Consider the line y =
9
7
x-9.
Find the equation of the line that is parallel to this line and passes through the point (-7, 4).
Find the equation of the line that is perpendicular to this line and passes through the point (-7, 4).

Answers

Answer 1

Answer:

Axis interception points [tex]97x-9[/tex] x intercepts: [tex](\frac{9}{97} ,0),[/tex]Y intercepts:[tex](0,-9)[/tex]

Step-by-step explanation:

Slope of 97x-9 :     m=97

Domain: 97 x - 9

Range: 97 x - 9


Related Questions

100 POINTS + BRAINLEIST

Answers

Answer:The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases. If MN is the midsegment of trapezoid ABCD, then MN || AB, MN || DC, and MN = (AB + CD).

Step-by-step explanation:

Answer:

MN is 1/2 of DC

Step-by-step explanation:

DC= 44

MN= 22

If sin - cos = 0 , then the value of sin^4 + cos^4 is

Answers

Answer:

sinθ-cosθ = 0

sinθ= cosθ

sinθ/cosθ = 1

tanθ = 1

Bu tan45 = 1

So,

tanθ=tan45

θ = 45°

sin45 = 1/√2  cos45 = 1/√2

sin⁴θ+cos⁴θ  = (1/√2)⁴+(1/√2)⁴

                     = 1/4+1/4 = 2/4 = 1/2 = 0.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helped you..................

I need help with this please someone help its due today

Answers

Answer:8

Step-by-step explanation:

2+6=8

Answer:

8 ghdhlhskgslhdlhskgz

Find the value of each variable and the measure of each labeled angle

Answers

The 'x' and 'y' variables and the 4 angles are highlighted in the boxes

If the first two terms of an arithmetic sequence are 3 and 9, what would be the explicit equation for this sequence?

Answers

The explicit equation of the sequence is an = 3 + (n-1)*6

First term = 3

Second term = 9

A series of numbers in mathematics whose each term is always expressed as a, a+d, a+2d, or a+3d. An arithmetic progression is defined as a + (n-1)d, where a is the first term,d is the common difference of the series and n is the number of terms in the sequence

Any two continuous terms in the arithmetic sequence differ by the same number.

Arithmetic sequence is given by an = a + (n-1)d

So, the common difference = 9-3 = 6

a = 3

Substituting the values in the formula we get:

For nth term: an = 3 + (n-1)*6

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amber wants to have $300,000

Answers

Answer:

i hope i can answer your question

Step-by-step explanation:

Amber wants to have $300,000 so i don't see another number that you can solve on maybe type that first so i can answer please

NEED HELP ERGENT!!!
Round
your answer to the nearest tenth of a mile.
Three boats are at sea: Jenny one (J1), Jenny two (J2), and Jenny three (J3). The crew of
J1 can see both J2 and J3. The angle between the line of sight to J2 and the line of sight to
J3 is 45 degrees. If the distance between J1 and J2 is 2 miles and the distance between J1
and J3 is 4 miles, what is the distance between J2 and J3?

Answers

The distance between J1 and J2 is 2.94 miles using cosine rule.

What is cosine rule?

Cosine rule relates to the lengths of the sides of a triangle with any of its angles being a cosine angle. With the help of this rule, we can calculate the length of the side of a triangle or can find the measure of the angle between the sides.

cos x = ([tex]b^{2} +c^{2} -a^{2}[/tex])/2bc

x = 45

b = 4

c = 2

to find a

cos 45 = 4(4) +2(2) - [tex]a^{2}[/tex]/2(4)(2)

1/[tex]\sqrt{2}[/tex] = 16 +4 - [tex]a^{2}[/tex]/16

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

a = 2.94

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Any help can’t get the answer right

Answers

Answer:

-2

Step-by-step explanation:

f(x) = 2x, g(x) = x - 4

f(g(3)) = f(-1) = 2(-1) = -2

What is the constant of proportionality in the equation y=3x, equals, 3, x?
constant of proportionality =equals

Answers

, The constant proportionality is 3

What is Proportionality Constant ?

