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3 years ago

It solves the systems of equations.

Mathematics

1 answer:

Reil [10]3 years ago

3 0

3. Reduction

For example,
11x - 3y = 69
-3x + 3y = 3
___________
8x + 0y = 72 => x = 72/8 => x = 9 => -27 + 3y = 3 => 3y = 30 => y = 30/3 => y = 10.

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Which graph represents a function with direct variation?

sweet [91]

This is easier than you think!

When a graph shows direct variation, it always passes through the origin

The origin is (0, 0)

The very center!

Your answer is the first graph!

5 0

3 years ago

Read 2 more answers

FInd mPQ Geometry question, circles, arc length, chord length,

Fed [463]

Answer:

$\text{B. }26}$

Step-by-step explanation:

Since $\overline{PN}$ and $\overline{PQ}$ are equal, we can set them equal to each other:

$7x+5=10x-4,\\9=3x,\\x=3$

Substitute $x=3$ to solve for $\overline{PQ}$ :

$\overline{PQ}=10(3)-4=\boxed{\text{B. }26}}$

3 0

3 years ago

Overnight the temperature dropped 1.3 degrees every hour how many hours did it take the temperature to drop 7.8 degrees

antiseptic1488 [7]

6 and 1/2 hours in total. divide 7.8 by 1.3

7 0

3 years ago

After one hour, the hare had finished 2/3 of a 100-yard race. In that same time, the tortoise had finished 42 3/4 yards. How muc

andriy [413]

Answer:

23 11/12 yards or 23.9166 yards

Step-by-step explanation:

2/3 of 100 yard race is equivalent to 66 2/3 yards. Tge difference between the above and 42 3/4 yards covered by tortoise will be

66 2/3- 42 3/4= 23 11/12 yards or 23.91666 yards

5 0

4 years ago

Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

4 0

3 years ago