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JulsSmile [24]
4 years ago
9

Write an equation of the line below.

Mathematics
1 answer:
blagie [28]4 years ago
8 0

Answer: y=(-1/4)x

Step-by-step explanation:

slope-intercept form: y=ax+b

--------------------------------------------

#1 Find the slope

- Use rise/run: -(2/8)=-1/4

-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4

#2 Find the y-intercept

- Given the point (0,0), the y-intercept is already shown which is 0

------------------------------------------

a=-1/4

b=0

y=(-1/4)x

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A line passes through the point (6,-2) and has a slope of -3/2
natita [175]

Answer:

-1.5x - y + 7 = 0

Step-by-step explanation:

The formula for point slope form is y-yA = m(x - xA).

y - (-2) = -1.5(x + 6)

y + 2 = -1.5x + 9

y = -1.5x + 9 - 2

y = -1.5x + 7

-1.5x - y + 7 = 0 is the point slope form.

8 0
3 years ago
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Two angles of a triangle are 55 and 55 it has two sides of equal length which could it be?
oksian1 [2.3K]

Answer:

A.

Step-by-step explanation:

The third angle is  180 - 2*55 = 70 degrees.

So with 2 sides and 2 angles equal it is an acute isosceles triangle.

5 0
3 years ago
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Nicholas sent a chain letter to his friends, asking them to forward the letter to more friends. Every 12 weeks, the number of pe
Digiron [165]

Answer:

P(t)=50(1.99)^{t/12}

Step-by-step explanation:

The problem can be modeled by using the compound growth formula.

Given, Initial number P_0 of people who Nicholas sent the chain letter t=50

The growth rate, r =99%=0.99

Period of Growth,k =12 Weeks

P(t)=P_0(1+r)^{t/k}

Therefore, in any week (t) after Nicholas initially sent the mail, the number of people who receive the email is modeled by the function:

P(t)=50(1+0.99)^{t/12}\\\\P(t)=50(1.99)^{t/12}

4 0
3 years ago
A dolphin jumped from 5 feet below the surface of the sea. Jane wrote −5 to represent the depth from which the dolphin jumped. W
anzhelika [568]
0 represent the sea surface since the dolphin jumped from five feet below the sea surface and since Jane put that the dolphin jumped at -5 below the sea surface that would mean that 0 must represent the sea surface.
3 0
3 years ago
Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach
evablogger [386]
Let a = cost of an apple and p = cost of a peach

From the two statements we can create the following system of equations:
2a + 3p = 1.65
3a + 2p = 1.60

Since we want to know the cost of a peach, let's eliminate the "a" terms by creating opposites.  The LCM for 2 and 3 is 6 so I will multiply the top equation by 3 and the bottom equation by -2. This will create opposites to cancel "a" terms.
3(2a + 3p = 1.65)  →  6a + 9p = 4.95
-2(3a + 2p = 1.60) → -6a - 4p = -3.20
The result of adding →       5p = 1.75
The result of ÷ 5 →              p = .35
This means one peach cost .35 or 35 cents
8 0
4 years ago
Read 2 more answers
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