Find the equation of the line
use exact numbers

Answer : Point “ Q “ should be on (-4,4) so go over 1 unit to the RIGHT & two units UP so your new points would be ( -3 , 6 ) hope this helps yw / btw .

Step-by-step explanation:

The image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)

The translation is given as:

(x,y) -> (x+1,y+2)

The point Q is located at

(-4,4)

So, the image would be:

(x,y) -> (-4+1,4+2)

Evaluate

(x,y) -> (-3,6)

Hence, the image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)

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The maximum length of the poster that can be put in the box is [tex]28in[/tex].

In a cuboid, the longest dimension is the diagonal of the cuboid.

   Diagonal = [tex]\sqrt{(length)^{2}+(width)^{2}+(height)^{2} }[/tex]

Let,    [tex]l=[/tex] the length of the cuboid

         [tex]b=[/tex] the width of the cuboid

         [tex]h=[/tex] the height of the cuboid

And   [tex]d=[/tex] the diagonal of the cuboid

So, as per the formulae [tex]d=\sqrt{l^{2}+b^{2}+h^{2} }[/tex]

Assigning the given values,

[tex]l=24[/tex]

[tex]b=8[/tex]

[tex]h=12[/tex]

Now, calculate [tex]d[/tex] using the formulae,

[tex]d=\sqrt{24^{2}+8^{2}+12^{2}}=\sqrt{576+64+144}=\sqrt{784}=28[/tex]

Hence, the maximum length of the poster that can be put in the box is [tex]28in[/tex].

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The longest poster that fits in the box is 28 inches, matching the diagonal length. Multiple 26-inch posters fit due to the box's length of 24 inches.

To determine the longest poster that can fit inside the box, we need to find the length of the diagonal of the box, as this represents the maximum length a poster can have and still fit within the box.

Given dimensions of the box:

- Height (h) = 12 inches

- Length (l) = 24 inches

- Width (w) = 8 inches

We will use the formula for the diagonal ( d ) of a rectangular box:

[tex]\[ d = \sqrt{h^2 + l^2 + w^2} \][/tex]

Substitute the given values:

[tex]\[ d = \sqrt{12^2 + 24^2 + 8^2} \][/tex]

[tex]\[ d = \sqrt{144 + 576 + 64} \][/tex]

[tex]\[ d = \sqrt{784} \][/tex]

[tex]\[ d = 28 \text{ inches} \][/tex]

Therefore, the diagonal ( d ) of the box is 28 inches.

Now, the longest poster that can fit inside the box cannot exceed this diagonal length of 28 inches. Hence, the longest poster that can fit in the box is 28 inches in length.

Regarding why you can fit multiple 26-inch posters but only one 28-inch poster:

- The box is 24 inches long, so a 26-inch poster can fit along the length of the box without exceeding it.

- However, a 28-inch poster matches the diagonal length exactly, meaning it stretches from one corner of the box to the opposite corner, utilizing the maximum space available inside the box. Trying to fit more than one 28-inch poster would require overlapping or exceeding the box's dimensions, which is not possible.

In conclusion:

- The longest poster that can fit in the box is **28 inches** in length, corresponding to the length of the diagonal of the box.

- You can fit multiple 26-inch posters in the box because each poster fits within the length of the box without overlapping or exceeding the dimensions.

Answer:

y = 4[tex](2)^{x}[/tex]

Step-by-step explanation:

An exponential function in standard form is

y = a [tex]b^{x}[/tex]

Use ordered pairs from the table to find a and b

Using (0, 4), then

4 = a [tex]b^{0}[/tex] ( note that [tex]b^{0}[/tex] = 1 ), so

a = 4, then

y = 4 [tex]b^{x}[/tex]

Using (1, 8)

8 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = 2

y = 4 [tex](2)^{x}[/tex] ← represents the values in the table

Answer:

q-22=24. Hope this helps.

Step-by-step explanation:

22 less than a number, meaning 22 is subtracted FROM an unknown variable. Going by this you would add 22 on both sides, giving you an answer of 46.

