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Novay_Z [31]
3 years ago
10

Which is an equation in point slope form of the line that passes through the points 7,5 and -4,-1

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
6 0

Answer:

the second option is the correct one

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)

m = \frac{-1-5}{-4-7} = \frac{-6}{-11} = \frac{6}{11}

Use either of the 2 points as (a, b)

using (- 4, - 1), then

y- (- 1) = \frac{6}{11}(x - (- 4)), that is

y + 1 = \frac{6}{11}(x + 4)

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Jacob is mixing salt with
77julia77 [94]

The number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a times 1 so a/b = 1 \times (a/b) = (1/b) \times a)

The given table is:

Tablespoons of salt          Cups of water

             8                                    2

             16                                   4

             24                                   6

2 cups of water gets 8 tablespoon of salt.

Then 1 cup of water gets 8/2 = 4 tablespoons of salt. (divided the numbre of cups of water and number of tablespoons of salts in 2 equal parts).

This pattern remains same for other rows of the table, since we have:

1 cup of water gets 8/2 = 16/4 = 24/6 = 4 tablespoons of salt.

Thus, the number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

Learn more about division here:

brainly.com/question/26411682

#SPJ1

4 0
2 years ago
Find(f+g)(x) for the following functions. f(x) = 12x2 + 7x + 2 g(x) = 9x + 7
Nimfa-mama [501]

Answer:

(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- We can add and subtract two function by adding and subtracting their

 like terms

Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then

     (f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x

     (f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2

* Lets solve the problem

∵ f(x) = 12x² + 7x + 2

∵ g(x) = 9x + 7

- To find (f + g)(x) add their like terms

∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)

∵ 7x and 9x are like terms

∵ 2 and 7 are like terms

∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)

∴ (f + g)(x) = 12x² + 16x + 9

* (f + g)(x) = 12x² + 16x + 9

8 0
3 years ago
Read 2 more answers
In 3-10 use the distributive property to find each missing factor
Elanso [62]

The missing factor in the equation is -21

<h3>What is a distributive factor?</h3>

The Distributive Property introduces the multiplication operator an existing mathematical statement that involves the addition operator.

From the complete question, the equation is given as:

6 \times x= (3 \times 7) + (x \times 7)

Where x represents the missing factor.

So, we have:

6x= (21) + (7x)

Remove brackets

6x= 21 + 7x

Collect like terms

6x-7x= 21

Evaluate the like terms

-x= 21

Divide both sides by -1

x= -21

Hence, the missing factor in the equation is -21

Read more about the distributive property at:

brainly.com/question/2807928

6 0
3 years ago
Emily has 7 cups of water in a jug.If she drinks 2/3 of a cup every hour.How long would it take her to drink the whole jug
zepelin [54]

It would take her 10.5 hours to drink the whole jug.

Step-by-step explanation:

Given,

Cups of water in jug = 7

Water drunk every hour = \frac{2}{3} of cup

Let,

x be the number of hours.

According to given statement;

\frac{2}{3}x=7

Multiplying both sides by \frac{3}{2}

\frac{3}{2}*\frac{2}{3}x=7*\frac{3}{2}\\x=\frac{21}{2}\\x=10.5

It would take her 10.5 hours to drink the whole jug.

Keywords: fractions, multiplication

Learn more about fractions at:

  • brainly.com/question/6459599
  • brainly.com/question/6649771

#LearnwithBrainly

8 0
3 years ago
32=x+17 help me pls if can because I don't know
Natalka [10]
Subtract 17from both sides
32-17=x
Simplify 32-17 to 15
X=15
6 0
3 years ago
Read 2 more answers
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