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Tju [1.3M]
3 years ago
6

Are the lines in the diagram perpendicular, parallel, skew, or none of these?

Mathematics
2 answers:
Rina8888 [55]3 years ago
5 0

Answer:

needs a diagram

Step-by-step explanation:

torisob [31]3 years ago
3 0

Answer:

need a diagram to be able to answer

Step-by-step explanation:

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Determine the value of a if one solution to the quadratic equation is x equals 5 + 3/2 I
Sindrei [870]

The value of a is \frac{-9}{4}

Step-by-step explanation:

<u>1. Determine the other solution of x</u>

If one value is 5 + \frac{3}{2} then the other value is 5 - \frac{3}{2}

<u>2. Use reverse technique to find the equation</u>

(5 + \frac{3}{2}) (5 - \frac{3}{2}) = 0

25 - \frac{-15}{2} + \frac{15}{2} - \frac{9x^{2} }{4} = 0

- \frac{9x^{2} }{4} + 25 = 0

<u>3. The equation is</u> - \frac{9x^{2} }{4} + 25 = 0

<u>4. Find the value of a</u>

a is the number with the variable x^{2} therefore it is - \frac{9}{4}

Keyword: quadratic equation, solution

Learn more about quadratic equation at

  • brainly.com/question/4460262
  • brainly.com/question/1332667

#LearnwithBrainly

8 0
3 years ago
A parabola with the vertex at (1.5, 12.5) inscribes a segment of length 5 on x-axis. What is the area of the triangle formed by
damaskus [11]

Answer:

  20 units²

Step-by-step explanation:

The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at

  1.5 ± 5/2 = {-1, 4}

Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...

  0 = a(4 -1.5)² +12.5

  0 = 6.25a +12.5 . . . . . simplify

  0 = a +2 . . . . . . . . . . . divide by 6.25

  -2 = a

Then the standard-form equation of the parabola is ...

  y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5

  y = -2x² +6x +8

This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...

  A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²

5 0
2 years ago
If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fa
Nesterboy [21]

This question is not complete because his height and age was not indicated in the above question.

Complete Question:

Rick is a healthy 19-year-old college student who is 70 inches tall and weighs 205 pounds. He has decided to "get a six-pack" over the summer with a diet and exercise program. As part of his new plan, he has stopped drinking soda and is eating more salads in addition to his usual diet. Besides of these changes, he is unclear on how to proceed to reach his fitness goal. Rick's mother wants to make sure his approach will not interfere with his normal growth and development, and has asked him to seek reliable information to help him make a reasonable plan.

If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fat, the recommended maximal weight loss is one pound per week. Since there are 3500 kcalories in a pound of body fat, a deficit of 3500 kcalories for the week or 500 kcalories per day would be required. Calculate the maximum number of kcalories Rick can consume per day to achieve a weight loss of one pound per week. Assume that his weight is 205 pounds and that his physical activity factor is "low active."

Answer:

2696 kilocalories

Step-by-step explanation:

STEP 1

First we need to calculate Rick's Basal Metabolic Rate( BMR)

Weight in pounds = 205 pounds

Age = 19 years

Height in inches = 70 inches

The formula for calculating Basal Metabolic Rate for men =

BMR = 66.47 + ( 6.24 × weight in pounds ) + ( 12.7 × height in inches ) − ( 6.755 × age in years )

BMR = 66.47 + ( 6.24 × 205 ) + ( 12.7 × 70 ) − ( 6.755 × 19)

= 2247

STEP 2:

The next step is to calculate the maximum amount kilocalories per day Rick should consume

Formula is given as :

For a person with physical activity factor of a ' low Active'

Maximum amount of kilocalories to consume per day = Basal Metabolic rate × 1.2

= 2247 × 1.2

= 2696 Kilocalories (kcalories) per day

6 0
3 years ago
Diane's cat has a tail that is 48 centimeters long. How many millimeters is the length of the tail?
Romashka [77]

Answer:

480 millimeters

Step-by-step explanation:

<u>Step 1:  Convert centimeter to millimeter</u>

1 centimeter = 10 millimeters

48 * 10 = 480 millimeters

Answer:  480 millimeters

5 0
3 years ago
1.) What is the relationship between sine &amp; cosine?
Dmitry [639]
It's A ...cos (90- theta) = sin theta

so A
3 0
3 years ago
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