Please Help I Don't Understand. Thank You!

Answer:

(2 , 4)

Step-by-step explanation:

set 3x-2 = -x + 6

4x = 8

x = 2

3(2) - 2 = 4

The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.

So area of first figure = k² × area of second figure

Similarly,

Volume of first figure = k³ × volume of second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that;

Let the scale fator of dilation be k.

Then:

So area of pre-image = k² × area of dilated image

Thus, we get:

[tex]35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3[/tex]

(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)

Thus, we get:

Height of pre-image = (1/3) × Height of dilated image (say h)

[tex]5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m[/tex]

Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Learn more about dilation here:

https://brainly.com/question/3266920

Answer:

[tex]4x + 6y^{3} x^{2}[/tex]

Step-by-step explanation:

Simplify

Answer:

120 m²

Step-by-step explanation:

A = (1/2) · (p + q) · h
A = (1/2)(14 + 10)(10)
A = (1/2)(24)(10)
A = 120
Hope this helps :)

Answer:

basic geometry and trig ratios

Step-by-step explanation:

sin 10 = 500/x

x = 500/sin 10

x = 2 879,4 m

Answer:

4.6320447e+16

I used a calculator for this LOL.

Answer:

Step-by-step explanation:

Answer:

Mode = 1

Step-by-step explanation:

Relation between the Central Measures of Tendency

Solving

Therefore,

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

We know the relation between mean, Median and mode. that is :

[tex]\qquad \sf  \dashrightarrow \:mode = 3 \: median - 2 \: mean[/tex]

now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \:mode = 3(5) - 2(7)[/tex]

[tex]\qquad \sf  \dashrightarrow \:mode = 15 - 14[/tex]

[tex]\qquad \sf  \dashrightarrow \:mode = 1[/tex]

Hence, value of mode is 1

Answer:

A. is the answer because 1/2 x 20 will equal 40 gallons

c) 84%

hope this helps :)

85% of take-home pay is spent on expenses option (D)85% is correct.

It is given that in the chart there are various expenses.

It is required to find the percentage of take-home pay is spent on expenses.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a total take-home salary = $5388

Total expenses = $4558

In percentage it can be expressed as follows:

[tex]=\frac{4558}{5388}\times100[/tex]

[tex]=0.84595\times100\\\\= 84.595 \ \%[/tex]

or ≈ 85%  (round to nearest whole)

Thus, 85% of take-home pay is spent on expenses.

Learn more about the percentage here:

https://brainly.com/question/8011401

Answer:

yes

Step-by-step explanation:

Using the Pythagorean Theorem, considering that the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side, the triangle is a right triangle.

Pythagorean Theorem:

The Pythagorean Theorem states that for a right triangle, the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side.

so it is a right triangle.

Step-by-step explanation:Updated answer is the second one

Answer:

Surface Area = 6×62 = 216 inches2

Step-by-step explanation:

Formula for surface area of cube is 6 into side²

EXPLANATION

Cube has all sides of equal dimensions and like that it has 6 faces.

So total surface area of cube is equal to the combined area of all the six faces.

Now each face has equal dimensions so same area

Therefore,

area of a single face =side²

Therefore, area of entire cube = 6 times the area of a single face

= 6 * side²

Explanation:

The distributive property allows us to go from the original expression to choice A. We multiply the outer term 8 by each term inside the parenthesis.

In general, the distributive property is a(b+c) = ab+ac. Example: 2(3+4) = 2(3)+2(4) = 6+8 = 14.

After simplifying the expression in choice A, it leads directly to choice E. This is because 8(6x) = 48x and 8(9) = 72.

Side note: A common mistake students do is to multiply the outer term by only one of the terms inside the parenthesis, while forgetting about the other term inside. Choice B shows this mistake. It's possible your teacher put choice B in there as a trap/trick answer.

Answer:

144

Step-by-step explanation:

The equation to find c is:

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

So put -24 into b:

[tex](\frac{-24}{2} )^{2}[/tex]

Which simplifies to:

144

So if you want to test this:

x^2 - 24x + 144

is

(x-12)^2

Answer:

0.950 L

Step-by-step explanation:

ml/1000 = L

Based on the formula given of 27π = πn, we can find the value of n after substitution in an equation to be 27.

