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3 years ago

12

Mathematics

1 answer:

atroni [7]3 years ago

4 0

Answer:

y=5/6x -12

Step-by-step explanation:

first find the slope of the graph

by using 2 points (0,-4) (12,6)

$m = \frac{6 - ( - 4)}{12 - 0} = \frac{10}{12} = \frac{5}{6}$

and bcoz they r parallel they have the same slope,,now find the equation by using the given point

y-y=m(x-x)

y+2=5/6(x-12)

$y = \frac{5}{6} x - 12$

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Help with math assignment 3

Airida [17]

Answer:

the answer is y=3 I hope I helped

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3 years ago

Read 2 more answers

Rationalize the denominator of $\displaystyle \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}$, and write your answer in the form\[

Butoxors [25]

9514 1404 393

Answer:

Step-by-step explanation:

Apparently, you want to simplify ...

$\displaystyle \frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}$

so the denominator is rational. It looks like the form you want is ...

$\dfrac{A\sqrt{2} + B\sqrt{3} + C\sqrt{7} + D\sqrt{E}}{F}$

And you want to know the sum A+B+C+D+E+F.

We can start by multiplying numerator and denominator by a conjugate of the denominator. Then we can multiply numerator and denominator by a conjugate of the resulting denominator.

$\displaystyle =\frac{1}{\sqrt{2} + \sqrt{3} + \sqrt{7}}\cdot\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{\sqrt{2} + \sqrt{3} - \sqrt{7}}=\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{2\sqrt{6}-2}\\\\=\frac{\sqrt{2} + \sqrt{3} - \sqrt{7}}{2\sqrt{6}-2}\cdot\frac{\sqrt{6}+1}{\sqrt{6}+1}=\frac{(1+\sqrt{6})(\sqrt{2}+\sqrt{3}-\sqrt{7})}{10}\\\\=\frac{\sqrt{2}+\sqrt{3}-\sqrt{7}+2\sqrt{3}+3\sqrt{2}-\sqrt{42}}{10}=\frac{4\sqrt{2}+3\sqrt{3}-\sqrt{7}-\sqrt{42}}{10}$

Comparing this to the desired form we have ...

A = 4, B = 3, C = -1, D = -1, E = 42, F = 10

Then the sum is ...

A +B +C +D +E +F = 4 + 3 -1 -1 +42 +10 = 59 -2 = 57

The sum of interest is 57.

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3 years ago

Solve the following equation. 4 − 7 x + 10 = 15 − 6 x − 8

antiseptic1488 [7]

Answer:

x = 21

Step-by-step explanation:

4 - 7x +10 = 15 - 6x - 8

-7x + 14 = -6x -7

14 + 7 = -6x + 7x

21 = x or x=21

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3 years ago

What is the height of this triangle between C and D

Rom4ik [11]

Answer:

12 units

Step-by-step explanation:

To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.

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3 years ago

SOMEONE NEEDS TO EXPLAIN WHY 1.40 DIDNT WORK ON MY QUESTION 2.1/1.488

Zanzabum

My calculator shows that

(2.1)/(1.488) = 1.41129

which is approximate. If you want the result to two decimal places, then it would be 1.41 and not 1.40

Try 1.41 and it should work out, assuming your teacher wants two decimal places.

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2 years ago