Use Y=-2/3x + b
and then plug in (-7,-4)
-7 is x, so plug that in for x
Y=-2/3(-7) + b
and plug in y, -4
-4=-2/3(-7) +b
plug into calculator and then solve algebraically!
b doesn’t mean anything, it’s just what i used for the y axis, really you could use any letter
Answer:

.
Step-by-step explanation:
Use the form below

Where
is a slope
and
are the point of the line
.
So, the slope is


.


.
Happy to help:)
First draw out the picture it will help. Then you can see that you want the opposite segment of the angle, which leads you to use a sine. So you have 20sin30 or 20(1/2) or 10ft.
For the first question, the total is 240 so that goes in front of the equals sign. he has already worked 97 hours, so the expression on the right begins with 97 and adds the unknown number of hours, <em>h</em>, to it:
240 = 97 + <em /><em>h</em>
For the second question, there is no graph so I cannot answer it.
3rd question: no image, can't answer.
4th question:
Use a factor tree:
240
/ \
10*24
/\ /\
5*2 *8*3
/ / /\ \
5 * 2 *4*2 *3
/ / /\ \ \
5 * 2 *2*2 * 2 * 3
Starting with the smallest factor and using exponents we have
Step-by-step explanation:
the lateral area of the cone is, well, the lateral area.
the total surface area of the cone is the lateral area plus the area of base circle.
so, the difference between both is the area of the base circle :
120pi - 70pi = 50pi
the area of a circle is
pi×radius²
and that is in our case
pi×radius² = 50pi
radius² = 50
radius = sqrt(50) = 7.071067812... ≈ 7.1 units
therefore, C is the right answer.