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3 years ago

How to find the area of a capital 'L' shaped shape?

Mathematics

1 answer:

DENIUS [597]3 years ago

8 0

You split the L into 2 parts, solve the area of the 2 parts, then add the areas together.

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A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 55 per foot and t

Mashutka [201]

Answer:

55 divided by 45= 1.222222222222 1650 divided by 1.222222= anserw

Step-by-step explanation:

6 0

3 years ago

What is the y-intercept of this quadratic function f(I)=-i2+10i-22

const2013 [10]

The y-intercept of the quadratic equation is -47.

<h3>What is Quadratic Equation?</h3>

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given quadratic equation;

f(i) = i² + 10i - 22

or, y = i² + 10i - 22

y = i² + 2.5x - (47-25)

y = i² + 2.5x + 25 - 47

y = (i+5)² - 47

Thus, the y-intercept of the quadratic equation is -47.

Learn more about Quadratic Equations from:

brainly.com/question/2263981

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4 0

2 years ago

Which of the following is most likely the value of the seventh term of the sequence graphed below?

IRISSAK [1]

I think the answer is A. Hope it help!

4 0

3 years ago

Read 2 more answers

Fill in the blanks to complete the proof

-BARSIC- [3]

The blanks in this two-column proof should be filled as follows:

<u>Statements Reasons</u>_______________

m∠1 = m∠3 Given

m∠CBA = m∠ABE + m∠CBD Angle Addition Postulate

m∠ABE = m∠3 + m∠2 Substitution Property of Equality

m∠CBD = m∠3 + m∠2 Substitution Property of Equality

m∠ABE ≅ m∠CBD Transitive Property of Equality

<h3>What is the Angle Addition Postulate?</h3>

In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.

This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.

Read more on Angle Addition Postulate here: brainly.com/question/24746945

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5 0

1 year ago

Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...

Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference. Let's verify that.

n 1 2 3 4

f(n) 19 15 9 1

1st diff -4 -6 -8

2nd diff 2 2

We see that we got a constant second difference. We could just extend that and work back up to get more values.

n 1 2 3 4 5 6 7

f(n) 19 15 9 1 -9 -21 -35

1st diff -4 -6 -8 -10 -12 -14

2nd diff 2 2 2 2 2

That's just an aside; we're after the general formula. We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an² + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c = 9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly. Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0

3 years ago