First you gotta remove all parentheses by multiplying the factors next remove all grouping if the terms are containing exponents then you combine all terms and lastly you combine the constants
Answer:
A) what did the student do wrong, explain why they are incorrect
B) Demonstrate and explain the correct way to answer the question.
Lauren says that two expressions 3x+4(2x+5) and 6x +5x +5 are equivalent. Simplify the expressions to determine whether or not Lauren is correct. Substitute a value for x to see if she is right.
<u>3x+8x+20 = 6x+5x+5</u>
<u>11x+20 = 11x+5</u>
<u>She is wrong</u>
Students answer: She is correct because both equal 11x +5. I substituted x=2 and got 27 for both
<u>She is wrong because 27 will be the answer for ' 11x+5' only. The correct method should be </u>
<u>x=-15 </u>
Step-by-step explanation:
Answer:
17 Quarters, 8 Dimes.
Step-by-step explanation:
17 x .25 = 4.25
8 x .10 = .80
4.25 + .80 = 5.05
Solutions
To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².
Given
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.
First leg (24 yards) would be α
Second leg would be β
Hypotenuse (74 yards) would be c
Now we have points α β c.
a² (24) + β² ( x ) = c² (74)
Calculations
c² = α² + β²
74² = 24²+ β²
<span>5476 = 576 + </span>β²
5476 - 576 = β²
<span> </span>
<span>4900 = </span>β²
→√4900
<span> </span>
β<span> = 70 yards
</span>
<span>70 = 10x
</span>
<span>x = 70</span>÷<span>10 = 7 yards
</span>
The second leg = 7 yards
