Answer:
Step-by-step explanation:
y - 3 = -6(x - 4)
y - 3 = -6x + 24
y = -6x + 27
Answer:
210 student's
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students
A) h(x) = f(x) +g(x)
.. h(x) = (5x +15) +(4x +20)
.. h(x) = 9x +35
b) f(4) = 5*4 +15 = 35
.. h(4) = 9*4 +35 = 71
If Frank gets half their combined pay for working the same time period, he makes more money by splitting with Gertrude (who loses money in the deal).
_____
Frank breaks even in the team by working 5 hours. When he works more time than that, he's better off by himself. (The reverse is true for Gertrude.)
Answer: Deal one: y = 8.99x + 5 Deal two: y = 6
Step-by-step explanation: I'm not quite sure how you want the equation, but I hope this helps.
Image of the triangle is attached
Answer:
24 cm
Step-by-step explanation:
If two triangles are similar, the corresponding sides must be in the same ratio.
From the diagram, the height of the triangle is 36cm.
But the height of triangle ABE = h,
To find the height of triangle BCD, let's subtract the height of triangle ABE from 36cm.
Therefore.
Height of BCD = 36 - h.
Since the triangles are similar and their corresponding sides have the same ratio, we have the expression:
Substituting figures, we have:
Cross multiplying, we have:
20(36-h) = 10 * h
720 - 20h = 10h
720 = 10h + 20h
720 = 30h
h = 24 cm
Therefore, the height of triangle ABE is 24cm
