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crimeas [40]
3 years ago
10

I need help with number 3 on solving quadratic equations by the quadratic formula

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0
The answer is x=8 or x=-13
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I need help with this asap please
Lorico [155]

Answer:

The perimeter is 100 feet. This means that all the sides of the shape must add up to equal 100.

x + x + 5 + x - 3 + x + 4 = 100

4x + 5 - 3 + 4 = 100

4x + 6 = 100

4x = 94

x = 94/4

x = 23.5 feet

3 0
2 years ago
WILL MARK BRAINLIEST AND WILL GIVE POINTS. PLEASE ANSWER AND SHOW YOUR WORK.
Sindrei [870]

one interior angle = 30° <==== this one is given

second interior angle = 180 - 40 = 140° <=== interior angle + exterior angle = 180

third interior angle = 180 - 30 - 140 = 10° <=== angles in a triangle = 180

8 0
3 years ago
The Length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3 cm, the area of new rectang
gizmo_the_mogwai [7]

Answer:

Breadth = 8 cm

Length = 17 cm

Step-by-step explanation:

Given rectangle:

Breadth = x cm

Length = x + 9 cm

Area = length * breadth

        = x * (x + 9)

       = x² + 9x

Rectangle with length and breadth increased:

Breadth = x + 3 cm

Length = x + 9 + 3 = x + 12 cm

Area = 84 + (x² + 9x) cm²

(x +3) * (x +12) = 84 + x² +  9x

Use FOIL method

x*x  + x*12 + 3*x + 3*12 = 84 + x² + 9x

      x² + 12x + 3x + 36  = 84 + x² + 9x  {add the like terms}

             x² + 15x  + 36  = 84 + x² + 9x

x² + 15x + 36 - 84 - x² - 9x = 0

      6x - 48 = 0

             6x = 48

             x = 48/6

        x = 8

Breadth = x = 8 cm

Length = x + 9 = 8 +9 = 17 cm

7 0
3 years ago
You deposit $5000 in an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?
Rasek [7]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}

\bf A=5000\left(1+\frac{0.08}{12}\right)^{12\cdot 15}\implies A=5000(1.00\overline{66})^{180}\implies A\approx 16534.61

5 0
2 years ago
Find the solution to the equation algebraically. Check your answer. k - 16 = 4
vitfil [10]

Answer:

k= 20

Step-by-step explanation:

You start with this equation:

k-16=4

Add 16 on both sides.

k=4+16

Simply.

k=20

If you want to check your answer, you can just plug 20 into where k is back into the equation:)

Hope this helps!

7 0
3 years ago
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