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garik1379 [7]
3 years ago
5

Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

<u>C. (Image 092618</u>

Step-by-step explanation:

slope =  \frac{y_{2} - y_{1} }{x _{2}  - x_{1} }

y1 is 2

y2 is -1

x1 is -3

x2 is 7

substitute:

slope =  \frac{ - 1 - 2}{7 - ( - 3)}

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Given the function f(x)=x2+2x+1, find:<br><br> f( (2a−3)/5 ) =<br><br> Show working please!
Rina8888 [55]
<h3>Given</h3>
  • f(x) = x² + 2x + 1
<h3>Find</h3>
  • f((2a-3)/5)
<h3>Solution</h3>

It can be convenient to rewrite f(x) as a square, then do the substitution. That way, the algebra is simplified a little bit.

... f(x) = (x +1)²

... f((2a-3)/5) = ((2a-3)/5 +1)² = ((2a -3 +5)/5)²

... = (2/5(a+1))²

... f((2a-3)/5) = (4/25)(a² +2a +1)

7 0
3 years ago
Solve: 7.85 + q ≤ -18.15 *
Ilia_Sergeevich [38]

Answer:

q≤-26

Step-by-step explanation:

7.85+q≤-18.15

-7.85     -7.85

q≤-26

7 0
4 years ago
Dividing by 28 is the inverse of?
Fantom [35]

How do you reverse division? You multiply. So, the answer is multiplying by 28.

6 0
3 years ago
A fruit stand has 28 apples, 20 oranges, and 12 pears. What is the ratio of apples to the total pieces of fruit?
ruslelena [56]
Data:
Apples = 28
Oranges = 20
Pears = 12

<span>What is the ratio of apples to the total pieces of fruit?
Solving:
</span>\frac{apples}{apples+oranges+pears} =  \frac{28}{28+20+12} =  \frac{28}{60} \frac{\div4}{\div4} \to\:\boxed{\boxed{ratio = \frac{7}{15}}}\end{array}}\qquad\quad\checkmark<span>
</span>
5 0
3 years ago
The area of a triangle is 80x^5y^3. The height of the triangle is x^4y. What is the length of the base of the triangle?
svetoff [14.1K]
Area of a triangle is given by 1/2bh where b is the base and h is the perpendicular height of the triangle.
The area is 80x∧5y³ and the height is x∧4y
Thus; 80x∧5y³ = 1/2(x∧4y) b
         160x∧5y³ = (x∧4y)b
                  b = (160x∧5y³)/ x∧4y)
                  b = 160xy²
Therefore, the base of the triangle is 160xy²
7 0
3 years ago
Read 2 more answers
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