Which property is represented by 5+(-8)=-8+?

Please someone help me

velikii [3]

6 weeks until she reaches 60 kilo

7 0

3 years ago

Which equation does the graph of the systems of equations solve?

mihalych1998 [28]

Answer:

$\text{B. }\frac{1}{3}x-3=-x+1$

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to $(x_1,y_1)$ and $(x_2, y_2)$ (doesn't matter which you assign) and use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let:

$(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)$

The slope is equal to:

$m=\frac{0-1}{1-0}=\frac{-1}{1}=-1$

Therefore, the slope of this line is -1. In slope-intercept form $y=mx+b$ , $m$ represents slope, so one of the lines must have a term with $-x$ in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

$(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)$

Using the slope formula:

$m=\frac{-2-(-3)}{3-0}=\frac{1}{3}$

Thus, the slope of the line is 1/3 and the other line must have a term with $\frac{1}{3}x$ in it, eliminating answer choice C and leaving the answer $\boxed{\text{B. }\frac{1}{3}x-3=-x+1}$

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into $y=mx+b$

7 0

3 years ago

10. The perimeter of a regular nonagon is 162 inches. The apothem is 97.8 inches. Find the area.

Katen [24]

Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

$A = \frac{p\cdot a}{2}$ (1)

Where:

$A$ - Area of the regular polygon, in square inches.

$p$ - Perimeter, in inches.

$a$ - Apothem, in inches.

If we know that $p = 162\,in$ and $a = 97.8\,in$ , then the area of the regular nonagon is:

$A = 7921.8\,in^{2}$

The area of the regular nonagon is 7921.8 square inches.

8 0

3 years ago

The Big Bad Baseball team had lots of great hitters. Sue had a .426 batting average. Heidi had 12 hits in a 15 times a bat. Sele

Mashcka [7]

For this case, what you must do is pass all the averages to the same unit of measurement in order to make the comparison between the three batters.
We have then:
Sue = 0.426
Heidi = (12/15) = 0.8
Selena = (47.5 / 100) = 0.475
answer
the highest batting average was for Heidi with an average of 0.8

3 0

4 years ago

Mia tossed a penny, a nickel, and a dime. Which is a complete tree diagram for all possible outcomes, where H represents heads a

Novay_Z [31]

Mia tossed a penny,a nickel and a dime all possible outcomes of H is the answer C.

Step-by-step explanation:

The two possible outcomes for penny,nickel and dime is H & T.
H is for head T is for tail.
Let A {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
Tossing a fair coin will give the above result.
S is the called the n number of outcomes that are available for a set.
Total outcome of Sample space 8.
The three diagram is like a game theory it exploits different outcome.

8 0

3 years ago