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Free_Kalibri [48]
3 years ago
5

Can someone help me with (a) and (c)? Thanks! ;D

Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0

Answer:

Step-by-step explanation:

a) Mark any two points in line a

(0,7)  ; (5,-3)

Find the slope

slope = y2 - y1 /x2-x1

=\frac{-3-7}{5-0}\\\\=\frac{-10}{5}\\\\=-2

Equation: y-y1 = m(x-x1)

y - 7 = -2(x - 0)

y - 7 = -2x

y = -2x + 7    --------> line a

c) equation of line b

(2,-1);  slope = -2  {as b line is parallel to line a}

y - y1 =m(x-x1)

y -(-1) = -2*(x - 2)

y + 1 = -2x - 2*-2

y + 1 = -2x + 2

y = -2x + 2 -1

y = -2x +1   ------> equation of line b

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Answer:

Snickerdoodles are 0.22$ each and chocolate chip are 0.43$ each

Step-by-step explanation:

using the information in the problem, you can make 2 separate equations: 8x+12y=6.92 and 5x+5y=3.25, let x= the cost of a snickerdoodle and y= the cost of a chocolate chip cookie.

With the 2 equations, we can isolate the y variable of the first equation and simplify which will give us y= -2/3x +6.92/12.

You can now take that equation and plug it into equation number 2:

5x+5(-2/3x + 6.92/12)=3.25.

solve that equation by multiplying 5 through the brackets: 5x-10/3x+34.6/12=3.25

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8 0
3 years ago
5x +7 y=-17<br> 4x – 3y = -5<br> Substitute.
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Answer:

(x,y) = (-2, -1)

Step-by-step explanation:

We start off by substituting the value of "x".

5x+7y=-17

x=-\frac{5}{4} + \frac{3}{4}y

We then solve 55(-\frac{5}{4}+\frac{3}{4}y ) +7y= -17

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3 years ago
Whats 2.42 as a fraction?
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PLEASE HELP QUESTION IN PICTURE
sp2606 [1]

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

  • This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

  • b + (25+100)=180
  • b + 125 = 180

Step 2: Subtract 125 from both sides.

  • b + 125 - 125 = 180 - 125
  • b = 55

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

  • This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

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Therefore, d = 55.

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