Answer:
y = 2x + 2
Step-by-step explanation:
<em>(a) Slope
</em>
The point-slope formula for a straight line is
y₂ - y₁ = m(x₂ - x₁)
The line goes through the points (-1, 0) and (0, 2).
2 – 0 = m[0 – (-1)]
2 = m
(b) y-intercept
y = mx + b
Use the point (0, 2)
2 = 2× 0+ b
2 = 0 + b
b = 2
∴ y = 2x + 2
Answer:
the answer is b
Step-by-step explanation:
Answer:
3 cm
Step-by-step explanation:
The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...
k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3
Then the corresponding side of the smaller triangle is ...
... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm
Answer:
The garden is 4.5 ft by 6 ft.
Step-by-step explanation:
2x + 2(x+1.5) = 21
2x + 2x + 3 = 21
4x = 18
x = 4.5
<h3>
Answers:</h3><h3>
6 quarters</h3><h3>
2 dimes</h3>
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Work Shown:
d = number of dimes
q = number of quarters
q = d+4 since she has 4 more quarters than dimes
$1.70 = 170 cents
10d = value of all the dimes in cents
25q = value of all the quarters in cents
10d+25q = total value of all the coins in cents
10d+25q = 170
10d+25( q ) = 170
10d+25( d+4 ) = 170 .... plug in q = d+4
10d+25d+100 = 170 .... distribute
35d+100 = 170
35d = 170-100 ..... subtract 100 from both sides
35d = 70
d = 70/35 ... divide both sides by 35
d = 2
He has 2 dimes
q = d+4
q = 2+4
q = 6
He also has 6 quarters
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Check:
1 dime = 10 cents
2 dimes = 20 cents ..... multiply both sides by 2
1 quarter = 25 cents
6 quarters = 150 cents ..... multiply both sides by 6
(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents
This confirms the answers.
