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ehidna [41]
4 years ago
9

if the temperature outside was -4 degrees Fahrenheit in the morning and 13 degrees Fahrenheit in the afternoon by how much did t

he temperature increase
Mathematics
2 answers:
kap26 [50]4 years ago
7 0
The temperature increased 17 degrees.

to add the difference of a negative and positive number, i added the absolute value of -4 (4) to the larger number (13) and got 17
marissa [1.9K]4 years ago
7 0

on a number line start at -4 and go in the direction of right for 13 units you will end up at 9

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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x
Andrei [34K]

Answer:

\large\boxed{A.\ (x+6)^2+(y+10)^2=20}

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

Substitute:

x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

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

Substitute (-6, -10) and (-8, -6):

r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}

Finally we have

(x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20

5 0
4 years ago
Read 2 more answers
Write the equation of a line that is parallel to y = 7x +13 that passes through the point (28, 8).
navik [9.2K]

Answer:

y=7x-188

Step-by-step explanation:

We know that this line must have a slope of 7, because this line is parallel to y=7x+13

We must use the point slope formula: y-y_{1}= m(x-x_{1})

Next, we will plug in the point (28,8) for y_{1} and x_{1}, and 7 in for m

y-8=7(x-28)

Solve the equation, first by distributing the 7

y-8=7x-196

Add the 8 over

y=7x-188

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3 years ago
PLEASE HELP 25 POINTS!!!
miss Akunina [59]

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

\sf S \infty  \ =a_1  \ x \ \dfrac{1}{1-r}

Identify following

  • a1 = 2
  • r = 1/2

Solve:

\rightarrow \sf S \infty  \ =2  \ x \ \dfrac{1}{1-\frac{1}{2} }

\rightarrow \sf S \infty  \ =4

The sum of this infinity series is 4

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2 years ago
Which graph shows a set of ordered pairs that represent a function? On a coordinate plane, solid circles appear at the following
NemiM [27]

Answer:

1,3) or c

Step-by-step explanation:

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3 years ago
If f(x) = 3x + 2 and g(x) = x^2 + 1, which expression is equivalent to (g(f(x))?
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<span>Whenever we are given one function and must calculate a funciton of the funciton, such as g(f(x)) in this case, we simply substitute the second function, f(x) in this case, in the first function, g(x) in this case, wherever the first function has a variable. Therefore, g(f(x)) = (3x + 2)^2 + 1 g(f(x)) = 9x^2 + 12x + 4 + 1 g(f(x)) = 9x^2 + 12x + 5</span>
7 0
4 years ago
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