Rectangle ABCD has has vertices A(1,1), B (1,5), C(5,5) and D (5,1). Graph the rectangle and its translation (2,1). Then write the new vertices for both.

[tex]\displaystyle\\\binom{15}{3}\cdot\binom{5}{2}=\dfrac{15!}{3!12!}\cdot\dfrac{5!}{2!3!}=\dfrac{13\cdot14\cdot15}{2\cdot3}\cdot\dfrac{4\cdot5}{2}=13\cdot7\cdot5\cdot2\cdot5=4550[/tex]

Answer:

Step-by-step explanation:

f: x→ 5x-8

a. f(-4) = 5(-4) - 8 = -20 - 8. = -28

b. the value of x whose image is 12

To find the value of x ,we have to solve f(x) = 12

f(x) = 12

⇔ 5x-8 = 12

⇔ 5x = 12 + 8

⇔ 5x = 20

⇔ x =  20 ÷ 5 = 4

If two triangles are similar, then their side lengths are proportional.

RS / JK = RT / JL

5 / x = 4 / 7

4x = 35

x = 35/4 = 8.75

RT / JL = TS / LK

4 / 7 = 6 / (y + 2)

42 = 4(y + 2)

42 = 4y + 4

4y = 38

y = 38/4 = 9.5

LK = 9.5 + 2 = 11.5 cm

JK = x = 8.75

Hope this helps!

Answer: 1, 3

For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.

Probability that the first candy selected is taffy and the second candy is caramel is 0.144.

The data missing in the question is

A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy.

Probability can be defined as the study of likelihood of an event to happen.

It has a range of 0 to 1.

Probability is the ratio of the expected outcomes / total coutcome.

Total outcomes = 18

The probability that the first candy is taffy is 11/18

Now as there is no replacement , the total outcomes can be 17

The probability that the second candy is caramel is 4/17

Probability that the first candy selected is taffy and the second candy is caramel =  (11/18)(4/17)

= 0.144

Therefore the Probability is 0.144

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The expression of the inequality word problems for each question is; As expressed below

A) x is negative. This can be expressed as;

x < 0

B) y is non-negative. This can be expressed as;

y > 0

C) q is less than or equal to is expressed as; q ≤

D) d is between 2 and 1 is expressed as 1 < d < 2

E) t is not less than 5 is t ≥ 5

F) The negative of z is not greater than 3 is expressed as;

−z ≤ 3

G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6

H) The reciprocal of w is at least 9 is 1/w ≥ 9.

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Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18, 19.

These are known to be the Alternate exterior angles that are regarded as the pair of angles found on the outer side of the two parallel lines but they are seen on the opposite side of the transversal.

Note that in the image given, there are two parallel lines and two transversal lines.

Note also that to get the Alternate exterior angles, it has to be the angles seen on the seen on the opposite side of the transversal that has crossed the parallels lines and from the image given, only angle 1, 2, 3, 4,13,14, 18, 19 fit into the description.

Therefore, Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18 19.

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Answer:

see the attachment photo!

Answer:

Step-by-step explanation:

consider the events F and S :

F : «the first point is placed on JL»

S : «the second point is not placed on KL»

F∩S : «a point on JM is placed first on JL and a second point is not placed on KL»

[tex]p\left( F\right) =\frac{JL}{JM} =\frac{10}{16} =\frac{5}{8}[/tex]

[tex]p\left( \overline{S} \right) =\frac{KL}{JM} =\frac{6}{16} =\frac{3}{8}[/tex]

[tex]\Longrightarrow p\left( S\right) =1-p\left( \overline{S} \right) =1-\frac{3}{8} =\frac{5}{8}[/tex]

[tex]p\left( F\cap S\right) =p\left( F\right) \times p\left( S\right) =\frac{5}{8} \times \frac{5}{8} =\frac{25}{64}[/tex]

To solve these types of problems:

 ⇒ just solve like a regular algebraic equation

     ⇒ with an inequality sign in the middle

Let's solve:

           [tex]-3p + 2 > 5\\-3p > 3[/tex]

                ⇒ must change the inequality sign to face the other direction

            [tex]-3p > 3\\p < -1[/tex]

Answer: p < -1

Hope that helps!

Answer:

p < -1

Step-by-step explanation:

-3p + 2 > 5

subtract 2 from both sides

-3p + 2 - 2 > 5 - 2

-3p > 3

divided both sides by -3 to get p alone

-3p / -3 > 3 / -3           reverse the inequality

p > -1

Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

The points are given as:

(3,6.5) and (4,17.55)

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Using the given points, we have the following equations:

[tex]ab^3 = 6.5[/tex]

[tex]ab^4 = 17.55[/tex]

Divide both equations:

[tex]ab^4 \div ab^3 = 17.55 \div 6.5[/tex]

Evaluate

b = 2.7

Substitute b = 2.7 in [tex]ab^3 = 6.5[/tex]

[tex]a * 2.7^3 = 6.5[/tex]

Solve for a

[tex]a = \frac{6.5}{2.7^3}[/tex]

Substitute [tex]a = \frac{6.5}{2.7^3}[/tex] and b = 2.7 in [tex]y = ab^x[/tex]

[tex]y = \frac{6.5}{2.7^3} * 2.7^x[/tex]

His point (5,28.6) means that:

x = 5 when y = 28.6

Substitute x = 5 in [tex]y = \frac{6.5}{2.7^3} * 2.7^x[/tex]

[tex]y = \frac{6.5}{2.7^3} * 2.7^5[/tex]

Evaluate

y = 47.385

y = 47.385 and y = 28.6 are not the same

Hence, Mike's claim is incorrect

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Answer:

6545

Step-by-step explanation:

i spent time on this. i had to type out everything. by. hand.

see calculator image for proof. enjoy.

