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Alex_Xolod [135]
3 years ago
9

Which graph models the equation -2x + 4y = -8?

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0
The graphs for this are very small, but I think the one that represents the solution is the third one, because with the x being 4 and the y being 0, that would make the point (4, 0) and satisfy the equation. With x being 0 and y being -2, the other point would be (0, -2). The graphs are too small to read, but whichever graph intersects over those two points I named is the answer.
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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers
icang [17]

Answer:

\huge\boxed{14\ \text{and}\ 7}

Step-by-step explanation:

n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right

\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}

\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}

8 0
3 years ago
What is the length of line segment KJ?
Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

KJ^2=KM^2+MJ^2

KJ^2=6^2+3^2

KJ^2=36+9

KJ^2=45

Now we will take positive square root on both sides:

\sqrt{KJ^2}=\sqrt{45}

KJ=\sqrt{9\cdot 5}

KJ=3\sqrt{5}

Therefore, the length of line segment KJ is 3\sqrt{5} and option D is the correct choice.

5 0
3 years ago
8. A snail is traveling at a rate of 0.64 centimeters each second. How many centimeters will
netineya [11]

Answer:

2.61

Step-by-step explanation:

4 0
3 years ago
Please help me! study island
ANEK [815]

Answer:

B. 5/6

Step-by-step explanation:

\frac{1}{3} ÷ \frac{2}{5} = 0.83333333

0.83333333 ≈ \frac{5}{6}

Hope this helps :)

3 0
3 years ago
Help me. what does pie mean?
Rus_ich [418]

Answer:

3.142

Step-by-step explanation:

sorry if im wrong.

3 0
2 years ago
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