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ivolga24 [154]
3 years ago
11

Can someone solve point-slope lines and show work? I’m confused

Mathematics
1 answer:
Bad White [126]3 years ago
8 0

Answer:

Option (2)

Step-by-step explanation:

Equation of a line passing through a point (x', y') and slope 'm' is given by,

y - y' = m(x - x')

From the question in the picture attached,

Slope of the line 'm' = -\frac{7}{10}

Line passes through a point (80, -71).

Equation of the line will be,

y + 71 = -\frac{7}{10}(x-80)

y = -\frac{7}{10}x+56-71

y = -\frac{7}{10}x-15

Option (2) will be the answer.

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A popular television game show, Let's Make a Deal, from the 1960s and 1970s featured a new car hidden behind one of three doors,
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Answer:

33.33% probability of winning the car

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 3 doors.

One of them has the car.

What is the probability of winning the car?

1/3 = 0.3333

33.33% probability of winning the car

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4 years ago
Working together Brodie and Cindy can cut 6 lawns in 3 hours.
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2 lawns per hour is the answer
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3 years ago
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30 points!!
Sedbober [7]

Answer:

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

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The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, a
Roman55 [17]

Answer:

64\ \text{sq. units}

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}

The area of the rhombus is 64\ \text{sq. units}

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

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Given the following data for resting heartrate among college students, what is the IQR? 57, 59, 60, 62, 62, 63, 64, 68, 70, 70,
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Answer:

14

Step-by-step explanation:

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57, 59, 60, 62, 62, 63, 64, 68, 70, 70, 71, 71, 73, 79, 87, 89, 90

The data set has 17 values, the first quartile is the average between the 4th and 5th values, while the third quartile is the average between the 13th and 14th values:

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The IQR is:

IQR = Q_3 - Q_1 = 76 -62\\IQR = 14

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3 years ago
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