-6/7p+1/7 um Idk what you wanted me to do but I added -4/7p with -2/7p
Good Job
And always keep your eyes on ur own paper
<h3>
Answer: Choice D. 4^2+5^2 = x^2</h3>
See note at the bottom
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The entire building is 20 feet. Fifteen feet of that is from the ground to the first landing of the stairs or fire escape. So 20-15 = 5 feet represents the height of the second set of stairs (leading to the roof of the building)
The base of the triangle is 4 feet as shown in the diagram. The height is 5 feet as found in the prior paragraph. Use the pythagorean theorem to say
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
Note: If you meant to write 4^2+5^2 = x^2 for choice D, then that would be the answer. Otherwise, there is a typo somewhere.
Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
7(2x - 5) = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 7: 2x - 5 = 3
- Isolate <em>x</em> term: 2x = 8
- Isolate <em>x</em>: x = 4
<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>: 7(2(4) - 5) = 21
- Multiply: 7(8 - 5) = 21
- Subtract: 7(3) = 21
- Multiply: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 4 is the solution to the equation.
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
</span>
Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
</span>
<span>2x+2(2x+10)=56,
</span><span>
</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
</span><span>
</span><span>x=6 ft. and 2x+10=12+10=22 ft.
</span><span>
</span><span>Answer: The length of the yard is 22 feet</span>