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lana66690 [7]
3 years ago
6

Factor the expression. d2 + 12d+ 36

Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0

Answer:

the factored expression is

(d+6)(d+6) or (d+6)^2

Step-by-step explanation:

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Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
masha68 [24]

Answer:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used  .

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

Now Using Subtraction property we will subtract both side by 30 we get;

Now Using Division Property we will divide both side by 2 we get;

Hence the Width of the garden will be 9 feet.

4 0
3 years ago
Find the slope of the line passing through each of the following pairs of points.
BARSIC [14]

Look carefully at the first pair:  (−3, 9), (−3, −5)  Note that x does not change, tho' y does.  This is how we recognize a vertical line (whose slope is undefined).  The equation of this vertical line is x = -3.

Looking at the second pair:  from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.

Third pair:  as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis).  The slope is undefined.

5 0
3 years ago
A group of middle school students attends a field trip. There were 24 seventh-grade students and 28 eighth-grade students on the
Anastasy [175]

Answer:

6:7

Step-by-step explanation:

A ratio is written as x:y where x and y are numbers in there most simplified form. In the ratio 24:28 both numbers are divisible by four, so divide each side by four and you have your answer.

7 0
3 years ago
Read 2 more answers
If 60% of the students in the classroom have a pet at home. If 15 students have a pet, what is the total number of students in t
torisob [31]
There are 25 students in the classroom
3 0
2 years ago
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
faust18 [17]

Answer:

Almost 2.5% of the students spent more than $275 in a semester.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 235

Standard deviation = 20

According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester?

95% of the measures are within 2 standard deviation of the mean. The other 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of those are below two standard deviations of the mean and 2.5% are more than two standard deviations above the mean.

235 + 2*20 = $275

Almost 2.5% of the students spent more than $275 in a semester.

4 0
3 years ago
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