Answer

The answer is 46. q minus 22 = 24: Add 22 to both sides.

Step-by-step explanation:

''Twenty-two less than a number is twenty-four''

The equation q -22 = 24 because a number [q] less than [22] is [24]

Therefore, the answer is 46.

Answer:

x=5.35

Step-by-step explanation:

2x - 1.7 = 9

2x - 1.7 + 1.7 = 9 + 1.7

2x = 10.7

2x/2 = 10.7/2

x=5.35

Hope this Helps :)

The solution of the equation 2X-1.7 = 9 is x=5.35

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

For example, 3x – 5 = 16 is an equation.

Given is an equation, 2x-1.7 = 9 we need to solve for x,

2x - 1.7 = 9

2x - 1.7 + 1.7 = 9 + 1.7 [addition property of equality]

2x = 10.7

2x/2 = 10.7/2 [division property of equality]

x=5.35

Hence, the solution of the equation 2X-1.7 = 9 is x=5.35

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Answer:

A. The correct conclusion is that the segments are congruent and similar.

Step-by-step explanation:

Congruent figures are also similar because when all sides are equal, they are in the same ratio too (i.e 1 : 1)

Answer:

Incomplete question, check attachment for diagram of the question

Step-by-step explanation:

Given that,

AD = 20cm

DC = 15cm

BC = 7cm

AB = 24cm

Since the shape consist of two right angle triangle,

Then, we will find the area of each triangle and add them together to find the area of the quadrilateral ABCD

Area of a triangle can be calculated using

A = ½b×h

Then,

For triangle 1, its area is

A_1 = ½ × DC × AD

A_1 = ½ × 15 × 20

A_1 = 150 cm²

Fro triangle 2

A_2 = ½ × BC × AB

A_2 = ½ × 7 × 24

A_2 = 84 cm²

Then, the total area is

A = A_1 + A_2

A = 150 + 84

A = 234 cm²

Area of the quadrilateral ABCD is 234cm²

Answer:

Step-by-step explanation: it’s 234 no cap

Answer:

y = x + 12

Step-by-step explanation:

y= x+ 12 is the only one that does no represent the relationship because it adds x to 12, instead of multiplying x by 12, which would accurately represent the relationship

The equations is the variable isolated

A variable is an alphabet or phrase that stands in for an unknowable quantity, value, or number. Particularly in the case of algebraic expressions or algebra, the variables are utilised.

Given:

We know when we find the value of variable we need to isolate the variable.

We have given some equations, the isolated variable means only the variable on one side of the equal.

So, among the Equation only x = 9/2 + 4 has isolated variable x.

The other parts have some number or other quantities along with variable.

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Answer:

98.00 Dollars

Step-by-step explanation:

7 x 7=49 square yards

49 x 2.00 = 98.00

Answer:

First find the area

7 x 7 = 49

every yard is $2

49 x 2 = 98

$98

Step-by-step explanation:

Answer:

x = -5

y = -2

Step-by-step explanation:

Since you have y, plug that into the equation:

-2x - 7y = 24

-2x - 7(-2) = 24

-2x + 14 = 24

Then, subtract 14 from both sides:

-2x + 14 = 24

      - 14   - 14

__________

-2x = 10

Finally, divide both sides by -2:

-2x = 10

x = -5

So now you have, x = -5 and y = -2.

The common ratio of the geometric sequence 625, 125, 25, 5, 1, ... is 0.2, determined by dividing any term by the preceding term.

The common ratio of a geometric sequence is found by dividing any term by the previous term. In the given sequence 625, 125, 25, 5, 1, ..., to find the common ratio, we can divide the second term (125) by the first term (625), which gives us

[tex]= \frac{125}{625} \\=\frac{1}{5}[/tex].

This ratio is consistent throughout the sequence as each subsequent term is  rac{1}{5} of the previous term. Hence, the common ratio for this geometric sequence is 1/5 or 0.2.

