Answer:
y = 2x - 3
Step-by-step explanation:
to do this problem, we will use the following formula to find the slope of the line
(y2 - y1) / (x2 - x1)
(1,5) (2,7)
(7 - 5) / (2 - 1)
2 / 1
2 = m
next, we will substitute the slope and one of the points into the slope-intercept form (y = mx + b) and solve for b to find the y-intercept
y = mx + b
7 = (5)(2) + b
7 = 10 + b
-3 = b
finally, we put it all together into one equation
y = 2x - 3
The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).
Answer: correct choice is A.
Answer:
√2 + x
Step-by-step explanation:
To obtain the hypotenus, h:
Using Pythagoras rule :
h² = opposite² + Adjacent²
Opposite = √2
Adjacent= x
h² = (√2)² + x²
Take the square root of both sides
h = √2 + x
Hence, the hypotenus is √2 + x
Answer:
16 in × 20 in
Step-by-step explanation:
- Finding the % of the picture that can fit in 16×20 frame
Area of picture= length by width
=4*6=24 in²
Area of frame=Length by width
=16*20=320 in²
% of the picture in the frame will be
(24/320) * 100% =7.5%
2. Finding the % of the picture that can fit in 18 × 24 frame
Area of picture=24 in²
Area of frame =Length by width
=18*24=432 in²
% of the picture in the frame will be;
(24/432)*100%=5.6%
The frame 16 by 20 in will keep 7.5% of the original picture
The frame 18 by 24 in will keep 5.6% of the original picture
Hence you should use the frame of 16 by 20 in because it will keep more of the original picture.
The answer is P=F/A I had a quiz on these
