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Tems11 [23]
3 years ago
14

Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.

Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer:

Step-by-step explanation:

- 16t² +400 = 0

t² = 400/16

t² = 25

t = 5 or t = - 5

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Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .
PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

y = -\frac{3}{2}x+\frac{17}{2}

Step-by-step explanation:

Given equation of line is:

4x - 6y + 7 = 0

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}

The standard form of slope-intercept form of equation is:

y=mx+b

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}

The equation of perpendicular will be:

y = m_1x+b

Putting the value of slope

y = -\frac{3}{2}x+b

To find the value of b, putting (3,4) in the equation

4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}

So the equation of line perpendicular to given line passing through (3,4) is:

y = -\frac{3}{2}x+\frac{17}{2}

7 0
3 years ago
On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million A
Alexeev081 [22]

Answer: $343849

Step-by-step explanation:

Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:

= 77 million / 1.42

= $54.225 million

Therefore, the value in U.S. Dollars per pound for the heroin will be:

= $54.225 million / 157.7

= $343849 pee pound

5 0
3 years ago
Which number completes the Pythagorean Triple of 14, 48, x?
kykrilka [37]
<h3>Answer:</h3>

50

<h3>Step-by-step explanation:</h3>

These numbers are double those of the (7, 24, 25) triple. 2×25 = 50.

You can also figure it out from ...

... x = √(14² +48²) = √(196 +2304) = √2500 = 50

3 0
3 years ago
I have a super hard question and i need help<br><br> what is <img src="https://tex.z-dn.net/?f=5%5E%7B2%7D" id="TexFormula1" tit
Nastasia [14]

Answer:

5^{2} = 25 :) hope this helps

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(01.03) What number should be placed in the box to help complete the division calculation? (4 points) long division setup showin
Olin [163]

Answer:

i don't know if this is correct, but i think you place 2 in the box.

Step-by-step explanation:

you need to try to find the closetest multiple to find the division answer. so whichever one is closer is the one you need to use. mulitpy 2 to see if that's gets you anywhere, but something times 2 will get you 702. because if it ends in 2,4, or 6 it's a factor of 2. i hope this helps, but i'm not sure!

8 0
3 years ago
Read 2 more answers
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