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Arte-miy333 [17]
4 years ago
15

A triangle has vertices A (1,1) B (2,4) and C (4,2). Line p is parallel to side AB and contains point C. Write an equation for l

ine p. Part 1. Find the slope of AB. Show your work. Part 2. Use the slope from Part 1 and point C to write an equation for line p in slope-intercept form. Show your work.
Mathematics
1 answer:
zubka84 [21]4 years ago
7 0

Answer:

part 1: slope of AB : 3

equation of line p:  y = 3x -10

Step-by-step explanation:

part 1: slope of AB = (4-1) / (2-1) = 3

part 2: y = mx + b

b = 2 - (3 × 4) = -10

equation: y = 3x -10

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Grace drew a triangle with sides of equal length. Its measured with sides of 3 cm. What is the perimeter of the triangle?
Otrada [13]

Answer:

9 cm explained to

Step-by-step explanation:

explained that

4 0
3 years ago
I need help to solve this and also Hearn will the bacteria be over 100,000
lapo4ka [179]

Hello! Let's look at the two parts of this question.

Complete the table:

In this case, you just substitute the value of "hour" into the equation, for the value of t. For example:

P(0) = 120 (2)^{0}

P(0) = 120 (1)

P(0) = 120

Therefore, the number of bacteria for hour 0 is 120.

You can do this for the next ones. Hour 1 = 240, hour 2 = 480, and so on. (In this case, you can keep multiplying by 2)

Estimate when there will be more than 100,000 bacteria:

Set the final value of P(t) = 100,000, then solve.

100,000 = 120 (2)^{t}

833.33 = (2)^{t}

t = log_{2}833.33

t = 9.702744108

So your answer would be around 9.7 years, or, around 10 years.

Hope this helps!

3 0
3 years ago
The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding
aleksandr82 [10.1K]

Answer:

Height of the parallelogram = 37.5 cm

Step-by-step explanation:

As given,

Base of a parallelogram = 75 cm

Height of a parallelogram = 25 cm

As,

we know that

Area = Base × Height

        = 75 × 25

        = 1875 cm²

As the parallelogram is same

So, Area = Base × Height

⇒1875 = 50 × Height

⇒ Height = \frac{1875}{50} = 37.5 cm

So, we get

Height of the parallelogram = 37.5 cm

7 0
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I hope this helps you




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1/14


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6.222 is bigger because of itsplacevalue!!
6 0
3 years ago
Read 2 more answers
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