which is an equation in point-slope form for the given point an slope?

point: (-3,7) slope: 4

A: y - 7 = 4(x - 3)
B: y - 7 = 4(x + 3)
C: y + 7 = 4(x + 3)
D) y + 7 = 4x - 12​

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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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:

D

Step-by-step explanation:1x1x1=1

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:

3x+1=71

3x=71+1

3x=72

x=24

Answer:

Whole Number

Step-by-step explanation:

Answer:

A whole is a fraction with the denominator of one.

Step-by-step explanation:

Answer:

B. $21.00

Step-by-step explanation:

The difference is $9.

the answer is B.21.00 :)

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:

0.70 grams of protein are there for every gram of carbohydrates

Step-by-step explanation:

10/10 = 1

7/10 = 0.7

Answer: x = 13 and y = 8

Step-by-step explanation:

Two numbers must add to 21. We don't know them yet, so let's just use a placeholder for both of them for now.

x + y = 21

Their difference is five, meaning that if we subtract one from the other, we get five. Again, we don't know the numbers yet, so we'll add a placeholder for now.

x - y = 5

We can now solve a system of equations for x.

x = y + 5

y + 5 + y = 21

2y + 5 = 21

2y = 16

y = 8

x - 8 = 5

x = 13

So x = 13 and y = 8

Answer:

y = 12

Step-by-step explanation:

Answer:

he initial number of water lily’s :the value 1.106 represents the population increase rateedge

Step-by-step explanation:

The value 3.915 represents the initial population in the exponential equation of water lilies.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

The standard exponential equation is given as; y = ab^x

where;a is the initial population b is the rate (growth or decline)

We have been Given the exponential equation; y = 3.915(1.106^x)

On comparison, we can see that,

a  = 3. 915

Hence, This shows that the value 3.915 represents the initial population of water lilies.

Learn more on exponential equation here:

brainly.com/question/2456547

#SPJ2

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:

10 months

Step-by-step explanation:

2000 - 500 = 1500.

You can pay 100 + 50 = 150 per month

1500 / 150 = 10 months

Answer:

B

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{68} \\ y = 34 \\ \cos( 30) = \frac{ x }{68} \\ x = 34 \sqrt{3} [/tex]

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:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Plz, mark me brainliest ;)

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

Answer:

The measure or what?

Step-by-step explanation:

Answer:

we need a measure

Step-by-step explanation:

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:

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:

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:

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:

s = 0

Step-by-step explanation:

-12s - 48 = -48

-12s = 0

s = 0

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:

$578.49

Step-by-step explanation:

$525.90×0.1=$52.59

$525.90+$52.59=$578.49

Answer:

a

Step-by-step explanation: