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1 year ago

Is the following function even, odd, or neither? f(x) = -2x + 6NEED ANSWER ASAP !!!!!!!!!!!! :(

Mathematics

1 answer:

Vladimir [108]1 year ago

5 0

Answer:

its an odd

Step-by-step explanation:

The leading coefficient is negative

hope this helps

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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

2 years ago

a student reads at a rate of 16 pages per day which ordered pair would be on a graph of its relationship

mojhsa [17]

I found the choices that should have been included in this problem.
a) (1.5,26)
b) (2.25,30)
c) (5.5,88)
d) (7.25,110)

y = 16x
choice a. y = 16(1.5) = 24
choice b. y = 16(2.25) = 36
choice c. y = 16(5.5) = 88
choice d. y = 16(7.25) = 116

The correct answer is choice c. (5.5, 88)

8 0

2 years ago

A triangle is enlarged by a factor of 3. The perimeter of the new triangle is 36 feet. What could be the lengths of the sides of

Burka [1]

3 feet 4 feet 5 feet is the answer. 3(3 + 4 + 5)=36

4 0

2 years ago

Clarita is a single taxpayer with two dependent children, ages 10 and 12. Clarita

lidiya [134]

Step-by-step explanation:

1. Clarita's total income =

Adjusted gross income (all from wages) + standard deduction

= $19,600 + $3,000 = $22,600 ( Actual spending is only $3,000 for two children)

According to USA (Pub.503.,)

you exclude or deduct dependent care benefits provided by a dependent care benefit plan, the total amount you exclude or deduct must be less than the dollar limit for qualifying expenses (generally, $3,000 if one qualifying person was cared for or $6,000 if two or more qualifying persons were cared for). (If two or more qualifying persons were cared for, the amount you exclude or deduct will always be less than the dollar limit because the total amount you can exclude or deduct is limited to $5,000.

2.Child and dependent care credit for 2019 is Zero

Because .,According to Income tax rules in USA (pub 501) "the deductions for personal and dependency exemptions for tax years 2018 through 2025 are suspended, and therefore, the amount of the deduction is zero. But in determining whether you may claim a person as a qualifying relative for 2019, the person's gross income must be less than $4,200, not zero."

Here Clarita's gross income is $22,600 ., more than $4,200

5 0

2 years ago

How many centimeters are there in 1 yard if there are 2.54 centimeters per inch?

mars1129 [50]

There are 36 inches in a yard so 36*2.54 = 91.44 centimeters

4 0

2 years ago