Answer:
Step-by-step explanation:
- 5x² - 20x + 15 = 0
- x² - 4x + 3 = 0
- x² - 4x + 4 = 1
- (x - 2)² = 1
- √(x - 2)² = √1
- x - 2 = ± 1
- x = 2 ± 1
- x = 1, x = 3
Answer:
Step-by-step explanation:
From the graphs attached,
Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).
When these points have been rotated by 90° about the origin,
Rule for the rotation will be,
(x, y) → (y, -x)
Therefore, coordinates of the image points will be,
(-4, 2) → (2, 4)
(-1, 10) → (10, 1)
Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.
Answer:
Option A -The height of the building is 105 ft
Step-by-step explanation:
to get the height of the building, we calculate using SOH CAH TOA
TOA = OPPOSITE / ADJACENT
Tan 59° = h / 63
Height = tan 59° X (63)
Height = 1.6643 X 63
Height = 104.85
Height = 105 ft
Answer:
no
Step-by-step explanation:
We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:
hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)
= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35
= 17 22/35 . . . . cm
We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.
17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm
The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so <em>the hole is smaller than the pot</em>.
The pot will not fit into the plant pot holder.
_____
You can use your calculator to find the free space around the pot by computing ...
20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm
Negative space means the pot is larger than the hole.
First you'd work around the parenthesis, getting you a reduced problem of -2x-6-5.
combine like terms to receive -2x-11
now treat the f(x) as Y and you'll get y=-2x-11; toss it onto a graph and plot the individual points (your answer options)
all points except for A do not touch the line, resulting in your answer to be letter A!
hope this helps :)
