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Oksanka [162]
3 years ago
11

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point-slope

Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

1) Find m(the slope of the equation):

Since the slope-intercept form is already given, then you can obtain the slope from it by using y = mx + b

m=5

2) Substitute the given point into the point-slope form y - y1 = m(x - x1)

y-(-13) = 5(x - (-2))

y + 13 = 5(x + 2)

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Blake and Josh are both saving money for a new bike. The ratio of Blake's savings to Josh's savings is 3:1. If they have saved $
kompoz [17]

Given:

Total savings = $400

Ratio of savings of Blake and Josh = 3:1

To find:

The saving of each.

Solution:

Let the savings of Blake and Josh are 3x and x respectively.

According to the question,

3x+x=400

4x=400

Divide both sides by 4.

x=100

Now,

Savings of Blake = 3(100)=300

Savings of Josh =100

Therefore, the savings of Blake and Josh are $300 and $100 respectively.

4 0
3 years ago
Please help!! The dot plots below show the ages of students belonging to two groups of salsa classes:
Rus_ich [418]
Group A I’m pretty confident with that answer
8 0
2 years ago
We know the following about the numbers a, b and c:
labwork [276]

Step-by-step explanation:

(a + b)² = 9

(b + c)² = 25

(a + c)² = 81

Taking the square root:

a + b = ±3

b + c = ±5

a + c = ±9

By adding these three equations together and dividing both sides by 2, we get the value of a + b + c.

Possible combinations for a + b + c such that the sum is greater than or equal to 1 are:

a + b + c = (-3 + 5 + 9)/2 = 11/2

a + b + c = (3 − 5 + 9)/2 = 7/2

a + b + c = (3 + 5 + 9)/2 = 17/2

3 0
3 years ago
1. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 π inches. One day, her sink clogge
Anettt [7]

Answer:

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

7 0
3 years ago
What is the slope of the line shown below.
rusak2 [61]

slope = (y2-y1)/(x2-x1)

(2,4)   (4,8)

 m= (8-4)/(4-2)

m = 4/2

m=2

Answer: 2

8 0
3 years ago
Read 2 more answers
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