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Elden [556K]
3 years ago
12

Write x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0
X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4,   (-4)^2 = 16,  add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3
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Time it took runner A to complete the marathon = 26.2 / 5.6 = 4 hrs 41 mins
Time it took runner B to complete the marathon = 26.2 / 6.4 = 4 hrs 6 mins

Time it took runner B to complete the marathon relative to when runner A started = 30 mins + 4 hrs 6 mins = 4 hrs 36 mins

Therefore, runner B will finnish ahead of runner A.

Let x be the time the two runners are at the same point, then
5.6x + 5.6(0.5) = 6.4x
6.4x - 5.6x = 2.8
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<span>Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.</span>

5 0
3 years ago
A triangle has the side lengths of 12, 34, 45. Is it a right triangle?
deff fn [24]

Answer:

no

Step-by-step explanation:

a^2+b^2=c^2?

12^2+34^2=45^2?

1300≠2025

5 0
3 years ago
O
Marizza181 [45]

Answer:

325 miles

Step-by-step explanation:

Given that,

A car travels 390 miles in 6 hours.

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6 hours = 390 miles

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In 5 hours,

5 hours = (65×5) miles

= 325 miles

So, it will travel 325 miles in 5 hours.

3 0
3 years ago
A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the followi
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The surface area would be subtracted by 1/2
4 0
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Identify the volume and surface area of the sphere in terms of π.
Anastasy [175]

Answer:

Sphere Formulas in terms of radius r:

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5 0
3 years ago
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