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ozzi
2 years ago
7

Write an equation of the line that passes through the given point and is perpendicular to the given line. 1 (-6, -4); y = 3x + 1

​
Mathematics
1 answer:
klasskru [66]2 years ago
7 0

Answer:

y= -1/3x - 6

Explain:

For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be           y = -1/3x - 6.

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Which of the following have two congruent parallel bases? Check all that apply. A. Cone B. Circle C. None of these D. Cylinder E
koban [17]

Answer: D. cylinder F. prism


Step-by-step explanation:


From the given figures in the options , only cylinder and prism have two congruent parallel bases.

  • A cylinder is a solid figure which has the two congruent parallel bases i.e. circles.
  • A prism is a solid shape that has two parallel congruent sides which are called bases and they are joined by the lateral faces that are parallelograms.

Rest of other options do not have congruent parallel bases.

4 0
2 years ago
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What is the simplified sum of 3x/x-4 + x-3/2x
zubka84 [21]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>-1 - 1/2x</em>

▹ Step-by-Step Explanation

3x ÷ x - 4 + x - 3 ÷ 2x

Divide and Rewrite:

3 * 1 - 4 + x - 3 ÷ 2 * x

Calculate:

3 - 4 + x - 3/2x

-1 + x - 3/2x

= -1 - 1/2x

Hope this helps!

CloutAnswers ❁

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4 0
3 years ago
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Use the counting techniques from the last chapter. A bag contains three red marbles, four green ones, one fluorescent pink one,
sergiy2304 [10]

Answer:

The probability that she gets all the red ones, given that she gets the fluorescent pink one, is P=0.0035 or 0.35%.

Step-by-step explanation:

Susan grabs four marbles at random.

We have to calculate the probabilities that he picks the 3 red ones, given that she already picked the fluorescent pink.

If it is given that the fluorescent pink is already picked, we are left with three red marbles, four green ones, two yellow ones, and four orange ones. A total of 13 marbles.

The probability that the second marble is red is 3 in 13.

The probability that the third marble is also red is 2 (the red marbles that are left) in 12 (the total amount of marbles left), as there is a picking without replacement.

The probability that the fourth marble is 1 in 11.

Then, the probability that the 3 red marbles are picked, is:

P=P_1\cdot P_2\cdot P_3=\dfrac{3}{13}\cdot \dfrac{2}{12}\cdot \dfrac{1}{11}=\dfrac{6}{1716}=0.0035

4 0
3 years ago
Alicia ran 5 miles over the weekend. Approximately how many kilometers did she run? [Use the conversion 1 mile ≈ 1.6 kilometers.
Svet_ta [14]

Answer:

Total distance Alicia run in kilometer = 8 Kilometer

Step-by-step explanation:

Given:

Total distance Alicia run = 5 miles

1 mile ≈ 1.6 kilometer

Find:

Total distance Alicia run in kilometer

Computation:

Total distance Alicia run in kilometer = 1.6 × 5

Total distance Alicia run in kilometer = 8 Kilometer

3 0
2 years ago
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mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and potatoes does he need for 15 serving
VLD [36.1K]
Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.
7 0
2 years ago
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