Answer:
-3 is a solution.
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>
3 - 4r ≥ 15
<u>Step 2: Solve for </u><em><u>r</u></em>
- [Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12
- [Division Property of Equality] Divide -4 on both sides: r ≤ -3
<u>Step 3: Compare</u>
- Substitute in <em>r</em>: -3 ≤ -3
This is true. -3 is less than <em>or equal to</em> -3.
Answer:
The 100th term is 5^104
Step-by-step explanation:
Pls mark as branliest thanks
Answer:
y + 1 = -1/2(x - 8)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Slope Formula:
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
f(8) = -1 → Coordinate (8, -1)
f(6) = 0 → Coordinate (6, 0)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute [SF]:
- Add/Subtract:
- Simplify:
<u>Step 3: Write Function</u>
<em>Substitute into general form.</em>
- Point 1: y + 1 = -1/2(x - 8)
- Point 2: y = -1/2(x - 6)
Hi!
If you're given a net and measurements like this, then you can take it part by part to figure out the area of all the different shapes you're given and add it all together.
I'm going to first do the two triangles. The two have the same measurements, 6 by 8, and since there are two of them, you can combine the two. The formula for the area of a triangle is 1/2bh, and since there are two, you can make it 2 * 1/2bh. The 2 cancels out with the 1/2, and you just get bh.
The base, I'm just going to set 8 equal as it, and 6 as the height. 8 * 6 = 48, so the area of the two triangles is 48 cm squared.
Now to find the area of the rest. Since they all have a dimension of 15 cm, you can add together their other dimensions, and just multiply it all together.
6 + 8 + 10 = 24 cm
Now just multiply base * height, or 24 * 15. 24 * 15 = 360 cm squared.
Now add the two together. 360 + 48 = 408 cm squared.
Hope this helped!