Less than means minus so 7 less than means -7
-2 times a number x means -2 times x or -2x
is greater than or equal to means <u>></u>
41=41
so
-7+-2x<u>></u>41
-2x-7<u>></u>41
add 7 to both sides
-2x<u>></u>48
divide both sides by -2
remember to flip sign since divided by negative
x<u><</u>-96
Answer:
x = -11
Step-by-step explanation:
First, get rid of parentheses:
5 + x - 2 = -8
Then, simplify:
3 + x = -8
Finally, subtract 3 on both sides:
x = -11
Hope this helps ^^
Answer:
D
Step-by-step explanation:
first find the perimeter of both triangles
Original perimeter: 72 in
scaled perimeter: 24 in
A is wrong since the scaled perimeter is actually smaller.
B is wrong because its not 6 times smaller
C is wrong since it's not 1/9 of the original
D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)
To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b
When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.
Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3
Answer:
61.2 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = 
h (
+ 
)
Substitute in given values
A = × 4 × (13.8 + 16.8 ) = 2 × 30.6 = 61.2 cm²
=
÷ 
Multiply (-7 x 3 and 12 x 2)
Both 21 and 24 are divisible by three, so divide them by 3