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Leokris [45]
2 years ago
13

Which is an equation in point slope form for the given point and slope? Point: (-3,7) Slope: 4

Mathematics
2 answers:
melisa1 [442]2 years ago
6 0

Answer:

y-7=4x(x+3)

Step-by-step explanation:

(The 4x is 4 times ...)

kipiarov [429]2 years ago
4 0

Answer:

y -7 = 4(x+3)

Step-by-step explanation:

Point-slope form is in the format of y-y_1 = m (x-x_1). When knowing a line's slope and a point it passes through, you can write an equation in that format. The m, x_1, and y_1 must be substituted for with real values.

The m represents the slope, thus substitute 4 for m. x_1 represents the x-value of one point the line passes through, while y_1 represents that same point's y-value. The line passes through (-3, 7), so substitute -3 for x_1 and 7 for y_1. This gives the following answer and equation:

y-(7) = 4(x-(-3))\\y -7 = 4(x+3)

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Which continent is estimated to have more than 5.31 billion people by 2050? To solve find what percent 5.31 is of billion is of
emmasim [6.3K]

The continent which has 59% of the total population will have more than 5.31 billion people by 2050.

<u>Step-by-step explanation:</u>

It is given that,

  • The total number of people is 9 billion.
  • The estimated number of people in 2050 year is 5.31 billion.

Therefore, you need to find out which continent has the estimated number by finding the percentage value.

<u>To find what percent 5.31 is of billion is of 9 billion :</u>

Let x be the percentage to be calculated.

⇒ x percent of 9 billion is 5.31 billion.

⇒ (x/100) × 9 = 5.31

⇒ x = (5.31 × 100) / 9

⇒ x = 531 / 9

⇒ x = 59 %

∴ The continent which has 59% of the total population will have more than 5.31 billion people by 2050.

4 0
3 years ago
Hi:) I need help with 11(a) , thanks!:))
Irina-Kira [14]

Answer:

18.95

Step-by-step explanation:

ln 2 x ln (4x) = 3

ln 4x = = 3 / ln 2

ln4x =  3 / 0.69315 = 4.3281

4x = e^4.328 = 75.80

x =  18.95.

7 0
3 years ago
Each side of a square rug is 12 feet long. if you create a scale drawing for the rug using the scale 2in = 3ft, how long will ea
stealth61 [152]
12/3 = 4 ft
4x2=8inches

Each side of the rug on the scale drawing would be 8 inches long if 2inches is equivalent to 3 feet.
8 0
2 years ago
Select all ratios equivalent to 15:5.<br> 9:3<br> 6:2<br> 3:1
natali 33 [55]

Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3,  so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

6 0
2 years ago
Suppose James has a credit card with a balance of 4289 . Each month the credit card company charges 5% interest. If James pays o
topjm [15]

Answer:

<h2>4076.56</h2>

Step-by-step explanation:

First we need to calculate the James monthly charges on his balance of 4289.

Using the simple interest formula;

Simple Interest = Principal * Rate * Time/100

Principal = 4289

Rate = 5%

Time = 1 month = 1/12 year

Simple interest = 4289*5*1/12*100

Simple interest = 21,445/1200

Simple interest = 17.87

<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>

The balance on his credit card one year from now = Principal - Interest

= 4289 - 214.44

= 4076.56

The balance on his credit card one year from now will be 4076.56

5 0
3 years ago
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