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3 years ago

Find each missing measure.

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

6 0

The answer

a = 84

ac = 9

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What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

Pavel [41]

$\boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$

<h2>Explanation:</h2>

Using the quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ f(x) = x^2 + 5x + 5 \\ \\ \\ So: \\ \\ a=1 \\ \\ b=5 \\ \\ c=5 \\ \\ \\ x=\frac{-5 \pm \sqrt{5^2-4(1)(5)}}{2(1)} \\ \\ x=\frac{-5 \pm \sqrt{25-20}}{2} \\ \\ x=\frac{-5 \pm \sqrt{5}}{2} \\ \\ \\ Two \ solutions: \\ \\ \boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$

<h2>Learn more:</h2>

Quadratic functions: brainly.com/question/12164750

#LearnWithBrainly

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3 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>

<u>Explanation:</u>

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

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3 years ago

What number is 4 units left of 0

Zinaida [17]

Answer:

-4

Step-by-step explanation:

4 0

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Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?

sdas [7]

Answer:

the solution to this inequality is: (-6,∞).

Step-by-step explanation:

<em> " Isolating the variable means rewriting an equivalent equation in which the variable is on one side of the equation and everything else is on the other side of the equation ".</em>

<em>Here we are given an inequality as:</em>

<em>so subtracting both side by 4 we have:</em>

4x>-20-4

4x>-24

x>-6 (dividing both side by 4)

Hence we get the solution on the number line as:

all those real number which are strictly greater than -6; In intervals we can write this as:

(-6,∞).

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3 years ago

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If quarterly payments are made for 15 years, find the value for n in the following present value ordinary annuity formula.

miss Akunina [59]

Answer:

b. (60)

Step-by-step explanation:

n represents the number of payments. If there are 4 per year for 15 years, that's a total of 4×15 = 60 payments.

n = 60

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3 years ago