Answer:
x<5
Step-by-step explanation:
-3x > -15
Divide -3 on both sides:
x<5
*Note the sign switches because
the x is negative. The sign only
switches when the number you
are dividing by is negative.*
20 POINTS!!!
2 answers:
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Answer:
Graph A = 20miles/gallon
Graph B = 20
Step-by-step explanation:
For graph A, to find the change you will need to choose two points from the graph (the easier the better)
So for example, I've chosen 40miles-2gallons (2, 40) and point 0 (0, 0)
Now you will need to remember the slope formula which is:
so your point (x1, y1) will be (0, 0)
and point (x2, y2) will be (2, 40)
so
which is
and so you get that the slope will be 20 miles/gallon
For graph B, what they want you to see is that change of y/change of x means the same as change of miles/change of gallons since x is the gallons and y is the miles.
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