The proportionality constant is the ratio between two variables that varies directly . For directly proportional variables, their ratio is always a constant and this constant is the proportionality constant.

Now, We have the equation is:

y = 3x

To get the constant of proportionality,

we will derive both sides of the equation by x.

y/x = 3x/x

y/x = 3

Hence, The constant proportionality is 3

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Tea that sells for $2.00 a pound is mixed with a different tea that sells for
$5.00 a pound to produce 40 pounds of a custom blended tea that will
sell for $4.25 a pound. How many pounds of the less expensive tea
should be used in the mixture?
(1) 10
(2) 15
(3) 25
(4) 30

Pls show work

Answers

The pounds of the less expensive tea used in the mixture is 10 pounds.

The correct option is Option(1) 10.

Given:

Price of less expensive tea = $2.00

Price of expensive tea = $5.00

Price of custom-blended tea = $4.25

The total price of 40 pounds of custom blended tea = 40 × $4.25

                                                                                       = $170

Let the pounds of the less expensive tea used in the mixture be x pounds.

So, the pounds of expensive tea = 40-x

Now, the equation is

2x + 5(40 - x) = 170

2x + 200 - 5x = 170

3x = 30

x = 10 pounds

Therefore, there are 10 pounds of less expensive tea.

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What would be the Area in square inches of a rectangle with a length of radial 279 in and a width of radial 31 in
(You do not have put the units in your answer)

Answers

The area of rectangle in square inches is 8649 inches .

What is mensuration ?

The subject of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Mensuration is the name given to the area, volume, and length of various geometric shapes in mathematics. These shapes can be found in either two or three dimensions.

Mensuration is the process of calculating various shape parameters, such as the perimeter, area, and volume, whereas geometry is the study of the characteristics and relationships between the points and lines that make up different shapes.

Calculation

the area of rectangle will be =  length *  width

therefore just substituting the values given in the question

thus ,

area will be = 279 * 31

                    = 8649 square inches

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Need help on this question ASAP On a sunny day, a 3-foot red kangaroo casts a
shadow that is 5 feet long. The shadow of a nearby
eucalyptus tree is 7 feet long. Find the height of the
tree.

Answers

Answer:

i think it is 5 feet

Step-by-step explanation:

i hope this helps

A dice is rolled 2 times. What is the probability of showing a 4 on every roll?

Answers

Since we are rolling a die twice

The possible out come of rolling a die is

[tex]\mleft\lbrace1,2,3,4,5,6\mright\rbrace[/tex]

Therefore, the probability of getting a 4 on every roll is

[tex]P(\text{getting a 4 on every roll) }=P(1st\text{ 4) and P(2nd 4)}[/tex]

From the sample outcome above

P(of 4) = 1/6

Therefore

[tex]\begin{gathered} P(\text{getting a 4 on every roll)}=\frac{1}{6}\times\frac{1}{6} \\ P(\text{getting a 4 on every roll)}=\frac{1}{36} \\ P(\text{getting a 4 on every roll)}=0.0278 \end{gathered}[/tex]

Therefore, thr porbability is 0.0278

Mikki used 18 tea bags to make 4 quarts of
iced tea. How many tea bags did Mikki use for
each quart of iced tea?

Answers

Answer:

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

Step-by-step

4.5

18/4 = 4 r2 she used 4.5 tea bags per quart

There's a roughly linear relationship between the number of times a species of
cricket will chirp in one minute and the temperature outside. For a certain
type of cricket, this relationship can be expressed using the formula
T= 0.27c+ 31, where T represents the temperature in degrees Fahrenheit
and c represents the number of times the cricket chirps in one minute. What
is the meaning of the c-value when T = 77?

