Answer:
y = -2/3x + 5
Step-by-step explanation:
(-3, 7) and (3, 3)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(3 - 7) / (3 -(-3))
Simplify the parentheses.
= (3 - 7) / (3 + 3)
Simplify the fraction.
= (-4) / (6)
= -4/6
= -2/3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2/3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -2/3(3) + b
To find b, multiply the slope and the input of x(3)
3 = -2 + b
Now, add 2 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -2/3x + 5
This is your equation.
Check this by plugging in the other point you have not checked yet (-3, 7).
y = -2/3x + 5
7= -2/3(-3) + 5
7 = 2 + 5
7 = 7
Your equation is correct.
Hope this helps!
B. Is the correct answer. For part B, he can buy 15 balloons since X=15. Plug this back into the equation to check: 2(15)+20=50.
2(15)=30+20=50.
Alright. It seems like the triangle that has the 45 degree angle with angles c & d is an isosceles triangle which meas two sides are equal.
If that is true, angle d would be 45. Add 45 and 45 together to get 90, which is angle c. The angle right across from c, a, will be 90 as well. Add 90 and 45 to get 135 and then do 180 - 135 to get angle b. Angle b should equal 45 as well. So adding each of the angles together, 90 + 45 + 90 + 45 = 360
Your final answer is 360.
Answer:
2194.8
First, 124 times 2.95 then you get 365.8 and finally you multiply by 6 and get you answer.
