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ICE Princess25 [194]
3 years ago
13

A line passes through the point (-4,-8) and has a slope of -5/2.

Mathematics
2 answers:
makvit [3.9K]3 years ago
4 0

\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = m\implies -\cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=-\cfrac{5}{2}[x-(-4)] \\\\\\ y+8=-\cfrac{5}{2}(x+4)\implies y+8=-\cfrac{5}{2}x-10\implies y=-\cfrac{5}{2}x-18

kogti [31]3 years ago
3 0
Here you go, and please mark brainliest :)

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1 and 3/4 times 1 and 1/3
Orlov [11]

Answer:

7/3

Step-by-step explanation:

Simplify the following:

(1 + 3/4) (1 + 1/3)

Hint: | Put the fractions in 1 + 1/3 over a common denominator.

Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:

(1 + 3/4) 3/3 + 1/3

Hint: | Add the fractions over a common denominator to a single fraction.

3/3 + 1/3 = (3 + 1)/3:

(1 + 3/4) (3 + 1)/3

Hint: | Evaluate 3 + 1.

3 + 1 = 4:

(1 + 3/4)×4/3

Hint: | Put the fractions in 1 + 3/4 over a common denominator.

Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:

4/3 4/4 + 3/4

Hint: | Add the fractions over a common denominator to a single fraction.

4/4 + 3/4 = (4 + 3)/4:

4/3 (4 + 3)/4

Hint: | Evaluate 4 + 3.

4 + 3 = 7:

7/4×4/3

Hint: | Express 7/4×4/3 as a single fraction.

7/4×4/3 = (7×4)/(4×3):

(7×4)/(4×3)

Hint: | Cancel common terms in the numerator and denominator of (7×4)/(4×3).

(7×4)/(4×3) = 4/4×7/3 = 7/3:

Answer: 7/3

8 0
3 years ago
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How much water can this container hold? use 3.14 to apporximate pi.
zimovet [89]

Answer:well you need to know the actual height and diameter of the container if it's a curved shape

Step-by-step explanation:

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3 years ago
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Question 4 of 5
Vanyuwa [196]

The solution set of -4(x + 3) ≤ -21 is x ≥ 2.25

<h3>How to graph the solution set?</h3>

The inequality is given as:

-4(x + 3) ≤ -21

Divide both sides by -4

x + 3 ≥ 5.25

Subtract 3 from both sides

x ≥ 2.25

This means that the solution set of -4(x + 3) ≤ -21 is x ≥ 2.25

See attachment for the number line

Read more about inequality at:

brainly.com/question/25275758

#SPJ1

6 0
2 years ago
A box contains 24 light bulbs, of which two are de- fective. If a person selects 10 bulbs at random, without replacement, what i
Lerok [7]

Total light bulbs = 24

Defective bulbs = 2

Non defective bulbs = 22

The probability of selecting 10 bulbs with two defective bulbs

We will use combination formula which states:

^nC_r = \frac{n!}{r!(n-r)!}

= \frac{^2C_2 \times ^{22}C_8}{^{24}C_{10}}

= \frac{10 \times 9}{24 \times 23}

= \frac{90}{552}

= 0.16

Therefore, the probability that both defective bulbs will be selected is 0.16

6 0
3 years ago
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