Answer:
Step-by-step explanation:
Point-slope form: when the given point is and the slope is
Plug in the point (-10,4)
Two negatives make a positive
Plug in the slope
I hope this helps!
Answer:
Divide both sides by 3.
(x+2)^2=16
Square root both sides.
x+2= ± 4 (plus OR minus, can be either so we have to include both)
Minus 2 from both sides.
x=-2 ± 4
Add and minus the 4 to -2.
x = -2-4 = -6 and x=-2+4 = 2
Answer:
x = 41
Step-by-step explanation:
(2x+20) + (2x-4) = 180 degrees
4x+16 = 180 degrees
4x = 164
x = 41
The two sides are supplementary and add up to 180 degrees.
Answer:
In order of increasing slope:
B: y = 0
A: y = 2x-3
C: y = 3x+1
Step-by-step explanation:
(3,3), (5,7), and (6,9) are points on line A.
Use the coordinates of two of the points to find the slope of A.
Δy =7-9 = -2
Δx =5-6 = -1
Slope = Δy/Δx = 2
Equation for line of slope 2 that passes through (3,3):
y-3 = 2(x-3)
y = 2x-3
(3,0) and (5,0) are points on line B. They are horizontally aligned, so the equation for line B is y=0. Slope = 0.
You were given the equation for C: y = 3x+1. Slope = 3
In order of increasing slope:
B: y = 0
A: y = 2x-3
C: y = 3x+1
Answer:
The amount is sufficient to make 75 tarts.
Step-by-step explanation:
We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.
The half cup of hazelnuts will weigh 2 ounces .
1 kg equals 35.274 ounces.
Since each tart needs ½ cup of hazelnuts and half cup of hazelnuts will weigh 2 ounces, so we will divide 176.37 ounces by 2 to find number of tarts.
Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.