Answer:
x = -17/16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-8 = 16x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 9 on both sides: -17 = 16x
- [Division Property of Equality] Divide 16 on both sides: -17/16 = x
- Rearrange/Rewrite: x = -17/16
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -8 = 16(-17/16) + 9
- Multiply: -8 = -17 + 9
- Add: -8 = -8
Here we see that -8 does indeed equal -8.
∴ x = -17/16 is the solution to the equation.
Step-by-step explanation:
Hey there!
The equation of a line which passes through the point (1,1) is <em>(y-1) = m1 (x-1)...............(i)</em> {using one point formula}
Also, another equation which is perpendicular to the line is <em>y = 1/5 x + 4/5..........(ii)</em>
Comparing equation (ii) with y= mx+c, we get;
Slope (m2) = 1/5.
Now, As per the condition of perpendicular lines,
m1*m2 = -1
or, m1 * 1/2 = -1
or, m1= -2
Therefore, m1 = -2.
Keeping the value of m1 in equation (i) we get;
y-1 = -2(x-1)
y-1 = -2x+1
or, y+2x-2= 0
Therefore, the required equation is 2x+y-2= 0.
Hope it helps!
Answer:
P(prime,prime) = 4/10 x 4/10 or 2/5 x 2/5 = 4/25
Step-by-step explanation:
2,3,5,7 are primes from 1 through 10
probability of drawing a prime card is 4/10
12
-4
-8
Those should be the answers
