Answer:
x = ±4 (x = 4 and x = -4)
Step-by-step explanation:
4x²-16 = x²+32
3x²-16 = 32
3x² = 48
x² = 16
x = ±4
Therefore, x = 4 and x = -4
Answer:
C. f(5) = 13 and f(-3) = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x + 3
x = 5
x = -3
<u>Step 2: Evaluate</u>
x = 5
- Substitute: f(5) = 2(5) + 3
- Multiply: f(5) = 10 + 3
- Add: f(5) = 13
x = -3
- Substitute: f(-3) = 2(-3) + 3
- Multiply: f(-3) = -6 + 3
- Add: f(-3) = -3
3x + 8 = 3x - 5
3x - 3x + 8 = -5
8 = -5 (incorrect)
this means there is no solution, because whatever number u sub in for x, it will not come out true
Answer:
Step-by-step explanation:
we know that
The area of the trapezoid is equal to
step 1
Find the measure of angle DAE
m∠ADC+m∠DAE=180° -----> by consecutive interior angles
we have
m∠ADC = 134°
substitute
134°+m∠DAE=180°
m∠DAE=180°-134°=46°
step 2
In the right triangle ADE
Find the length side AE
cos(∠DAE)=AE/AD
step 3
In the right triangle ADE
Find the length side DE
sin(∠DAE)=DE/AD
step 4
Find the area of ABCD
we have
substitute
2x-5=7
2x=7+5
2x=12
X=12/2
X=6
Hope this helps!
