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Firlakuza [10]
4 years ago
8

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

Mathematics
1 answer:
kari74 [83]4 years ago
8 0
Let the equation of the given line be y=mx+a. This line has slope m and the parallel line will have the same slope.
Then the equation of the parallel line to the line y=mx+a will be y=mx+b. Since line <span>passes through the point (–2, 2), the coordinates of this point suit the equation:
</span><span>
</span><span>2=m·(-2)+b,</span>
2=-2m+b,
b=2+2m 
and the equation is y=mx+2m+2. 
You should only to paste correct m from the given equation.
<span />
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What is the perimeter of the building foundation uncovered by the archaeologists?
ss7ja [257]

Answer:

Wall of Jericho

Step-by-step explanation:

The Wall of Jericho was a Pre-Pottery Neolithic A (PPNA) defensive or flood protection wall suggested to date to approximately 8000 BC.[1] If interpreted as an "urban fortification", the Wall of Jericho is the oldest city wall discovered by archaeologists anywhere in the world.[2] It is built of undressed stones and is located at the archaeological mound known as Tell es-Sultan, in the city of Jericho on the West Bank.

The topic of this article is the unique Neolithic-age stone wall, the earliest one of its kind. Other walls, such as contemporary house walls, or later, Bronze and Iron Age city walls, are only mentioned for the sake of context.

5 0
4 years ago
You can work at most 20 hours next week. You need to earn at least $90 to cover your weekly expenses. Your dog walking job pays
Vadim26 [7]

Answer:

The answer in the procedure

Step-by-step explanation:

Let

x ----> the dog walking hours

y ----> the car washing hours

we know that

The system of linear inequalities is equal to

x+y\leq20 -----> inequality A

9x+10y\geq 90 -----> inequality B

Solve the system of inequalities by graphing

The solution is the shaded area

see the attached figure

Two possible combinations of hours are

(10,10) and (0,9)

<em>Verify</em>

For (10,10)

Substitute the value of x and the value of y in both inequalities

<em>Inequality A</em>

10+10\leq20

20\leq20  -----> is true

<em>Inequality B</em>

9(10)+10(10)\geq 90

190\geq 90 ----> is true

therefore

(10,10) is a possible solution

For (0.9)

Substitute the value of x and the value of y in both inequalities

<em>Inequality A</em>

0+9\leq20

9\leq20  -----> is true

<em>Inequality B</em>

9(0)+10(9)\geq 90

90\geq 90 ----> is true

therefore

(0,9) is a possible solution

5 0
3 years ago
On of Tho Mcd<br> 8. Write the standard form of the equation y + 4 = - 12 (x – 1).
LiRa [457]

Answer:

12x + y = 16

Step-by-step explanation:

Standard Form: Ax + By = C

Step 1: Write point-slope form

y + 4 = -12(x - 1)

Step 2: Find slope-intercept form

y + 4 = -12x + 12

y = -12x + 16

Step 3: Find standard form

12x + y = 16

5 0
3 years ago
Write an expression for the sequence of operations described below.
Sidana [21]

Answer:

m^{4}-6

Step-by-step explanation:

4 0
3 years ago
A random sample is to be selected from a population that has a proportion of successes p=.60. When n=400, what is the probabilit
Nata [24]

Answer:

0.45134

Step-by-step explanation:

Given that :

p = 0.6

n = 400

Probability that sample. Proportion falls between 0.59 and 0.62

Using Normal approximation :

Mean (m) = n * p = 400 * 0.6 = 240

Standard deviation (s) = sqrt(pq/n)

q = 1 - p = 1 - 0.6 = 0.4

s = sqrt((0.6 * 0.4) / 400) = 0.0244948

P(0.59 < p < 0.62) :

(x - m) / s

P((0.59 - 0.6) / 0.0244948) < p < P((0.62 - 0.6) / 0.0244948)

P(Z < −0.408249) < p < P(Z < 0.8164998)

Using the Z probability calculator :

0.79289 - 0.34155 = 0.45134

3 0
3 years ago
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