Answer: 6,555 im good at trig and using the pythagorean therum

Step-by-step explanation: brainliest?

The simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have an expression:

[tex]= 8 \dfrac{3}{8} + 3 \dfrac{3}{8} + 2 \dfrac{3}{8} + \dfrac{3}{8}[/tex]

After simplification:

[tex]= \dfrac{67}{8} + \dfrac{27}{8} + \dfrac{19}{8} + \dfrac{3}{8}[/tex]

[tex]= \dfrac{67+27+19+3}{8}[/tex]

= 116/8

= 29/2

[tex]= 14\dfrac{1}{2}[/tex]

Thus, the simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.

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Answer:

i dont understand your question

Step-by-step explanation:

Answer:

2,304 inches

Step-by-step explanation:

1 square foot = 144 square inches

16 x 144 = 2,304 square inches

Answer:

=Line cd

=Point cd

=Segment cd

Multiply and express as a mixed fraction

6 × 2 1/9

Answer:

uhm smhtn

Step-by-step explanation:

i really just want points.

Answer:

(0,infinity)

Step-by-step explanation:

.

The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The question is incomplete:

The complete question is:

Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).

We are assuming the length of one side x:

x = 18 cm

Length of other side y:

y = 15 cm

And length of the hypotenuse z:

z = 23.5 cm

From the Pythagoras theorem:

z² = x² + y²

z² = 18² + 15²

z² = 549

z = √54 = 23.43 cm

The measure of hypotenuse is:

Using ruler: x = 25.5 cm

Using formula: x = 23.43 cm

They are not equal due to the reading in the ruler.

The formula can be used to in the real life problems as well.

Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

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[tex]|\Omega|=45\cdot44=1980\\|A|=15\cdot14\cdot3=630\\\\P(A)=\dfrac{630}{1980}=\dfrac{7}{22}\approx31.8\%[/tex]

Answer:

Step-by-step explanation:

Equation

√(x + 5) - 1 = 2                      I take it that you want the 5 to be with the x.

Solution

√(x + 5) - 1 = 2                      Add 1 to both sides

√(x + 5) - 1 +1 = 2 + 1            Combine

√(x + 5)  = 3                         Square both sides

√(x + 5)²  = 3²                      Combine

x + 5 = 9                               Subtract 5 from both sides

x + 5- 5 = 9- 5

x = 4

Answer x = 4

Answer:

x = 1

Step-by-step explanation:

Radical expression:

Let's find the value of x.

Solved:

√(x+3)-1 = x

Transpose -1 to RHS:

Squaring both LHS and RHS,we have:

Subtracting x^2+2x+1 from both sides,we have:

Factoring LHS,we have:

Setting (-x+1) = 0 and (x+2) = 0 each time:

Now

There are two solutions– (1,-2)

Let's plug to the given equation to check.

√(x+3) -1 = x

Equation is true,when plugged to x = 1.

√(x+3) -1 = x

Equation is false,when plugged to x = -2.

Hence,the value of x is 1.

-Regards,Hannah

Answer:

Area= 288

Perimeter= 72

Step-by-step explanation:

In order to get the area of a rectangle, you multiply the length by the width, 24x12=288.

In order to find the perimeter just add all of the sides, there are 2 sides with a length of 24, and two sides with a width of 12.

24+24+12+12=72

Answer:

1/6

Step-by-step explanation:

the answer is 1/6th use subtraction

Answer:1 1/8

Step-by-step explanation:

1 3/4 = 1 6/8

1 6/8 = 14/8

14/8-5/8=9/8

9/8=1 1/8

hope this helped!

Answer:

IT IS 40

Step-by-step explanation:

oh my gosh I spent forever on this

ok so we want both equations answers to match since the angles are congruent

So I started at three and of course that was wrong

the way I got 40 was by increasing "x"

and then looking at the difference at both equations answers

for example 36

36x3= 108 -10 =98 and 36 x 2 = 72 +30= 102

so 102-98=4 so I knew I was getting close because we want the difference to be zero

so yeah I made my way up to forty and got it

hope that helps!

Answer:

Step-by-step explanation:

Find the value of x.

5+x=7

x = [?]

5 + x = 7

x = 7 - 5

x = 2

----------------check

5 + 2 = 7

7 = 7

the answer is good

Answer:

4 7/15 miles

Step-by-step explanation:

1 2/3 + 2 4/5

Make alike denominators by multiplying 1 2/3 by 5 and 2 4/5 by 3

1 10/15 + 2 12/15 = 3 22/15

4 7/15 miles altogether that was walked

Give brainliest please!

Hope this helps :)