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skelet666 [1.2K]
3 years ago
13

Line JK passes through points J(-4,-5) and K(-6,3). If the equation of the line is written in slope-intercept form, y-mx+b, what

is the value of b?
Mathematics
2 answers:
Olegator [25]3 years ago
6 0

Answer:

Step-by-step explanation:

A) -21

Ksju [112]3 years ago
4 0
y=mx+b \\ \\
(x,y)=(-4,-5) \hbox{ and } (x,y)=(-6,3) \\ \Downarrow \\
-5=-4m+b \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \times (-3) \\
3=-6m+b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times 2 \\ \\
15=12m-3b \\
\underline{6=-12m+2b} \\
21=-b \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\times (-1) \\
\boxed{b=-21}

The value of b is -21.
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What is 35.6 × 10−4 in standard form?
Fittoniya [83]

35.6\times10^{-4}=35.6\times0.0001=0.00356


a^{-n}=\dfrac{1}{a^n}\\\\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10000}=0.0001

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3 years ago
∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.
Georgia [21]

Answers:

  • x = 10
  • angle CAT = 126 degrees
  • angle MUD = 54 degrees

=========================================================

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

11x+16 + 4x+14 = 180

(11x+4x) + (16+14) = 180

15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

  • m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
  • m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees

Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.

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2 years ago
6 soccer balls for $150
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the cost of one soccer ball is 150/6 or 25 dollars.

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3 years ago
Read 2 more answers
Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for
Zolol [24]

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

  • <u>15 cups of honey beans</u>
  • <u>9 cups carrots</u>
  • <u>12 cups cherry tomato</u>
  • <u>192 oz. vegetable broth</u>
  • <u>10.5 cup turnips</u>
  • <u>6 teaspoon salt</u>
  • <u>8 cups potato onions</u>
  • <u>1.25 teaspoons thyme</u>
  • <u>12 teaspoons garlic</u>

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

<em>The recipe for the beans soup is as follows as obtained from an online home work document are</em>;

<em>Vegetable Bean Soup that Serves 4 with volume of 0.</em>\overline 3<em> gallons</em>

<em>1.25 cups of honey beans</em>

<em>0.75 cup carrots</em>

<em>1 cup cherry tomato</em>

<em>16 oz. vegetable broth</em>

<em>0.875 cup turnips</em>

<em>0.5 teaspoon salt</em>

<em />0.\overline 6<em> cup potato onions</em>

<em>0.125 teaspoon thyme</em>

<em>1 teaspoon garlic</em>

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0.\mathbf{\overline 3} gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × 0.\overline 6 = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

  • 15 cups of honey beans
  • 9 cups carrots
  • 12 cups cherry tomato
  • 192 oz. vegetable broth
  • 10.5 cup turnips
  • 6 teaspoon salt
  • 8 cups potato onions
  • 1.25 teaspoons thyme
  • 12 teaspoons garlic

Learn more here:

brainly.com/question/20364628

brainly.com/question/21464667

3 0
2 years ago
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