Answer:
y=-1x+3
y-2=3(x-1)
Step-by-step explanation:
Slope: -1
y-intercept: 3
Answer:
336 plants
Step-by-step explanation:
To find the number of tickseed plants that Michael needs to plant in his garden, we have to find the area of the garden first.
We notice that the garden has the shape of a right triangle: so, we have to find the area of the right triangle.
The area of a triangle is given by the formula
where
A is the area
b is the length of the base
h is the height of the triangle
From the figure, we see that:
b = 7 m is the length of the base
h = 24 m is the height of the triangle
Therefore, applying the formula, we find the area of the garden:
We also know that Michael wants to plant 4 tickseed plants for each square meter of area; therefore, the total number of plants that Michael will plant is 4 times the area of the garden, so:
If the sale was for 30% off, then she paid 70% of the regular price
100%-30%=70% or 0.70
72*0.70=$50.40
Answer= $50.40
Answer:
3. DF = 15
4. (x +y +2)(x +y +3)
5. Tuesday
Step-by-step explanation:
3. The angle congruence tells you the triangles are similar. Corresponding sides have a ratio of 5/4:
DE/AB = 10/8 = 5/4
EF/BC = 12.5/10 = 5/4
DF/AC = ?/12 = 5/4
Multiplying by 12, we find ...
DF = 12(5/4) = 15
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4. The first three terms look like (x+y)². The next two look like 5(x+y). So we can group terms to make the expression look like ...
(x+y)² + 5(x+y) +6
We recognize factors of 6 that sum to give 5 as being 2 and 3, so we can factor this as ...
(x+y +2)(x+y +3)
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5. Jan 1 falls on a day of the week that is the first of 3 days of which there are 5 in the month.
There are 3 days between Monday and Friday, but only 2 days between Friday and Monday. Hence the 1st of January must fall on Tuesday that year.
There will be 4 of Fri, Sat, Sun, Mon, and 5 of Tue, Wed, Thu in the month.