Graph:
Y=X +3 squared -4

Answer:

slope ={10--2}/(-7-8)=12/-15=-4/5

Answer:

z =  5√3(cos 0 + isin0)

Step-by-step explanation:

Convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π

The rectangular form is expressed as z = -5√3 + 0i

z = √(-5√3)² + 0²

z = √(25(3))

z = √75

z = 5√3

Get the argument

theta = tan^-1 0/-5√3

theta = tan^-10

theta = 0 degrees

Hence the polar form is expressed as z = r(cos theta + i sintheta)

z =  5√3(cos 0 + isin0)

Answer:

Step-by-step explanation:

1.

6 * 6 = 36

6 * 6 / 2 = 18

4(18) = 72 (4 triangles)

SA = 36 + 72 = 108 in^2

2.

11 * 4.5 = 49.5

2(49.5) = 99 (2 flaps)

7 * 4.5 = 31.5

2(31.5) = 63 (2 flaps)

11 * 7 = 77

2(77) = 154 (2 flaps)

SA = 99 + 63 + 154 = 316 in^2

3.

25 * 25 = 625

6(625) = 3750 (6 squares)

SA = 3750 ft^2

4.

40 * 60 = 2400

3(2400) = 7200 (3 flaps)

25 * 40 /2 = 500

2(500) = 1000 (2 flaps)

SA = 7200 + 1000 = 8200 cm^2

5.

15 * 9 = 135

3(135) = 405 (3 flaps)

8 * 9 /2 = 36

2(36) = 72 (2 flaps)

SA = 405 + 72 = 477 in^2

6.

9 * 12 = 108

10 * 9 /2 = 45

2(45) = 90 (2 flaps)

12 * 10 /2 = 60

2(60) = 120 (2 flaps)

SA = 108 + 90 + 120 = 318 mm^2

Answer:

13/18

Step-by-step explanation:

Mike is mixing paints for his walls

He mixes 1/6 gallons of blue paint

He also mixes 5/9 gallons of green paint

Therefore the total amount of paint mixed can be calculated as follows

1/6 + 5/9

= 39/54

= 13/18

Answer:

3x+1=71

3x=71+1

3x=72

x=24

Answer:

$578.49

Step-by-step explanation:

$525.90×0.1=$52.59

$525.90+$52.59=$578.49

Answer:

DEF = 31.8

Step-by-step explanation:

90 - 58.2 = 31.8

Answer:

Angle DEF = 31.8°

Step-by-step explanation:

The complete angle is a right angle, or 90° angle. To find DEF, you can just do 90° - 58.2° = 31.8°

Answer:

area = 462

Step-by-step explanation:

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

Answer:

yes that is right

Step-by-step explanation:

Answer:

I think infinite since it goes on past these numbers.

Step-by-step explanation:

Answer:

Infinity solutions

Step-by-step explanation:

This inequality has infinite solutions because the number line goes from 3 to infinity. this means that there is an uncountable number of solution which means the answer to this question is E.

Answer:

B.) You don't really have to worry about finding the slope. You just have to look for the y intercept, which is (0, -2)

Hope this helps! :)

Answer:

s = 0

Step-by-step explanation:

-12s - 48 = -48

-12s = 0

s = 0

Answer: 1 4/5 crates

Step-by-step explanation:

From the question, we are informed that 4 1/2 crates of grapes are delivered to a grocery store and that 2/5 of the grapes in each crates are green grapes.

The number of crates that it would take to deliver only the green grapes would be:

= 2/5 × 4 1/2

= 2/5 × 9/2

= 9/5

= 1 4/5 crates

Answer:

B. $21.00

Step-by-step explanation:

The difference is $9.

the answer is B.21.00 :)

Answer:

x = 9

Number of observations = 6

Sum of observations = 54

Step-by-step explanation:

Number of observations, n = 6

Mean = ΣX / n

(6 + 8 + x + 2 + 10 + 2x - 1 + 2) / 6 = 9

(27 + 3x) / 6 = 9

27 + 3x = 6 * 9

27 + 3x = 54

3x = 54 - 27

3x = 27

x = 27 / 3

x = 9

Answer:

0.45 percent

Step-by-step explanation:

0.36 divided by 80 and then move decimal 2 places to the right

Answer:

0.45

Step-by-step explanation:

Answer:

The measure or what?

Step-by-step explanation:

Answer:

we need a measure

Step-by-step explanation:

Answer:

0.70 grams of protein are there for every gram of carbohydrates

Step-by-step explanation:

10/10 = 1

7/10 = 0.7

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

Answer:

5.79 feet

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

Third piece = z

Sac had a rope that was 15 feet long.

x + y + z = 15

He cut it into three pieces.

The first piece was 3.57 feet longer than the second piece.

x = 3.57 + y

The third piece was 2.97 feet longer than the second piece.

z = 2.97 + y

How long was the third piece of rope?

x + y + z = 15

3.57 + y + y + 2.97 + y = 15

3y + 6.54 = 15

3y = 15 - 6.54

3y = 8.46

y = 8.46/3

y = 2.82 feet

Therefore, the length of the third piece z = 2.97 + y

z = 2.82 + 2.97

z = 5.79 feet

Answer:

Whole Number

Step-by-step explanation:

Answer:

A whole is a fraction with the denominator of one.

Step-by-step explanation:

Answer:

D is 50,230,000,000

Step-by-step explanation:

explanation

510,000,000

9,600,000,000

244,000

50,230,000,000

Answer:

Step-by-step explanation:

2 [tex]\pi[/tex] r=25.71

6.284r= 25.71 (divide by 8.284 on both sides)

r=4.09cm

Answer: -2.8

Step-by-step explanation:

3t-(8/5) * 4-t < -7

(15t-8)/5 * 4-t < -7

((15t-8)(4-t))/5 < -7

(15t^2)-28t-32< -7

(15t^2)-28t-32-7< 0

(15t^2)-28t-39< 0

Using the quadratic/almighty formula

t= (-b +- ((b^2)-4ac)^(1/2)/2a)

a=15, b=-28, c=-39

t= (-(28) +- (((-28)^2)-4(15)(-39))^(1/2))/2(15))

t= -2.8 or t= 0.9

Since

t<0, then t= -2.8

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}} }: [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Let E ( -3 , 2 ) be ( x₁ , y₁ ) & H ( 1 , -1 ) be ( x₂ , y₂ )

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \sf{Midpoint = ( \frac{x_{1} + x_{2}}{2} \: , \frac{ y_{1} + y_{2}}{2} )}[/tex]

⟶ [tex] \sf{( \frac{-3 + 1}{2} \: , \frac{2 + ( - 1)}{2} )}[/tex]

⟶ [tex] \sf{( \frac{-2}{2} \:, \frac{2 - 1}{2} )}[/tex]

⟶ [tex] \sf{( -1 \: ,\frac{1}{2} )}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{(-1 \: , \: \frac{1}{2} )}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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