WILL GIVE BRAINLIEST AND 30 POINTS! The following transformation uses both scalar and matrix multiplication. What are the coordinates of the resulting figure?

Answer:

A. One solution.

B. x = 3.

Step-by-step explanation:

4(2x - 5) = 4

4*2x + 4*-5 = 4

8x - 20 = 4

8x = 24

x = 3.

The given equation has one solution and the solution to the given equation is 3

Linear equation has a leading degree of 1. Given the equation

4(2x - 5) = 4

Divide both sides by 4

4(2x-5)/4 = 4/4
2x - 5 = 1

Add 5 to both sides

2x = 1 + 5

2x = 6

x = 3

Hence the given equation has one solution and the solution to the given equation is 3

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Work Shown:

(11a - 2b + 7c) - (3a - 9b + 5c)

11a - 2b + 7c - 3a + 9b - 5c ... see note below

(11a-3a) + (-2b+9b) + (7c-5c)

8a + 7b + 2c

note: don't forget to distribute the negative through to every term inside the parenthesis

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▹ Answer

8a + 7b + 2c

▹ Step-by-Step Explanation

(11a - 2b + 7c) - (3a - 9b + 5c)

Remove the parentheses

11a - 2b + 7c - (3a - 9b + 5c)

Collect like terms

8a - 2b + 7c + 9b - 5c

Final Answer

8a + 7b + 2c

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

Step-by-step explanation:

Your answer is c

the absolute value of -2x would be positive 2x making x =2 and -2

Answer:

f^-1(x) is 6x + 48

f(x) = 1/6x - 8

To find f^-1(x) equate f(x) to y

That's

f(x) = y

y = 1/6x - 8

Next interchange the terms

We have

x = 1/6y - 8

Make y the subject

Multiply through by 6

We have

6x = y - 48

y = 6x + 48

Therefore f^-1(x) is 6x + 48

Hope this helps you

Answer:f(-1/6)-8

Step-by-step explanation:

cuz

Answer:

00 to 99 are 100 numbers.

If you match the first number only, you win $200. The Probability for this is 1/100.

If you match the first two numbers and not the third, you win $5000. The Probability for this is 1/50.

If you match all three numbers, you win $100,000. The Probability for this is 3/100.

And, If you are a customer, You will think is fair for you.

But if you are the lottery tickets company, you will think is not fair for you.

It depends who you are. 

the game isn't fair because 100,000/3=3333 1/3, so each number should be worth $3333.3333...... dollars but you can't really give 1/3 dollars so the game is impossible to be fair. Also, if you match the first two numbers you apparently get $5000. That's also not fair because each number is worth $50 dollars more than if you get the first number matched. So, the game isn't fair but it will be pretty much impossible to be fair.

Answer:

x = y + 8

Step-by-step explanation:

y = x - 8 and we need to make x the subject

→ Add 8 to both sides to isolate x

y + 8 = x

→ Switch it around

x = y + 8

Answer:

Given,

y=x-8

Since,we want to make X subject so,

Or,y+8=X[side change]

Or,X=y+8.

Step-by-step explanation:

Answer:

|x-98.6|>1.5

Step-by-step explanation:

Answer:

w-2

Step-by-step explanation:

To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.

The document you need to have on hand when preparing to file your tax return is Form W-2. The correct option is D.

A tax return is a document filed with the tax authorities by individuals or businesses to report their income, expenses, and other relevant financial information in order to calculate their tax liability or refund.

It is usually filed once a year, and the information on it is used to determine whether the taxpayer owes additional taxes or is eligible for a refund.

Form W-2 is a form that an employer provides to an employee at the end of the year that shows the employee's total earnings as well as the amount of taxes withheld from those earnings.

It is a necessary document for accurately preparing and filing an individual's tax return.

Thus, the correct option is D.

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Answer:

3.5 mi = 18480 ft

Step-by-step explanation:

There are 5,280 feet for every one mile. Because there are 3.5 mile, you would multiply 5,280 x 3.5, getting 18480 feet.

