 to get y by itself

9y=-45

÷9 ÷9

y=-5

So the value of y is -5

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Answer:for area you times them and for perimiter you add

Step-by-step explanation:

hope you understand

Answer:30.28 cm^2

Step-by-step explanation: area of the rectangle = 6x4 = 24

area of semicircle -> (πr^2)/2

radius of semcircle = 4/2 = 2

area of this question semicricle = (π2^2)/2

= 6.28 (3 s.f.)

total area = 24+6.28 =30.28 cm^2

remember put units ^^

Answer:

[tex]x(3x-7)=3x^2-7x[/tex]

Step-by-step explanation:

[tex]\Large \begin{array}{| c | c | c |}\cline{1-3} \textsf{x} & 3x & -7\\\cline{1-3} x & 3x^2 & -7x\\\cline{1-3}\end{array}[/tex]

[tex]\textsf{Therefore,}\quad x(3x-7)=3x^2-7x[/tex]

Using it's concept, it is found that the desired probability is given as follows:

P(the recipient is male) = 0.4242 = 42.42%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there was a total of 224 + 387 + 547 + 776 + 245 + 322 = 2501 recipients, out of which 224 + 547 + 245 = 1016 are males, hence the probability is given by:

P(the recipient is male) = 1016/2501 = 0.4242 = 42.42%.

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Answer:

Step-by-step explanation:

In the question, it is given that a right cone has a diameter of 12 units and volume of 168π units³ and we have to find the height of the cone.

[tex] \: [/tex]

To Find the height of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi r^2h ={ Volume_{(cone) }}}}}}}}} \\ \\[/tex]

Where,

Now, we will substitute the values in the formula :

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times (6)^2 \times h = 168 \pi}}}}}}} \\ \\[/tex]

Cancelling π from both sides we get :

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times 36 \times h = 168 \cancel\pi}}}}}}} \\ \\[/tex]

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \ \times 36 \times h = 168 }}}}}}} \\ \\[/tex]

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{36}{3} \times h = 168 }}}}}}} \\ \\[/tex]

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { 12 \times h = 168 }}}}}}} \\ \\[/tex]

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { h = \frac{168}{12} }}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h ={14 }}}}}}}} \\ \\[/tex]

Therefore,

Answer:

$2.5/card

Explanation:

Unit price is the price for buying one item.

Here given:

Unit price :-

Answer: h₁ = ~2790.9943 meters tall

Step-by-step explanation:

[tex]h_1 = h_2 + h_3[/tex]

h₂

h₃

h₁

Answer:

$50.40

Step-by-step explanation:

20% of 63 is 12.5 so subtract that from the price of 63 for the answer of 50.4

Answer:

x = 18

Step-by-step explanation:

[tex]\sf x - 3x+9= - 27[/tex]

Let's first combine like terms.

[tex] \sf - 2x+9= - 27[/tex]

Subtract 9 from both sides.

[tex]\sf - 2x= - 27 - 9[/tex]

[tex] \sf - 2x= - 36[/tex]

Divide both sides by −2.

[tex]\sf x=18[/tex]

Answer:

HI = 35

GK = 45

JK = 25

Provided:

Given proportional sides:

Find the scale factor:

Find missing sides:

1) HI = ZV × 5/6 = 42 × 5/6 = 35

2) GK = XY × 5/6 = 54 × 5/6 = 45

3) JK = WX × 5/6 = 30 × 5/6 = 25

Answer:

HI = 35

GK = 45

JK = 25

Step-by-step explanation:

If VWXYZ ~ IJKGH

Then:

YZ and GH is the only pair of corresponding sides for which we have been given the lengths:

YZ = 36  and GH = 30

Therefore,

VWXYZ : IJKGH = 36 : 30 = 6 : 5

Find HI

  ZV : HI = 6 : 5

⇒ 42 : HI = 6 : 5

⇒ 42/HI = 6/5

⇒ 42 · 5 = 6 HI

⇒ HI = 210/6

⇒ HI = 35

Find GK

   YX : GK = 6 : 5

⇒ 54 : GK = 6 : 5

⇒ 54/GK = 6/5

⇒ 54 · 5 = 6 GK

⇒ GK = 270/6

⇒ GK = 45

Find JK

   WX : JK = 6 : 5

⇒ 30 : JK = 6 : 5

⇒ 30 /JK = 6/5

⇒ 30 · 5 = 6 JK

⇒ JK = 150/6

⇒ JK = 25

The interval for the function to be negative will be (-∞<x<-7).

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here we have a function:-

g(x) = ∛(x+6)

If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-

(-∞<x<-7).

Therefore interval for the function to be negative will be (-∞<x<-7).

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Answer:

(–∞, –6)

Step-by-step explanation:

I got it right on exam.

0.8%

first we divide 4÷500×100

the we get 0.8%

Answer:

This is so easy it's 0.8%

Step-by-step explanation:

I barely pay attention in class but this is easy work

hope it helps anyways!

p.s i am in k12 sooo ^_^

[tex]y = \sqrt[3]{x - 8} [/tex]

When translating the function in the positive x direction, we have to subtract the value from x

Answer:

2(-2)-5(-2)+12

-4-(-10)+12

6+12

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

2(-2)-5(-2)+12

-4+10+12

=18

Hope this helps! ;-)

When you distribute, you independently multiply each term inside the parentheses by the term outside the parentheses.

So

6 x 7 = 42

and

6 x -4n = -24n

So the final answer is: 42 - 24n

*You cannot combine this answer any further since you are subtracting an unknown variable (n) from a number.

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify following

Solve:

[tex]\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]

[tex]\rightarrow \sf S \infty \ =4[/tex]

The sum of this infinity series is 4

Answer:

36

Step-by-step explanation:

The angles of the triangle are equal.

Hence, the sides of the triangle must also be equal.

It is an equilateral triangle.

Equating JK and KL :

Finding KL :

All angles are equal means all sides are equal

KL

Answer:

Jeff is 15 years younger than Joe who is 10

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Answer:

81728

Step-by-step explanation:

1 libra tiene 16onz, entonces 16 onz* 1277 dolares =20432*4=81728  

Answer:

68 cups

Step-by-step explanation:

You must divide then multiply the reciprocal

Answer:

  1/3

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...

  rate of change = (f(b) -f(a))/(b -a)

__

For the given function and interval, this is ...

  (log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3

The average rate of change is 1/3.

_____

In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.