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3 years ago

Give the slope lf y -3 =4(x+8) and point on the line.

Mathematics

1 answer:

Olenka [21]3 years ago

6 0

Answer:

slope = 4

Step-by-step explanation:

slope is the coefficient attached to the x variable: thus the 4

so slope is 4 after you distribute the 4 to x and 8 and add 3

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What is the approximate perimeter of the triangle

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4 years ago

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What is the probability of choosing a red card from a deck of cards? Type your answer as a fraction.

siniylev [52]

Answer:

26/52 or 1/2

Step-by-step explanation:

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6 0

3 years ago

In the first week of January, there are 49 dogs and 28 cats in an animal shelter. Throughout the month, the ratio of dogs to cat

scoundrel [369]

Answer:

35 dogs

Step-by-step explanation:

Given

$49\ dogs: 28\ cats$

Required

Determine the number of dogs for 20 cats

Represent the required number of dogs as a ratio of number of cats

$x : 20\ cats$

So, we have:

$49\ dogs: 28\ cats$

$x : 20\ cats$

Since, the ratio is the same throughout, we have:

$x : 20\ cats$ = $49\ dogs: 28\ cats$

Convert ratio to fraction

$\frac{x}{20} = \frac{49}{28}$

$\frac{x}{20} = \frac{7}{4}$

Multiply through by 20

$x = \frac{7}{4} * 20$

$x = 7 * 5$

$x = 35$

5 0

3 years ago

9(m - 3) + 3m = 7m + 43

frozen [14]

$\begin{gathered} 9(m-3)+3m=7m+43 \\ \text{Multiply the parenthesis by 9 and you have} \\ \\ (9\times m-9\times\lbrack-3\rbrack)+3m=7m+43 \\ \text{Next you have} \\ 9m-27+3m=7m+43 \\ \text{Note that the 9 multiplies the m to get 9m,} \\ \text{and the 9 also multiplies the negative 3 to arrive at negative 27.} \\ \text{After applying 9 to open the parenthesis, you now have } \\ 9m-27+3m=7m+43 \\ \text{You collect like terms. In this case all expressions that have m are like terms} \\ \text{The ones that does not have m are also like terms but, separate} \\ \text{Collect like terms with m on to the left hand side} \\ 9m+3m-7m=43+27 \\ \text{Note that whenever a positive number moves over across the sign of equality,} \\ it\text{ becomes a negative number and vice versa.} \\ \text{Hence 7m has moved and now becomes -7m} \\ \text{Also -27 has moved and now becomes +27} \\ 9m+3m-7m=43+27 \\ 5m=70 \\ \text{Divide both sides by 5 to eliminate it from the left side} \\ \text{and hence m would now stand alone} \\ \frac{5m}{5}=\frac{70}{5} \\ m=14 \end{gathered}$

5 0

2 years ago

F(x) = 2x - 4<br> f(3) = [?]

Serga [27]

2 would be the answer. Replace the x with the three and multiply that with the 2 and then subtract 4.

5 0

3 years ago

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