Answers

Answer:

B

Step-by-step explanation:

i had the thing 2 days ago lol

Answer:

Step-by-step explanation:

T = 0.27·c + 31

0.27·c = T - 31

c = (T - 31) / 0.27 = (77 - 31) / 0.27 ≈ 170

Answer:

170 times a minute a cricket chirps at 77° F

8. For the following function, state the range.

Answers

Answer: [tex]y \geq 1[/tex]

Step-by-step explanation:

The range of a function is the set of y-values.

I need help finding the value of x for these problem?

Answers

ANSWER

No 3. x = 41 degrees

No 4. x = 6.5 degrees

EXPLANATION

Question 3

Note: One of the angles in a right triangle is 90 degrees. As a result, the sum of the other two angles is 90.

That is:

[tex]\begin{gathered} 45+(x+4)=90 \\ x+4=90-45 \\ x=45-4 \\ x=41^0 \end{gathered}[/tex]

Question 4

Note: The sum of angles in a triangle is 180

That is:

[tex]\begin{gathered} 31+97+8x=180 \\ 128+8x=180 \\ 8x=180-128 \\ 8x=52 \\ x=\frac{52}{8} \\ x=6.5^0 \end{gathered}[/tex]

Under her cell phone plan, Mayerlin pays a flat cost of $55 per month and $5 per
gigabyte. She wants to keep her bill under $70 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Mayerlin can
use while staying within her budget.

Answers

The  inequality can be represented as 55 + 5x < 70

what is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Mayerlin pays a flat cost of $55 per month and $5 per gigabyte.

She wants to keep her bill under $70 per month.

let  x be the number of gigabytes Mayerlin can use.

So, the inequality can be represented as

55 + 5x < 70

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8 grade, help please!!!

Answers

Answer:

Yes the triangles are congruent.

Step-by-step explanation:

You are going to move all the points 2 units to the left and  4 units up.

Look at the vertices of the triangle.  The points are (0,1) and (-5,0) and (2,-5).  If we moved all three of these points to places to the left and 4 up, they would be at (-2,4), (-7,4) and (0,-1)  This would make a image that is a congruent triangle.  You have just translated the original triangle 2 places to the left and 4 places up.

What is the equation of a line that passes through the point (2, −10) and is parallel to 14x+2y=6 ?

Enter your answer in the box.

Answers

The equation of the line passes through (2, -10) and to parallel to 14x +2y =  6 is 7x + y = 4

In the above question,

The equation of the line = 14x + 2y = 6

2y = 6 - 14x

y = [tex]- \frac{14x - 6}{2}[/tex]

y = -(7x - 3)

y = -7x + 3

The inclination of a line with respect to the horizontal is measured numerically is called as Slope

Slope of the given line = -7

The slope of a line parallel to the given line would be the same as they both are parallel to each other, hence the needed line's slope is also -7

The point through which is passes = (2, -10)

We need to find the equation of the line which passes through (2, -10) and to parallel to 14x +2y =  6

The equation of a line parallel to the given 14 x + 2 y = 6, and passing through the point (2, -10) is

[y - (-10)] = (-7)[x - 2]

y + 10 = -7x + 14

7x + y = 14 - 10

7x + y = 4

Hence, the equation of the line passes through (2, -10) and to parallel to 14x +2y =  6 is 7x + y = 4

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If you received $175.84 on $314 invested at a rate of 7%, for how long did you invest the principal?

Answers

The principal amount was invested for 8 Years.

In the given question, it is stated that when $314 was invested as the Principal amount, it got an Interest of $175.84 at an interest rate of 7%. We have to find out the total period of time the principal amount was kept and got interested in in order to complete the interest amount of $175.84.

To calculate the Interest, we know that the formula for Simple Interest is:

=> S.I. = (P*R*T)/100, where P = Principal amount, R = Rate of Interest, and T is the Time period. Now, putting values in the formula we get:

=> S.I. = (P*R*T)/100

=> 175.84 = (314*7*T)/100

=> T = 17584/2198

=> T = 8

Hence, we get Invested Time for 8 years.

