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2 years ago

I need help here’s a picture can somone explain what I need to do??

Mathematics

1 answer:

galina1969 [7]2 years ago

5 0

Answer:

176 square feet

Step-by-step explanation:

add the areas of the rectangle and triangle

rectangle area is

16 times 8 which is

128

rectangle area is

1/2 times 12 times 8 which is

then add them

128 plus 48 is

176 square feet

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What is the slope of a line perpendicular to the line whose equation is -2x+20y=6

QveST [7]

Answer:

-10

Step-by-step explanation:

Solving for y gives ...

20y = 2x +6

y = 2/20x +6/20 = 1/10x +3/10

The slope of the given line is the coefficient of x: 1/10. The slope of the perpendicular line is the opposite reciprocal of this: -1/(1/10) = -10.

The perpendicular line has a slope of -10.

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3 years ago

What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

4 0

3 years ago

Which of the sums below can be expressed as 6(3 + 9)?<br> 18 + 54<br> 18 +9<br> 09 + 15<br> 6 + 54

Zinaida [17]

Answer: 18+54

Step-by-step explanation:

6*3=18 and 6*9=54

3 0

3 years ago

Read 2 more answers

Colton is going to invest $76,000 and leave it in an account for 15 years. Assuming the interest is compounded daily, what inter

olga2289 [7]

Answer: 4.75%

Step-by-step explanation:

4 0

3 years ago

The sum of three consecutive even numbers is 114 what's the smallest of these numbers

laila [671]

Answer:

Step-by-step explanation:

consecutive even numbers are 2,4, 6...

Let the smallest of the 3 numbers be x.

2nd number= x+2

3rd number

=x+2+2

= x+4

sum of the 3 numbers= x +x+2 +x+4

114= 3x+6

3x= 114 -6 (-3 on both sides)

3x= 108 (simplify)

x= 108 ÷3

x= 36

Thus, the smallest number is 36.

Let's check!

36+38+40= 114 ✓

8 0

3 years ago