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erastova [34]
3 years ago
10

Bonus Point: Find the area of the irregular figure below. Leave your answer in simplest radical form.

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0
The area of the right triangle is 169.74

the area of the trapezoid is 210

the area of the whole shape is 379.71


good luck
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Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.
Assoli18 [71]

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

     = 5(x² - 2x - 3) ← distribute parenthesis by 5

     = 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

6 0
3 years ago
light a flashes every 5 seconds Light b flashes every 6 seconds light c flashes every 7 seconds work out how long it will take f
Svet_ta [14]

Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

8 0
2 years ago
Explain how to solve 5^(x − 2) = 8 using the change of base formula log base b of y equals log y over log b.
Ray Of Light [21]

Answer:

x = 3.3

Step-by-step explanation:

A equation is given to us and we need to solve out for x. The given equation is ,

Take log on both sides with base as " 10" . We have ,

Simplify using the property of log ,  , we have ,

Simplify ,

Again simplify using the property of log ,

We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,

Simplify the RHS ,

Add 2 both sides ,

Hence the Value of x is 3.30 .

3 0
2 years ago
28 squared minus 39x minus 80 equals 0​
Rudik [331]

Answer:

x = 704/39 ( <----Fraction)

Step-by-step explanation:

28 squared minus 39x minus 80 equals 0​  

784-39x-80=0  evaluate the power

704-39x=0  Subtract the numbers

-39x=-704  move the constant to the right hand side and change it's sign

Divide on both side to get x = 704/39

3 0
3 years ago
Rewrite the equation y - 3 = 23(x - 2) in standard form.
jeka57 [31]

Answer:

I believe it would be y-3=23x-2

7 0
3 years ago
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