Two numbers, a and b, are added together and the sum is negative (less than zero). So ONE or BOTH NUMBERS must be negative. If a is negative, b can be either positive or negative. But maybe a is positive, and b negative? What if they are BOTH negative? Knowing this, which choice ALWAYS works? a...

Can you identify what kind of problem this is? Let's think together.....she has LOTS of different kinds of fish. We know that some are guppies and others are testras and still others that we know nothing about. We don't know what kind and we don't know how many.
Let's think about what we DO...

We need the average of 12 items and we only know 11 of them. Let's add them:
10 + 10 + 10 + 10 + 8 + 8 + 8+ 8 + 12 + 12 + 11 + y = sum
107 is the sum of 11 items, and the average is 9.7. Let's guess...

The formula is √(x1 -x2)2 + (y1-y2)2 or you could graph it, complete the right triangle and use the Pythagorean theorem.
(?)2 + (-?)2 = 1/25 + 4/25 =5/25 = ? or .2 units
√.2 = .45 units

There is a formula for finding the time. Distance equals rate x time. Substitute and solve.
60=40t
t=60/40
The time it takes to get to the lake is 2 ½ hours.

Each mat has an area of 22x18 which is 396 square incles

Ratio of Perimeters is 2/5
Ratio of areas is4/25

24/36 is the scale factor. Simplify to 2/3
Ratio of areas is 4/9

1600 contains 160 $10 dollar bills. Take $3 out of each. 160 x 3 = 480 So he took a total of $480 to divide among 4 employees, so each got $160

All you know the the length of the sides of the triangle so you need to use Heron’s Formula which is a method for calculating the area of a triangle when you know the lengths of all three sides but not the height.
A = √p(p-a)(p-b)(p-c)
where p is half the perimeter...

I assume you mean slope is -? and coordinate (-3,8)
the equation is y =-2x/3 + b substitute
8 =6/3 +b
24 = 6 +3b
18=3b
b=6
The y-intercept is 6
...

The units used are feet.
Pythagoras says x2 + x2 +6x+9 = 4x2 - 12x+9 so let's simplify that.
0=2x2 -18x factor and use the zero product property
0=2x(x-9)
x=0 or x=9 eliminate x=0 because...

-20 is the slope of the function.
It seems that for every hour of playing video games you lose 20 hours of "homework focus" whatever that is!

63 = 216
43 = 64 substitute
216x3 - 64 = (6x)3-(4)3
a3- b3 = (a-b)(a2+ ab + b2)
(6x-4)(36X2 +24X +16)
...

Boyle's Law says in a closed system the pressure exerted by a given mass of gas is inversely proportional to the volume if the temperature stays the same. PV=k or PV=P1V1
The variables are pressure and volume.

Either (2x+1) is negative Or (2x+1) is positive
2x+1<0 2x+1>0
2x<-1...

You can distribute or use FOIL (First, Outer, Inner Last)
x + 2
x + 2
2x + 4
x2+2x
x2 +4x +4 answer
(x...

Slope is change in y over change in x. Look at the two points;
P1 has a y-value of -4
P2 has a y-value of +4
The change in y is 8 units! Think: what's the difference between -4 and +4?
Or, thing what's the distance on the number...

Intercept is like intersection; the point where streets cross, or where lines cross. The axes are lines also.
The x- intercept is the value of x in the point (x,0) The y- intercept is the value of y in that point (0,y)
Think about what...

Isosceles right triangle has area 5400 sq ft
Sides are in the ratio 1:1:√2 Let x be the length of a side. The altitude is x√3
5400 = ½ (x)(x√3)
2700/(√3