MATHEMATICS HIGH SCHOOL

Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.

Answers

Answer 1

Answer:

Answer:

$y = -2x - 8\nOR\n2x+y+8=0$

Step-by-step explanation:

Given that there are 2 points

$A(-8,8)$ and

$B(1,-10)$

So, the coordinates are:

$x_2 = 1\nx_1 = -8\ny_2 = -10\ny_1 = 8$

Equation of a line is given as:

$y =mx+c$

where 'm' is the slope of the line, formula for 'm' is given as:

$m=(y_2-y_1)/(x_2-x_1)$

$(x,y)$ are the points that satisfy the equation of the line.

$c$ is the $y -$ intercept.

Calculating the value of m using the given coordinates:

$m=(-10-8)/(1-(-8))\n\Rightarrow m=(-18)/(9) = -2$

So, the equation of line becomes:

$y =-2x+c$

Now, putting the coordinates of point $A(-8,8)$

$8 =-2* (-8)+c\n\Rightarrow 8 = 16+c\n\Rightarrow c = -8$

Please refer to the graph of given equation of line.

The equation of line is:

$y =-2x+-8\nOR\n2x+y+8=0$

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Answers

Already asked question.
But anyways, see the attachment i have added below.
I have it typed there

The equations 6x + 5y = 300 and 3x + 7y = 285 represent themoney collected from selling gift baskets in a school fundraising
event. If x represents the cost for each snack gift basket and
y represents the cost for each chocolate gift basket, what is the cost
for each chocolate gift basket?
(1) $20 (3) $30
(2) $25 (4) $54

Answers

Answer:

$30

Step-by-step explanation:

Solving the equation given simultaneously to get the x and y variable;

6x + 5y = 300... (1) × 1

3x + 7y = 285... (2) × 2

Using elimination method, we will multiply equation 1 by 1 and equation 2 by 2 as shown above to have;

6x + 5y = 300... 3

6x + 14y = 570... 4

Subtracting equation 3 from 4, we have;

5y-14y = 300-570

-9y = -270

y = 270/9

y = 30

Since y represent the cost for each chocolate gift basket, the cost of each chocolate gift basket will be $30

(3) $30
Multiply the second equation by -2, then subtract it from the first equation. It should be
6x+5y=300
-6x-14y=-570

-9y=-270
y=30

Given that / and /, which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar?

Answers

Given that we assume that all the bases of the triangles are parallel.

We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.

Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.

Actually, the answer is ASA postulate!!!! I just took the county geometry quiz and got it correct

How much interest will be paid in 1 year for a loan of $4500 at 7 1/2% simple interest?

Answers

The answer is $337.50 paid. We would change 7 1/2% (7.5%) to its decimal form which is .075. Then we would multiply that by $4,500 which would get $337.5 or $337.50 which is the same thing. Hope this helped!

What is the slope of the line in the graph?

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:

The slop is 1 duee to my thinkiny

I need help, if you do help please dont put picture thank you!

Answers

Answer:

181

Step-by-step explanation:

Area of a semicircle: 1/2 (pi • r^2)

1/2(3.14 • 100)

1/2 ( 314 )

157

Triangle:

(6 • 8) ÷ 2

48 ÷ 2

Add the area of the triangle & semicircle together: 157 + 24 = 181

Hope this helps! Have a great day!

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