Applying the translation (x, y) → (x – 3, y + 7) maps the point (–4, 7) onto the point ________. Question 16 options: A) (–7, 14) B) (14, –7) C) (7, –14) D) (14, 7)

Answer:

y= -3/4

Step-by-step explanation:

The y-intercept of the line perpendicular to the line  [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1

The equation of a line in point-slope form passing through the points

[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Given that,

The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point

(-3, -3).

Let us assume that the slope of perpendicular lines is m₁ and m₂.

Hence,

[tex]m_1 \times m_2 = - 1[/tex]

Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]

The equation of perpendicular line is,

[tex]y = \frac{-3}{4} x + 5[/tex]

Slope = [tex]\frac{-3}{4}[/tex]

Hence, the slope of the line is,

[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]

[tex]m = \frac{4}{3}[/tex]

Since, the line includes the point (-3, -3).

Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]

⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]

Multiply by 3 on both sides,

⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]

⇒ [tex]3y + 9 = 4x + 12\\[/tex]

⇒ [tex]3y = 4x + 3[/tex]

⇒ [tex]y = \frac{4}{3} x + 1[/tex]

So, the y-intercept is, 1

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Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Answer:

the answer is-

Step-by-step explanation:

b added to 12 times x.

the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc

Answer:

A: 33.5

B: 24.5

Step-by-step explanation:

Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.

Step-by-step explanation:

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Answer:

28%

Step-by-step explanation:

Given that

The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-

Remaining of large pieces of mail were catalogs

= 100% - 22%

= 78%

Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog

[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]

[tex]= \frac{2,808}{10,000}\times 100[/tex]

= 28.08%

or

28%

Answer:

28%

Step-by-step explanation:

Answer:

108/9 = 12

Take the total amount of Candy (108) and divide it by the amount of people that will receive an equal amount (9). 108/9 = 12

Answer:  8

Step-by-step explanation:

there is no table

Answer:

The second choice. m < 4 = 85 degrees.

Step-by-step explanation:

m < 4 = 180 - m < 1

= 180 - 95

= 85 degrees.

The measure of angle 4 is 85 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that measure of Angle 1 is 95 degrees.

Therefore, we can see that  angle 4 and Angle 1 makes linear pair so.

Angle 4 = 180 - Angle 1

= 180 - 95

= 85 degrees.

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Answer:

i think it is -9x/7

Step-by-step explanation:

Answer:

  (7x +6y)(49x^2 -42xy +36y^2)

Step-by-step explanation:

The factoring of the sum of cubes is a special form:

  a³ +b³ = (a +b)(a² -ab +b²)

We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.

From our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...

  343x³ +216y³ = (7x)³ +(6y)³

Our factoring pattern above can be used with ...

Substituting these values, we have ...

  343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)

  343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

-6 + -6 = -12

-6 * -6 = 36

meaning -6 in in both

if you want to find x

x = 6

Answer:

6

Step-by-step explanation:

x2-12x+36=0

find a two numbers that add to -12 and multiply to 36

-6 and -6

(x-6)(x-6)=0

x-6=0     x-6=0

x=6         x=6

Answer:

a=30

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

The value of a is 30 degree

hope it helps..

Good luck on your assignment

Answer:

[tex]18641.50 \: cm^2\\154.06 \: cm[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]484=\pi d[/tex]

[tex]\frac{484}{\pi } =d[/tex]

[tex]d=154.06198[/tex]

[tex]A=\pi r^2[/tex]

[tex]\pi (\frac{d}{2}) ^2[/tex]

[tex]\pi (\frac{154.06198}{2}) ^2[/tex]

[tex]A=18641.49898[/tex]

Answer:

The area of the circle is approximately 18641.5 because you need to round to the nearest place value. The diameter of the circle is approximately 154.06.

Step-by-step explanation:

Area=πr2

Circumference=2πr

Solving for Area

Area= C²/4 π = 484²/4·π ≈ 18641.50017

———————————————————————————

Circumference =2πr

Diameter= πr

Solving for Diameter

Diameter= C/π = 484/π≈ 154.06198

Answer:

No, it is not.

Step-by-step explanation:

comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,

   6 - 2 = 4

So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.

Answer:

A.

Step-by-step explanation:

[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]

Answer:

A

Step-by-step explanation:

Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared

Answer:

the answer for this question is (y-5)/4=x

Answer:

Step-by-step explanation:

The first rule is that 2 of the sides must be bigger than the third.