Answer:

18480 feet

Step-by-step explanation:

1 mile is equal to 5280 feet. so then 3 1/2 miles is equal to 18480 feet.

Hope this helps!

Answer:

90

Step-by-step explanation:

Answer:

30a

Step-by-step explanation:

4a-a x 3a +7a

3a x 10a

30a

The given expression is:

By applying multiplication, we get

→ [tex]4a - 3a^2+7a[/tex]

By applying addition, we get

→ [tex]-3a^2+11a[/tex]

By taking "a" as common, we get

→ [tex]a (-3a+11)[/tex]

Thus the answer above is right.

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Answer:

Yes the Quadrilateral is a Parallelogram.

Step-by-step explanation:

A parallelogram can be defined as a quadrilateral i.e a geometric shape with four sides that has opposite sides parallel and equal in length.

From the question, we are given the following points

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7)

Given points: (x1, y1) and (x2, y2)

The formula would be

√(x2 - x1)² +(y2 - y1)²

a) P(2, 2), Q(1, -3)

Length PQ = √(1 - 2)² +(-3 - 2)² = √-1² + -5² = √26

b) R(-4, 2), S(-3, 7)

Length RS = √(-3 - (-4))² + (7 - 2) ² = √ 1² + 5² = √26

c) R(-4, 2), Q(1, -3)

Length RQ = √(1 - (-4))² + (-3 - 2)² = √5² + 5² = √(25 + 25) = √50

d) S(-3, 7), P(2, 2)

Length SP = √(2 - (-3))² + (2 - 7)² = √5² +(-5)² = √(25 + 25) = √50

From the above solution, we can see that

Length PQ = Length RS

Length RQ = Length SP

This means the opposite sides are parallel and equal in length, hence it is a Parallelogram.

Answer:

-1/10115

Step-by-step explanation:

Let x be the rational number.

-7/85 × x = 1/17

x = 1/17 ÷ -7/85

x = 1/(17 × -7 × 85)

x = 1/(-10115)

x = -1/10115

The rational number is -1/10115.

Answer:

- 5/7

Step-by-step explanation:

-7/85*x= 1/17

x= 1/17 ÷ (-7/85)

x= - 1/17 × 85/7

x= - 5/7

Answer:

Slope = rise / run

= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)

= -0.008

Answer:

The answers are: 1 and 1.

Step-by-step explanation:

I believe they are how combinations are written. In other words:

[tex]_{n}C_{r}=(\frac{n}{r})=n!/(r!(n-r)!)[/tex] (Ignore the fraction bar, I can't really format it properly).

Anyways, simply find the combination of each:

[tex](\frac{9}{0})=9!/(0!(9-0)!)=9!/9!=1[/tex]

[tex](\frac{9}{9} )=9!/(9!(9-9)!)=9!/9!(0!)=9!/9!=1[/tex]

Note that 0! equals 1.

Answer:

Ahh

Step-by-step explanation:

Hhs

ur welcome brainliest person

Answer:

25%

Step-by-step explanation:

Let's call the factor by which production increased x.

[tex]x\cdot 84=105 \\\\\\x=\dfrac{105}{84}=1.25[/tex]

To find the percent increase, you need to subtract 1 from this value, because that represents the initial amount of robots produced. 1.25-1=0.25. Now, to find the percentage:

[tex]0.25=\dfrac{25}{100}=25\%[/tex]

Hope this helps!

Answer:

solution,

[tex]percent \: increase = \\ [/tex]

[tex] (\frac{105 - 84}{84}) \times 100 \: percent \\ = \frac{21}{84} \times 100 \: percent \\ = 25 \: percent[/tex]

Hope this helps..

Good luck on your assignment.

Answer:

Volume = ⅓n²(n-1) or ⅓(n³ - n²)

Step-by-step explanation:

Given

Solid Shape: Right pyramid

Edge= n units

Height= n - 1 units

Required

Volume of the pyramid

The volume of a right pyramid is

Volume = ⅓Ah

Where A represents the area of the base

h represent the height of the pyramid

Since it has a square base;

The area is calculated as follows

Area, A = edge * edge

A = n * n

A = n²

Recall that

Volume = ⅓Ah

Substitute n² for A and n - 1 for h

The expression becomes

Volume = ⅓ * n² * (n - 1)

Volume = ⅓n²(n-1)

The expression can be solved further by opening the bracket

Volume = ⅓(n³ - n²)

Answer:

[tex]\dfrac{1}{3}[/tex].

Step-by-step explanation:

In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).

In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula , we get

[tex]QR=\sqrt{(5-(-1))^2+(0-0)^2}=\sqrt{6^2}=6[/tex]

[tex]Q'R'=\sqrt{(1-(-1))^2+(2-2)^2}=\sqrt{2^2}=2[/tex]

Now,  

[tex]\text{Scale factor}=\dfrac{Q'R'}{QR}[/tex]

[tex]\text{Scale factor}=\dfrac{2}{6}[/tex]

[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]

Therefore the scale factor is [tex]\dfrac{1}{3}[/tex].

The given transformation of quadrilateral QRST to quadrilateral Q'R'S'T'

are a dilation and a translation, therefore,  QRST is similar to Q'R'S'T'.

[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation\ between \ QRST \ and \ Q'R'S'T' \ is} \ \dfrac{1}{3}[/tex]

Reasons:

The vertices of the quadrilateral are;

Quadrilateral QRST

Q(-1, 0)

R(5, 0)

S(3.5, -6)

T(-1, 2)

Quadrilateral Q'R'S'T'

Q'(-1, 2)

R'(1, 2)

S'(0.5, 0)

T'(-1.5, 0)

The given transformation that gives quadrilateral Q'R'S'T' from quadrilateral  QRST are a dilation and a translation.

Required:

The scale factor of the dilation

Solution:

[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{\mathrm{Length \ of \ \overline{Q'R'} }}{\mathrm{Length \ of \ \overline{QR}} }[/tex]

Length of [tex]\overline{Q'R'}} }[/tex] = 1 - (-1) = 2

Length of [tex]\overline{QR}} }[/tex] = 5 - (-1) = 6

Therefore;

[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{2}{6} = \dfrac{1}{3}[/tex]

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Answer:

the probability that the marble is NOT red is 1 - 4/15, or 11/15

Step-by-step explanation:

Find the probability that the marble IS red:  4/(4 + 6 + 5) = 4/15

Then  the probability that the marble is NOT red is 1 - 4/15, or 11/15

the probability that the marble selected from the bag is not red is 11/15 or approximately 0.7333.

To calculate the probability that a marble selected from the bag is not red, we need to determine the total number of marbles that are not red and divide it by the total number of marbles in the bag.

The bag contains 4 red marbles, 6 white marbles, and 5 blue marbles.

The total number of marbles that are not red is the sum of the white and blue marbles, which is 6 + 5 = 11.

The total number of marbles in the bag is the sum of all three colors, which is 4 + 6 + 5 = 15.

Therefore, the probability that the marble selected is not red is:

Probability = Number of marbles not red / Total number of marbles

Probability = 11 / 15

The probability is 11/15, which can also be expressed as approximately 0.7333 or 73.33% (rounded to two decimal places).

So, the probability that the marble selected from the bag is not red is 11/15 or approximately 0.7333.

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Answer:

Step-by-step explanation:

Let the angles be 2x , 6x , 9x , 13x

We know that the sum of quadrilateral is 360°

Now,

[tex]2x + 6x + 9x + 13x = 360[/tex]

Calculate the sum

[tex]30x = 360[/tex]

Divide both sides of the equation by 30

[tex] \frac{30x}{30} = \frac{360}{30} [/tex]

Calculate

[tex]x = 12[/tex]

Replacing the value,

2x = 2 * 12 = 24°

6x = 6 * 12 = 72°

9x = 9 * 12 = 108°

13x = 13 * 12 = 156°

So, the angles are 24° , 72° , 108° , 156°

Hope this helps...

Good luck on your assignment...

Answer:

Below in bold.

Step-by-step explanation:

2+6+9+13 = 30.

Now there are 360 degrees in a a quadrilateral.

So the value of the shortest angle = 2/30 * 360

= 1/15 * 360

= 24 degrees.

In the same way the value of the other 3 angles is:

6/30 * 360,  9/30 * 360 and 13/30 * 360

= 72, 108 and 156 degrees.

"translated 5 units up" means y becomes y+5. We just add 5 to whatever the y coordinate is to shift the point 5 units up.

To shift 3 units left, we subtract 3 from whatever the x coordinate value is. So we go from x to x-3.

Put this together and the translation rule is [tex](x,y) \to (x-3, y+5)[/tex]

Answer:

hope this helps you :) have a good day

Answer:

A. Line k bisects PQ

B. PR is congruent to QR

C. Line k intersects PQ at a 90 angle

Step-by-step explanation:

A perpendicular bisector of a line is a segment that cuts right in the middle a line, and that segment forms a 90º degree angle with the line. This means that the point where the segment cuts the line would be exactly the half, making both resultant segments on the line congruent. So the options that are correct are ABC.

Answer:

In the diagram below,  is the perpendicular bisector of PQ. Which of the following statements must be true?

Check all that apply.

A. PQ is the perpendicular bisector of  

√B. mPTR = 90  

√C. PT = QT

D. RT = ST  

√E.↔rs⊥pq↔  

√F. T is the midpoint of PQ

Step-by-step explanation:

Answer:

BDA is the answer

Step-by-step explanation:

Because its  90 degrees

Answer:

Angle CDA or ADC

(both work as an answer)

Step-by-step explanation:

A complementary angle is one that has a sum of 90 degrees. In the picture, you can see that the two adjacent angles add up to 90. The second angle would be CDA or ADC, in other words, the answer

The answer is a = 3√2. The explanation and steps of how I got the answer is in the image below.

Answer:

y = -4

Step-by-step explanation:

-2x + 5y = 8

Let x=-14

-2(-14) +5y = 8

28 +5y = 8

Subtract 28 from each side

28-28 +5y = 8-28

5y = -20

Divide by 5

5y/5 = -20/5

y = -4

Answer:

m∠A = 2x = 2*20 = 40

m∠B = 3x = 3*20 = 60

m∠C= 4x = = 4*20 = 80

Step-by-step explanation:

we know sum of angles of triangle is 180 degrees

given

m∠A : m∠B : m∠C = 2:3:4

let the angle be

m∠A = 2x

m∠B = 3x

m∠C= 4x

we have taken such angle by applying rule of indices where

a:b:c = ax:bx:cx

which means that if we multiply all term of ratio by same number ratio remains same

thus,

2x+3x+4x = 180

9x = 180

x = 180/9 = 20

Thus,

m∠A = 2x = 2*20 = 40

m∠B = 3x = 3*20 = 60

m∠C= 4x = = 4*20 = 80

Answer:

AC=2.06cm

Step-by-step explanation:

AC^2=AD^2+CD^2

AC^2=1.5^2+1.4142^2

AC^2=2.25+2=4.25

....

[tex] \sqrt{ac {}^{2} } [/tex]

=

[tex] \sqrt{4.25 = } 2.06[/tex]

Answer:

AC=2.06 cm

Step-by-step explanation:

Step-by-step explanation:

you make x the subject of formula for all the questions.

firstly you divide both sides of the equation by a, this way the a will cancel it self out of the equation

x+b= c/a

then you take '+b' to the other side of the equation over the = sign, this makes +b sign to change it then becomes -b

x=c/a -b

2. 7(x-a)=b

you divide both sides of the equation by 7.

x-a=b/7

then you take -a to the other side of the equation it becomes +a

x=b/7+a

NOTE: always eliminate the number/letter beside the bracket first. it unlocks the bracket. the number or letter is joined to a bracket by multiplication so we divide to eliminate it