The value of n can be found by making n the subject of the formula as shown below;

27π = πn

n = 27π / π

Solving of n therefore gives:

n = 27π/π

n = 27

In conclusion, n is 27.

Find out more on finding terms at https://brainly.com/question/25827678.

Answer:

2

Step-by-step explanation:

As they are SIMILAR, they have a ratio!

15:5=3

So, the scale factor is 3 from triangle ABC to triangle XYZ

6/3=2

sin alpha= a/c

sin 23° = x/13

x= sin 23° ×13

x≈ 5.08

Answer:

The answer is C 33.75 inches

Step-by-step explanation:

look at the explanation photo

Answer:

q=50

d=22

Step-by-step explanation:

Answer:

16 to 20

Step-by-step explanation:

Let's do our math.

4 to 5

8 to 10

12 to 15

16 to 20

In order to get to 20, you'd have to multiply 5 by 4. So in order to get an equal ratio, you multiply 4 by 4 and get 16.

I hope this helps!

-No one

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:5 - ( 6 - 9x) = 1 - (4 - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \:5 - 6 + 9x = 1 - 4 + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 9x - 1 = 7[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x = 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{8}{9} [/tex]

Answer:

Red

Step-by-step explanation:

Hope it helps :)

Answer:

Pretty sure it's 2:30 P.M.

Step-by-step explanation:

If her track practice started at 12:00 P.M., and and ran relays for one hour, it would already be 1:00 P.M.

Then she practiced the long jump for an hour and thirty minutes. Add another hour to that and it would be 2:00 P.M. Add thirty minutes, and it would be 2:30 P.M.

Hopefully that makes sense to you

Step-by-step explanation:

the relationship between x and y is defined by a constant factor.

you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.

that makes it a linear relationship (a line on a chart, hence the name).

proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

so, yes, it is proportional.

and the table is then

x y

0 0

3 3×2/3 = 2

6 6×2/3 = 4

9 9×2/3 = 6

answer

For each

x

in the expression you substitute

−

3

and for each

y

you substitute

5

. Make sure to handle the signs correctly. Remember

(

−

−

=

+

)

(

(

2

⋅

−

3

)

−

5

)

3

−

(

5

−

(

−

3

⋅

5

)

−

6

)

(

−

6

−

5

)

3

−

(

5

−

(

−

15

)

−

6

)

−

11

⋅

3

−

(

5

+

15

−

6

)

−

33

−

(

20

−

6

)

−

33

−

14

−

47

Answer linkStep-by-step explanation:

Let's see

Put x and y

Done!

The maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons

r = radius

h = height

Therefore,

r = 10 ft

h = 25 ft

The tank can only be 80% filled due to safety measures. Therefore,

v = 3.14 × 10² × 25

v = 3.14 × 100 × 25

v = 3.14 × 2500

v = 7850 ft³

80% capacity of 7850 ft³  is as follows:

80 / 100 × 7850 = 628000 / 100 = 6280 ft³

100 ft³ = 2.78 gallons

6280 ft³ = ?

cross multiply

maximum number of whole gallons  = 6280 × 2.78 / 100 = 17458.4 / 100 = 174.584 gallons

Therefore, the maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons

learn more on cylinder here: https://brainly.com/question/1780981

Answer:

y = -1/2x + 1

Step-by-step explanation:

We find slope using rise-over-run and by counting I got 1/2 but the slope is also negative. The y-intercept is 1 because the points are counting by 1/2 and the line goes through where half of 2 is on the y-axis. Hope this helps!

Derivation of f(x):

   [tex]f'(x) = \frac{g(x)*8x-4x^2*g'(x)}{(g(x))^2} -\frac{1}{x+2}[/tex]

    Since g(3) = 6 and g'(3) = 3

   [tex]f'(3) = \frac{g(3)*8*3-4(3)^2*g'(3)}{(g(3))^2} -\frac{1}{3+2} \\f'(3) = \frac{6*8*3-4*9*3}{36} -\frac{1}{5} \\f'(3) = \frac{36}{36} -\frac{1}{5} =1-\frac{1}{5} =\frac{4}{5}\\ f'(3) = 0.8[/tex]

Thus f'(3) = 0.8

Hope that helps!

A couple of identities I used in derivation:

[tex]\frac{d}{dx} (ln x) = \frac{1}{x}[/tex]