9514 1404 393
Answer:
(a) (4, 8)
Step-by-step explanation:
Apply the transformation rule to the coordinates of point H.
(x, y) → (x +8, y +5)
H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)
Hi!
Remember that an x-intercept is a point in which the line touches the x-axis (the horizontal line). And, the y-intercept is a point in which the line touches the y-axis (the vertical/up and down line)
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For A)
The coordinate of the y-intercept is (0,1)
The coordinate of the x-intercept is (3,0)
For B)
The coordinate of the y-intercept is (0,0)
The coordinate of the x-intercept is (0,0) !
*both the x and y axis meet at the origin. So, a line that goes through the origin (0,0) is intersecting with BOTH the x and y-axis.
Hope I helped! Comment if you have any questions or concerns.
-Gabby5792
Assuming that the two investments are X & Y
X + Y = 6300
X = 6300 - Y (1)
9/100X + 4/100 Y = 372 (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400
I hope this is helpful
Answer:
The number of Pumpkin can used = 48 cans
The number of Green Beans can used = 16 cans
Step-by-step explanation:
The ratio of Pumpkin to Green Beans = 3 : 1
So, for every 3 can of Pumpkin, 1 can of green beans is used.
Now, the total number of John wants to use = 64
Let us assume the common factor in the ratio is m.
⇒ The number of Pumpkin can used = 3 m
The number of Green Beans can used = 1 m = m
So, the Total cans used = Number of (Pumpkin + Green Beans) can
⇒ 3 m + m = 64
or, 4 m = 64
⇒ m = 64/ 4 = 16
Hence, The number of Pumpkin can used = 3 m = 3 x 16 = 48 cans
The number of Green Beans can used = m = 16 cans