4 and 7 makes 11 which is not bigger than 12, so A is not an answer.

5 + 7 = 12 That does not exceed 12, so the second one is not an answer

12 12 and 7 works perfectly. It makes an isosceles triangle. Any two of the three sides added together is larger than the third side.

If you put 19 20 or 21 into what you think might make a triangle, you would be incorrect. 12 and 7 makes 19. 19 is too large because 12 and 7 will lie flat on 19. No triangle works.

So only 12 works.

In short, 5<x<19 will create a triangle. Anything outside that inequality will not.

Answer:

7 and 12

Step-by-step explanation:

using triangle inequality theorem

if triangle has side a,b, and c, then all of them will trus if fulfill this inequality

a+b > c

a+c > b

b+c > a

now take a = 7 and b = 12

so the number c which can make triangle with a and b is

7 and 12

Answer:

s = 5/4 pi

Step-by-step explanation:

A = 25π cm2

Theta = pi/4

A = pi r^2 = 25 pi

Divide each side by pi

r^2 = 25

Taking the square root of each side

sqrt(r^2) = sqrt(25)

r = 5

The arc length is

s = r  * theta where theta is in radians

s = 5 * pi/4

s = 5/4 pi

Answer:

the answer would be c the

third option

Answer & Step-by-step explanation:

The equation for slope-intercept form is y=mx+b

In order to solve this problem, we can just solve the equation to find y.

y - 6 = 5(x - 2)

Distribute 5 to (x - 2)

y - 6 = 5x - 10

Add 6 to both sides of the equation.

y = 5x - 4

So, the slope of the line is 5.

The required slope of the line m = 5

What is the slope of the line represented by the equation y-6 = 5(x - 2)

line, is curve showing the shortest distance between 2 points.

Given line y-6 = 5(x - 2)
standard equation of line = [tex]y-y_1=m(x-x_1)[/tex]
compare the standard equation of line with standard equation
m=5

Thus, The required slope of the line m = 5

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Answer:

3/4

Step-by-step explanation:

Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances

The required probability of getting a number less than 5 is 3/4

The correct option is (B)

The mathematical possibility of any event is called probability

The probability of impossible event is zero and sure event is one

The probability can be calculated as

Probability = [tex]\frac{favourable}{total}[/tex]

here we have given total event or sample is

S = {2, 3, 4, 5}

n(S) = 4

The required probability of getting a number less than 5

Favorable event E = {2, 3, 4}

n(E) = 3

Therefore the

P(E) = 3/4

Hence the correct option is (B)

This is the conclusion to the answer.

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Answer:

[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Step-by-step explanation:

[tex]f(x)=3x^2 + 2x + 4[/tex]

[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]

[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Answer:

f(2) = 20

f(a+h) = 3a²+6ah+3h²+2a+2h+4

Step-by-step explanation:

f(x) = [tex]3x^2+2x+4[/tex]

A) Putting x =2

=> f(2) = 3(2)²+2(2)+4

=> f(2) = 12+4+4

=> f(2) = 20

B) Putting x = a+h

=> f(a+h) = 3(a+h)²+2(a+h)+4

=> f(a+h) = 3a²+6ah+3h²+2a+2h+4

Answer:

Step-by-step explanation:

Since 20% is taken off, 100%-20% or 80% remains.

80% of $65 is 0.80�$65 or $52.  That's the price without tax.  

The tax on $52 is 0.06�$52 or $3.12,

$52 + $3.12 = $55.12

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

Ratio Red to Black is 1:1

Therefore, Red and Black has 25 cards respectively

If 10B cards are removed, then 25-10=15B cards left

Current ratio Red to Black is 25:15 and simplest form is 5:3

Answer:

730.61664

Step-by-step explanation:

area equals πr2=π·15.252≈730.61664

Answer:

829.15625 units squared

Step-by-step explanation:

The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.

Answer:

[tex]x=10\\x=-10[/tex]

Step-by-step explanation:

[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]

[tex]x=10\\x=-10[/tex]

Answer:

[tex]x=\pm 10[/tex]

Step-by-step explanation:

[tex]\mid x \mid -13=-3[/tex]

Add 13 to both sides:

[tex]\mid x \mid=10[/tex]

[tex]x=\pm 10[/tex]

Hope this helps!

Answer:

B. Spread

Step-by-step explanation: