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aleksklad [387]

2 years ago

14

A right triangle has legs that are 11 inches and 13 inches long.What is the area of the triangle?

1 answer:

Citrus2011 [14]2 years ago

5 0

Just use your right angled triangle formula.

A= $\frac{ab}{2}$

Plug n chug

A= $\frac{11*13}{2}$
A=71.5 $in^{2}$

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One number is seven less than two times another. If their sum is decreased by four, the result is one. Find the numbers.

allsm [11]

Answer:

(2n + k) - 7

Step-by-step explanation:

1. Let ''a number'' be presented as n

2. ''twice a number'' → 2 n

3. ''twice a number and k'' → 2n + k

4. 7 less than twice a number → (2h + k) - 7

Google it!

5 0

2 years ago

A store has clearance items that have been marked down by 60%. They are having a sale, advertising an additional 15% off clearan

astra-53 [7]

Answer: 34%

Step-by-step explanation:

Given

Price is marked down by 60% with an additional discount of 15% on the marked down price

Suppose x is the original price of the item

After marking down, it is

$\Rightarrow x-x\times 0.6=0.4x$

after additional discount it is

$\Rightarrow 0.4x(1-0.15)=0.4x\times 0.85=0.34x$

Effective discount on the item is

$\Rightarrow \dfrac{x-0.34x}{x}\times 100=66\%$

Thus, a person is paying $100-66=34\%$ of the original price

6 0

2 years ago

Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)

alexira [117]

Answer: $x^2-5x=-12(y+2)$

Step-by-step explanation:

Given

Parabola has x-intercept has $(3,0)$ and $(8,0)$

and Y-intercept as $(0,-2)$

Now the general equation of parabola is

$y=ax^2+bx+c\quad \ldots(i)$

Substitute $(0,-2)$ in $(i)$ we get

$-2=c$

Now substitute $(3,0)$ in equation $(i)$

$0=a(3)^2+3b-2\quad \ldots(ii)$

Now substitute $(8,0)$ in equation $(i)$

$0=a(8)^2+8b-2\quad \ldots(iii)$

Solving $(ii)$ and $(iii)$ we get

$a=\frac{-1}{12}\ \text{and}\ b=\frac{5}{12}$

therefore

$y=\frac{-x^2}{12}+\frac{5x}{12}-2$

$12y=-x^2+5x-24$

5 0

3 years ago

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

gladu [14]

2(3x-1) ≥ 4x-6
Distribute the 2 on the left side: 6x-2 ≥ 4x-6

Move terms to solve for x:

2x ≥ -4

x ≥ -2

Therefore, any value from -2 to ∞ are valid solutions.

6 0

2 years ago

Read 2 more answers

Investments are different from savings accounts in that they _____.

Natalija [7]

The answer is letter D.

Investments are different from savings accounts in that they offer high profit potential. However, investments also carry larger risks.

<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.</span>

8 0

3 years ago

Read 2 more answers