1.y<=1-3x, the slope is the number with x so -3, and the y intecept is the lone number so -1 becuase the symbol includes equal to, the graph would have a solid line that passes through (0,1) and since it is also less than the shaded region would be below the line so the answer is D
2. -1x2 = -2 +-1 = -3 which is greater than -3, the answer is A
3. y-2x =-3, -1 - 2(1) = -1-2 = -3 this is less than or equal to -3. Answer is D
4 the symbol is greater than or equal to, so it would be a solid line with the shaded portion to the right of the line, Answer is A
5. the symbol is just greater than so the line would be dotted and the answer is negative (-6) so the shaded are would be to the left of the dotted line, the answer is D
Answer:
The box is 5 inches tall
Step-by-step explanation:
The given dimensions of the video games are;
The length of the video game, L = 15 inches
The width of the video game, W = 10 inches
The volume of the video game box, V = 750 cubic inches
Assuming that the shape of the video game box is a cuboid, we have;
The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H
∴ V = L × W × H
The height of the cuboid, H = V/(L × W)...(1)
Where, for the video game box;
L = Length = 15 in.
W = Width = 10 in.
V = Volume = 750 in.³
Plugging in the values of the variables in equation (1) gives;
H = V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.
The height of the box, H = 5 inches.
(7c-18)-2c>0
group like terms: 7c-2c-18>0
add similar elements: 7c-2c=5c
5c-18+18>0+18
Add 18 to both sides
5c-18+18>0+18
simplify
5c>18
divide both sides by 5
5c÷5>18/5
simplify
c>18/5
Answer:
A. y + 1 = -2(x – 5)
Step-by-step explanation:
For a line with slope m through point (h, k), the equation is ...
y -k = m(x -h)
Fill in your values of m=-2, h=5, k=-1 and you have ...
y -(-1) = -2(x -5)
y +1 = -2(x -5) . . . . . . simplify. Matches selection A.
Question:
If the measure of arc CB is 
units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is units.
The length <em>L </em>of an arc is given by;
L = 
-----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L =
<em>Substitute these values into equation (i) as follows;</em>
= 
=> = 
<em>Cancel 8</em>
<em> on both sides</em>
= 
<em>Cross multiply</em>
3 x β = 360 x 1
3β = 360
<em>Divide both sides by 3</em>
<em />
<em />
β = 120°
Therefore, the measure of ∠CAB is 120°
