The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm? Choose the correct answer. 6.2 + b = 14.5 9.3 + b = 14.5 12.4 + b = 14.5 18.6 + b = 14.5

Answers

Answer 1

Answer:

B) 9.3 + b = 14.5

Just did it on edge!!

Answer 2

Answer: Perimeter is the sum of all sides of a polygon. For this case, the perimeter is expressed as: P=a+b+c. It has been said that the longest side is twice that of the shortest side. Let's assume that a is the longest side and b is the shortest side. So, the equation for the shortest side is,

6.2 = 2c
c = 3.1

14.5 = 6.2 + 3.1 + b
14.5 = 9.3 +b

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If using the method of completing the square to solve the quadratic equationx2 - 6x + 6 = 0, which number would have to be added to "complete the square"?

Answers

Answer: 9

This is what the steps look like when we complete the square

x^2 - 6x + 6 = 0

x^2 - 6x = -6

x^2 - 6x + 9 = -6+9

(x-3)^2 = 3

We add 9 to both sides so that we can factor x^2-6x+9 into (x-3)(x-3) = (x-3)^2

To get the 9, we cut the -6 (from -6x) in half to get -6/2 = -3. Then we square that to get (-3)^2 = 9

It might help to look at (a+b)^2 = a^2+2ab+b^2 and note the relationship between 2ab and b^2.

Which expression is equivalent to 10x2y + 25x2?5x2(2y + 5)
5x2y(5 + 20y)
10xy(x + 15y)
10x2(y + 25)

Answers

The expression 10x^2y + 25x^2 is an algebraic expression, and the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

What are equivalent expressions?

Equivalent expressions are expressions that have equal values, when evaluated

The expression is given as;

10x^2y + 25x^2

Factor out 5x^2

10x^2y + 25x^2 = 5x^2(2y + 5)

The above means that the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

Read more about equivalent expressions at:

brainly.com/question/2972832

$10 x^(2) y +25 x^(2) = 5 x^(2) ( (10 x^(2) y +25 x^(2) )/(5 x^(2) )) = 5 x^(2) ( (10 x^(2) y)/(5 x^(2) ) + (25 x^(2) )/(5 x^(2) ) ) = 5 x^(2) ( (2y)/(1) + (5)/(1) )$

Answer A 5x² * ( 2y + 5)

The Johnsons own a home whose market value is $93,000. Their municipality taxes at 80% and the rate is 65 mills or $65 per thousand. What will the Johnsons pay in taxes?

Answers

Answer: He paid $ 4836 in taxes.

Step-by-step explanation:

Here, the total value of the house = $ 93,000

And, the amount on which municipal taxes imposed = 80% of the value of house

= 80% of 93000

= 0.8 × 93000

= $ 74,400

Now, the tax rate is $65 per thousand,

⇒ $\text{The amount of tax for 1000 dollars }= \$ 65$ ,

⇒ $\text{The amount of tax for 1 dollar}=(65)/(1000)$

⇒ $\text{The amount of tax for 74400 dollars}=(74400* 65)/(1000)$

$=(4836000)/(1000)$

$=\$ 4836$

Thus, he paid $ 4836 in taxes.

Answer:

6760

Step-by-step explanation:

80% x 93000 = 74400

74.4 x 65 = 6760

What is an equation of the line that passes through (0,8) and (4,0)?

Answers

Answer: y=-2x+8

Step-by-step explanation:

To find the slope of the line, you would use $(y_(2)-y_(1) )/(x_(2) -x_(1) )$ . With the 2 points we are given , we can plug it into this equation to find the slope.

$(0-8)/(4-0) =(-8)/(4) =-2$

Now we know the slope is -2. To find the y-intercept, we know that the x value is 0. We are given that one of the points is (0,8). That means 8 is our y-intercept.

The final equation we get is y=-2x+8.

Answer:

y= -2×+8

Step-by-step explanation:

find m(slope)

y2-y1 over x2-x1

substitute using (0,8) and (4,0)

m=-2

y=mx+b

substitute x and y to find b using either (0,8) or (4,0)

0=-2(4) + b

0= -8 +b

0+8= -8+8 +b

8=b

y=-2x+8

Find the distance between points k(-1,-3) and L(0,0) round to the nearest tenth

Answers

Answer:

the answer is 3.2 i had this answer.

Step-by-step explanation:

Solve for c? 2x+36x-15c=x

Answers

Simplifyingc2 + 15c + 56 = 0 combine like terms:56 + 15c + c2 = 0. Solving56 + 15c + c2 = 0. when Solving for variable 'c'.Factor a equation.(8 + c)(7 + c) = 0

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