Part A:
Slope of line is given by vertical distance ÷ horizontal distance
Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10
slope of the line = -5 ÷ -10 = 0.5
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Part B
The point-slope form is given by
(y - y₁) = m (x - x₁)
We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have
(y - 9) = 0.5 (x - 8)
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Part C
The slope-intercept form is given by the equation
y = mx + c
Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B
y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form
The average number of siblings will be larger than before
Answer: 443.243 and round your answer
Step-by-step explanation:
if you’re looking for difference just subtract the two numbers
Answer:
$68.97
Step-by-step explanation:
Markup is the difference between the cost of an item and the price at which it is sold:
cost price + markup = selling price
Here, the markup is said to be 70%. The base for that percentage can be either the cost price or the selling price. The way this question is worded suggests the markup is 70% of the cost price.
So, we have ...
cost price + 0.70 × cost price = selling price
or
cost price × (1 + 0.70) = selling price
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Then, to find the cost price, we can divide by its coefficient in this equation. Doing that gives ...
cost price = (selling price)/1.70
cost price = $117.25/1.70 = $68.97
The store's purchase price before the markup for this item was $68.97.
the volume (V ) of a cuboid is V = Ah
where A is the area of the base or top and h is the height
h = 180 cm = 1.8m
V = 0.6 × 1.8 = 1.08 m³
