Answer: -2
Step-by-step explanation:
Look for 1 on the x-axis and put your finger on it.
Move your finger down until it hits a point on the line.
Look to the left to see which number on y-axis corresponds with the point.
The number is the answer.
(1, -2)
Answer:
118°
Step-by-step explanation:
Because angle α and the angle that is 62° are a linear pair, that means their added angle measures are equivalent to 180°.
<u>So, to find the missing angle, subtract the known angle from 180:</u>
180 - 62 = a
118 = a
a = 118°
Selection B is appropriate.
_____
The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).
Answer:
Given
Edge of a cube = 10cm
Length, l = 12.5 cm
Breadth, b = 10cm
Height, h = 8 cm
Find out
We have to find
i) Which box has the greater lateral surface area and by how much?
ii) Which box has the smaller total surface area and by how much?
Solution
(i)
Lateral surface area of a cube = 4 * (edge)2
= 4 * 102 cm2
= 400 cm2
Lateral surface area of a cuboid = 2 (lh + bh)
= 2 (12.5 * 8 + 10 * 8) cm2
= 2 (100 + 80) cm2
= 360 cm2
So, the lateral surface area of the cubical box is greater than cuboidal box by (400 cm2 – 360 cm2) which is 40 cm2.
(ii)
Total surface area of a cube = 6 * (edge)2
= 6 * 102 cm2
= 600 cm2
Total surface area of cuboid = 2 (lb + bh + lh)
= 2 (12.5 * 10 + 10 * 8 + 12.5 * 8) cm2
= 2 (125 + 80 + 100) cm2
= 610 cm2
Therefore, the total surface area of the cuboidal box is greater than the cubical box by (610 cm2 – 600 cm2) which is 10 cm2.
Answer:
Problem 4: y = -8x+b
Problem 5: C: 3x-2
Step-by-step explanation:
<u>Problem 4:</u>
The given line is in slope intercept form.
The slope-intercept form is:

Here the co-efficient of x is the slope of the line. Comparing the given equation with general form
m = -8
Two parallel lines have same slope so the slope of line will be -8.

b can be any positive or negative integer as we don't know any point on the line parallel to given line.
<u>Problem 5:</u>
Slope = 3
y-intercept = -2
Slope intercept of line is given by:

here m is slope and b is y-intercept
Putting the values

Option C: y=3x-2 is the correct answer
Hence,
Problem 4: y = -8x+b
Problem 5: C: 3x-2