Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, -10)
Point (-1, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
- [Fraction] Add:
Answer:
30 mph
Step-by-step explanation:
time = distance/speed
If x represents Jane's speed along the summit then her total exploration time is ...
12/x + 40/(x -5) = 2 . . . . . hours
Multiplying by (x)(x -5), we get ...
12(x -5) +40(x) = 2(x)(x -5)
Dividing by 2 and subtracting the left side gives ...
x^2 -31x +30 = 0
(x -30)(x -1) = 0 . . . . . factor
Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...
Jane's speed along the summit was 30 mph.
<span>7x ≥ -7
Divide both sides by 7 to get x by its self....
x </span>≥ -1 is the answer ..
To check substitute the -1 for x in the inequality..
7(-1) ≥ - 7
- 7 ≥ -7
It is correct because - 7 is greater than or EQUAL TO -7
Answer:
Step-by-step explanation:
Since you know both triangles are congruent, you can say that the corresponding sides are equal. For example, you can say:
17x+3 = 57
because they are corresponding sides of both triangles. To further solve the equation:
17x = 54 --> x = 54/17 --> <u>3 3/17</u>
Same thing for Y. lines PX and FD are congruent, so, you can say:
4y-3 = 54
4y=57
<u>y= 14.25</u>
