Answer:
(3, -9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-5x - 3y = 12
y = x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - 3(x - 12) = 12
- Distribute -3: -5x - 3x + 36 = 12
- Combine like terms: -8x + 36 = 12
- Isolate <em>x</em> term: -8x = -24
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 12
- Substitute in <em>x</em>: y = 3 - 12
- Subtract: y = -9
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
Answer:
x=7
Step-by-step explanation:
h(x) = 17 so you would input 17 for h(x). The equation should look like this. 17= 3x-4. Add 4 to both sides changing the equation to 21 = 3x. Finally divide both side by 3 and you should get x = 7.
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
#include <stdio.h> #include <stdlib.h>
// Function to perform division (x / y) of two numbers x and y. // without using division operator in the code. int divide(int x, int y)
{ // handle divisibility by 0. if (y == 0)
{ printf("Error!! Divisible by 0"); exit(1);
} // store sign of the result.
int sign = 1; if (x * y < 0)
