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ycow [4]
2 years ago
10

Find the coordinates of the y-intercept and x-intercepts of the following. (image!)

Mathematics
1 answer:
marissa [1.9K]2 years ago
4 0

Answer:

Step-by-step explanation:

We can do this  a couple of ways. We can graph it -- see below. Or we can do the math.

Math

y = x^2 - 2x - 15

This trinomial factors into

y = (x - 5)(x + 3)

from which

x - 5= 0

x = 5

and

x + 3 = 0

x = - 3

The y intercept is the value obtained when all the xs on the right = 0

y = 0^2 - 2*0 - 15

y = - 15

<em>Answer</em>

  • x intercepts: (-3,0),(5,0)
  • y intercept: (0,-15)

The graph is below.

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What is the formula for the area A of a trapezoid with parallel sides of length B and D, nonparallel sides of length A and C and
loris [4]

Answer:

(B) \dfrac12H (B+D)

Step-by-step explanation:

\text{Area of a trapezoid }= \dfrac12 ($Sum of the parallel sides) \times $Height\\Parallel Sides = B and D\\Height =H\\Therefore:\\\text{Area of the trapezoid }= \dfrac12 (B+D) H

The correct option is B.

4 0
4 years ago
In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.
dem82 [27]

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

∴ s² = t² + r² - 2 × t × r × cos∠S

∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

∴ s² = 26.0522432

→ Take √ for both sides

∴ s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

3 0
3 years ago
Read 2 more answers
If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student
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Do you know answer or not please give me answer
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Which statement best describes the point (2,-5)
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I believe your answer would be C. Hope this helped!
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If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a blue
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Answer:

3/13 which is 0.23 as a decimal

Step-by-step explanation:

8 0
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