Answer:
1. h = 11 cm
2. d = 220 km
Step-by-step explanation:
1. A = 1/2bh
Where,
A = 66 cm²
b = 12 cm
A = 1/2bh
66 = 1/2 * 12 * h
66 = 6h
h = 66/6
h = 11 cm
2. s = d/t
Where,
s = 110 km/h
t = 2h
s = d/t
110 = d/2
Cross multiply
110 * 2 = d
d = 220 km
346
It is .346 times 1,000
Answer:
Which graph represents a function with direct variation?
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
The graph that represent direct variation in the attached figure
Answer as a fraction = 220/9
Answer in decimal form = 24.44 approximately
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Explanation:
The linear scale factor is k = 2/3.
The area scale factor is k^2 = (2/3)^2 = 4/9
We'll multiply the old area (55) by the area scale factor (4/9) to get the area of the smaller image.
55*(4/9) = 220/9 = 24.44 approximately
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).