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please solve this with solution thankyou.​

Answers

The value of the function operation of each one is represented below.

Function Operation

To solve this problem, we have to perform the operation on each one.

f(x) = 2x + 4g(x) = x^2 + 4x + 4h(x) = x^2 - 4

1) (fg)(x)

[tex](fg)(x) = 2x^3 + 12x^2 + 24x + 16[/tex]

2) (hg)(x)

[tex](hg)(x) = x^4 + 4x3 -16x -16[/tex]

3)

(fh)(2)

[tex](fh)(2) = 0[/tex]

4) (gh)(x)

[tex](gh)(x) = x^4 + 4x^3 - 16x -16[/tex]

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The cost of belonging to a gym can be modeled by C(m) = 50m + 79.50, where C(m) is the totalcost for m months of membership.State the meaning of the slope and y-intercept of this function with respect to the costs associatedwith the gym membership.Show all steps

Answers

Given:

The cost of belonging to a gym can be modelled by,

[tex]C\left(m\right)=50m+79.50[/tex]

To find:

The slope and the y-intercept

Explanation:

The equation is of the slope-intercept form of the linear equation,

[tex]y=mx+c[/tex]

Where m is the slope and c is the y-intercept.

Comparing we get,

[tex]\begin{gathered} m=50 \\ c=79.50 \end{gathered}[/tex]

Here, the slope represents the cost per month of membership and the y-intercept represents the fixed initial fee to be given to the gym for joining.

Final answer:

• The slope is 50.

,

• The y-intercept is 79.50.

Error Analysis A classmate finds the area of a circle with radius 30 in. to be s 900 in.2. What error did your classmate make? Your answer

Answers

radius = 30 in

Area = 900 in^2

To calculate the area of a circle, use the equation A = pi r^2

His mistake was that he did not multiplicate by pi (3.1416)

The actual area = (3.1416)(30)^2

A = 2827.44 in^2

The perimeter of a kite can be found using the formula P = 2S + 2L. Which
equation expresses S in terms of P and L?

Answers

Answer:

S = ( P - 2L) / 2

Step-by-step explanation:

P = 2S + 2L

P - 2L = 2S

(P - 2L) / 2 = S

Hope this helps :D

60 - 18 / 2 + 4 + 10 / 2 = 12

Answers

Answer:60 =12

Step-by-step explanation:

Shape T is reflected in the line x = -1 to give shape R.
Shape R is reflected in the line y = -2 to give shape S.
Describe the single transformation that will map shape T to shape S.

Answers

Imagine putting a mirror on the page and adding a reflection. You must identify the line in which the shape is mirrored when describing a reflection. The sum of the transformations can be referred to as a single transformation.

How would you describe a single transformation reflection?

Imagine putting a mirror on the page and adding a reflection. You must identify the line in which the shape is mirrored when describing a reflection. Every point of a shape will be separated from the line of reflection by the same amount as the reflected point is separated from the line.

There are occasions when a shape is altered in more than one step, such as when a rotation is followed by a reflection. Typically, the sum of the transformations can be referred to as a single transformation.

Enlargements are a particular kind of transformation where the original shape's size is altered by multiplying it by a scale factor to make it bigger or smaller. To employ a center of enlargement, lines must be drawn from the center via the original shape's vertices. They are known as ray lines.

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Your six year and three month investment of $40,000 at 14% compound interest is worth how much now? ​

Answers

Answer:

price ×time×rate/100 40000×6×14/100

33600

Find the midpoint between (31, 7) and (–17, 19).

(7, 13)
(14, 26)
(19, 1)
(24, –6)

Answers

Answer:

It's (7, 13) not sure how to explain that

Please help me get a 100%!

Answers

Answer: D) there are no solutions.

Step-by-step explanation:

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