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djyliett [7]
3 years ago
8

Pls help i need it asap

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer: y = 4x - 4

Step-by-step explanation:

The line goes through -4 on the y axis meaning its y intercept is -4

and the line goes up by 4 ( that being the slope )

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M is the centroid (center of gravity) of △ABC, line k goes thru M and intersects AB and AC . The distances of the vertices B and
lana [24]

Answer:

  30

Step-by-step explanation:

The midpoint of BC will be a distance from line k that is the average of the distances of B and C: (17+13)/2 = 15. Call that midpoint P. We know distance MP is half of distance MA. This same relationship will hold with respect to the distances from P and A to any line through M. That is, the distance from line k (through M) is twice the distance from P to line k: 30 units.

5 0
3 years ago
What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.
Romashka [77]
Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online.  Anyhow, check your unit circle for cos(30°) and sin(30°).

\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad tan(30^o)=\cfrac{sin(30^o)}{cos(30^o)}
\\\\\\
tan(30^o)=\cfrac{\quad \frac{1}{2}\quad }{\frac{\sqrt{3}}{2}}\implies tan(30^o)=\cfrac{1}{2}\cdot \cfrac{2}{\sqrt{3}}\implies tan(30^o)=\cfrac{1}{\sqrt{3}}
\\\\\\
\stackrel{\textit{and now if we rationalize the denominator}}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}}
8 0
3 years ago
Read 2 more answers
Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13 4x-y=-9
Tems11 [23]

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides:

-3y = 21

Divide both sides by -3:

y = 21/-3

y = -7

Now you have X = -4 and y = -7

(-4,-7)

3 0
3 years ago
What is the distance from X to Y?
densk [106]

Answer:

15

Step-by-step explanation:

distance formula

\sqrt{((x2-x1)^2 + (y2-y1)^2)}

\sqrt{(9-0)^2 + (-6-6)^2}

\sqrt{81 + 144}

\sqrt{225}

15

7 0
2 years ago
Question 9 of 10
Stells [14]

Answer:

A. The shopper receives a discount now and pays sales tax on the

discounted price of the item. I think, makes most sense

7 0
3 years ago
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