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3 years ago

What two numbers have a product of -100 and a sum of 0

Mathematics

2 answers:

Strike441 [17]3 years ago

5 0

Answer:

10 and -10

Step-by-step explanation:

ASHA 777 [7]3 years ago

4 0

Answer:

The number 0 is called the additive identity because when you add it to a number, the result you get is the same number. For example, 4 + 0 = 4. Any two numbers whose sum is zero, such as 3 and -3, because 3 + (-3) = 0.

Step-by-step explanation:

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Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩

NISA [10]

Answer:

$\theta = 108.29$

Step-by-step explanation:

Given

$u =$

$v =$

Required:

Calculate the angle between u and v

The angle $\theta$ is calculated as thus:

$cos\theta = \frac{u.v}{|u|.|v|}$

For a vector

$A =$

$A = a * b$

$cos\theta = \frac{u.v}{|u|.|v|}$ becomes

$cos\theta = \frac{.}{|u|.|v|}$

$cos\theta = \frac{2*6+4*-7}{|u|.|v|}$

$cos\theta = \frac{12-28}{|u|.|v|}$

$cos\theta = \frac{-16}{|u|.|v|}$

For a vector

$A =$

$|A| = \sqrt{a^2 + b^2}$

So;

$|u| = \sqrt{2^2 + 6^2}$

$|u| = \sqrt{4 + 36}$

$|u| = \sqrt{40}$

$|v| = \sqrt{4^2+(-7)^2}$

$|v| = \sqrt{16+49}$

$|v| = \sqrt{65}$

So:

$cos\theta = \frac{-16}{|u|.|v|}$

$cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}$

$cos\theta = \frac{-16}{\sqrt{2600}}$

$cos\theta = \frac{-16}{\sqrt{100*26}}$

$cos\theta = \frac{-16}{10\sqrt{26}}$

$cos\theta = \frac{-8}{5\sqrt{26}}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})$

$\theta = cos^{-1}(\frac{-8}{5 * 5.0990})$

$\theta = cos^{-1}(\frac{-8}{25.495})$

$\theta = cos^{-1}(-0.31378701706)$

$\theta = 108.288386087$

$\theta = 108.29$ (approximated)

4 0

2 years ago

How would you write the equation with a slope of 2/3 and a y-intercept if -3

worty [1.4K]

Y=2/3x-3. Follow the formula y=Mx+b. M is the slope, and b is the y intercept.

5 0

2 years ago

14. Is x + 2 a factor of the polynomial f(x)=2x-3x²-4x+1?

defon

Thanks for the free 10x+ points .

8 0

2 years ago

HELP PLEASEEE!!!People develop their personal values through_ experiences.

Igoryamba

Answer:

Personal experiences.

Explanation:

This is because an individual learn from his/hers interactions and actions within a scenario where he/she can achieve growth.

8 0

2 years ago

Pierre is running 26 and 2/10 miles in the marathon. He has run 3/4 of the way. How far has he run?

Harman [31]

Pierre ran 19 and 13/20 miles.

Given:
marathon length : 26 2/10 miles
pierre's length ran : 3/4 of the way.

Multiply the fractions.
Convert the marathon length from a mixed fraction into a fraction.
26 2/10 = ((26*10)+2)/10 = (260+2)/10 = 262/10

262/10 * 3/4 = (262*3) / (10*4) = 786/40 = 19 26/40

19 26/40 simplified to 19 13/20 miles

26 ÷ 2 = 13
40 ÷ 2 = 20

3 0

3 years ago