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alexandr1967 [171]
3 years ago
12

What are the factors of the equation when it’s in factored form? 2a^2 + 8a - 15 = 3a - 3

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

(2a+3 ) (a-4 )=0

Step-by-step explanation:

2a^2 + 8a - 15 = 3a - 3

Subtract 3a from each side

2a^2 + 8a-3a - 15 = 3a-3a - 3

2a^2 + 5a - 15 =  - 3

Add 3 to each side

2a^2 + 5a - 15+3 = 3 - 3

2a^2 -5a -12=0

(2a+3 ) (a-4 )=0  These are the factors

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Santiago is building a skateboarding ramp by propping the end of a piece of wood on a cinder block. If the ramp begins 63 centim
tensa zangetsu [6.8K]

Answer:

65 cm

Step-by-step explanation:

See the attached image.  The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.

16^2+63^2=x^2\\256+3969=x^2\\4225=x^2\\x=\sqrt4225}\\x=65

3 0
3 years ago
In △ABC AL is an angle bisector (L∈ BC ). Point M∈ AB so that LM=AM=BM. Find the angles in △ABC, if AC=2AL.
Alex787 [66]

Since LM = AM, point M must be on the perpendicular bisector of AL. Since AM = BM, BL must be perpendicular to AL. This makes ∆ALC a right triangle with hypotenuse AC twice the length of side AL. Hence ∠LAC = ∠LAB = 60°, and AL is angle bisector, median, and altitude.

ΔABC is isosceles with ∠A = 120°, and ∠B = ∠C = 30°.

3 0
3 years ago
A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

\pi + M = 0.26 + 0.05 = 0.31

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

4 0
3 years ago
(a) An angle measures 43°. What is the measure of its supplement
Inga [223]
The answer is 137° because supplementary means the 2 angles must equal 180°
8 0
2 years ago
In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.
kolbaska11 [484]

<u>Answer:</u>

<h2>ST = 44.54 ft</h2>

<u>Explanation:</u>

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

7 0
3 years ago
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