Answer:

W=50cm

Step-by-step explanation:

160000=80*W*40

Divide both sides by 80

2000=W*40

Divide both sides by 40

50=W

W=50

Answer:

D. 15 feet, 7.5 square feet

I got it right on edge

Answer:

How many miles does each member of the biking club ri de>

Step-by-step explanation:

This question is statistical, because 1) it provides a thing for you to study (how many miles does each member ride, as well as 2) provides (hopefully) enough respondents (the members of the biking club) that it will not skew the statistics.

~

Answer:

Yes

Step-by-step explanation:

4<10

which is true therefore it is a solution

Yes, (3, 4) is a solution of y < 4x – 2.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

y < 4x – 2

for (3,4),

we get,

4<10

which is true therefore it is a solution.

hence, Yes, (3, 4) is a solution of y < 4x – 2.

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Answer:

sry, didn't know how to answer #10

Step-by-step explanation:

3: 115°

4: 62°

5: ∠FED

6: 98°

7: 139°

8: 65°

9: 65°

10: unsure

11: 37

12: 16.97

13: 15.8

14: 71.063352017759

15: 13

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

Answer:

We have 10 sections, we can assume that the probability of hitting each of one of them is the same.

we have 9 grey slices and 1 white slice, then the probability of landing in a grey slice is equal to the number of grey slices divided by the total number of slices:

P(X) = 9/10 = 0.90

The probability of not landing in a grey slice is equal to the probability of landing in the white slice, this is:

P(not X) = 1/10 = 0.10

Also, when you have only two events, you can calculate this as:

P(not X) = 1 - P(X) = 1 - 0.90 = 0.10

Answer:

false, they can run 14 miles in 15 minutes

Step-by-step explanation:

56 divide by 4 = 14

60 divided by 15 = 4

-7 -5 / 4 -2 / -12/2

-12/2 = -6

Slope: -6x

5 = 2(-6) + b

5 = -12 + b

-12 + 17 = 5

Slope intercept Form: y = -6x + 17

Answer:

135 ft^2

Step-by-step explanation:

7yd = 7*3 feet = 21 feet

[tex]area \: of \: trapezoid \\ = \frac{1}{2} (15 + 21) \times 7.5 \\ = \frac{1}{2} \times 36 \times 7.5 \\ = 18 \times 7.5 \\ = 135 {feet}^{2} [/tex]

The arc length of the sector will be 15.7 inches. Then the correct option is A.

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The diagram is given below.

r = 3

θ = 5/3 π

Then the arc length will be

Arc = (5/3 π/2π) 2π x 3

Arc = 5/3 x π x 3

Arc = 15.7 inches

Then the correct option is A.

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Answer:

6- 9in

7- B

8- D

9-C

10-C

Step-by-step explanation:

Answer:

your fricked I don't even know this lolll

Answer:

927 Cubic inches

Step-by-step explanation:

Area of Octagon, using the formula for finding the area of regular polygons (A = 1/2 x apothem x perimeter): A= 1/2 x 4.83 x 4(8) -> A = 77.28

Then using the Area of the base , you then multiply it with the height, and you get your volume: 77.28 x 12 = 927 cubic inches

Answer:

The base of each triangle B is: 2 ✓

The area of the rectangle is: 4 ✓

The area of each triangle is: 4 ✓

The area of the trapezoid is: 12 ✓

Step-by-step explanation:

Hope I helped, btw I'm following everyone who follows me! :)

Answer:

2 1/2 hours

Step-by-step explanation:

multiply their rate by the number of hours

4*2=8

2*2=4

We want them to both equal 15 when added together

8+4≠15

So it's not 2 hours

So now our next answer choice is 2 1/2 hours

Ok that's easy, we can still use what we did from the last answer choice (2 hours)

Since it says 1/2 that means we can multiply the rate by 0.5 or divide it by 2

4/2=2

2/2=1

2+1=3

Now we add that to 8+4

8+4=12

2+1=3

12+3 = 15

Now that we've gotten 15 we know the rest of the answers are incorrect.

Answer:

I think it's a or d I think