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3 years ago

Please help I’ll mark you as brainliest if correct!

Mathematics

2 answers:

motikmotik3 years ago

4 0

Answer:

(x+7)^2+(y-8)^2=1

(x-x value of center)^2+(y-y value of center)^2=radius

klio [65]3 years ago

3 0

Answer:

(x + 7)² + (y - 8)² = 1

Step-by-step explanation:

(x - h)² + (y - k)² = r²

h = - 7, k = 8, r = 1

(x -(-7))² + (y - 8)² = 1²

(x + 7)² + (y - 8)² = 1

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

2 years ago

McKenzie has a bag contains six red marbles four blue marbles and 14 yellow marbles if she chooses one marble from the bag what

loris [4]

Answer:

5/12

Step-by-step explanation:

Total number of marbles in the bag

6red+ 4blue + 14 yellow = 24 marbles

Not yellow marbles = 10 marbles

P ( not yellow ) = number of not yellow marbles / total marbles

=10/24

= 5/12

3 0

3 years ago

Read 2 more answers

Please help with this

omeli [17]

Answer:

$y = \frac{1}{8} x - 3$

Step-by-step explanation:

Formula for straight lines:

$y = mx + b$

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

$- 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3$

Substitute b into original formula

$y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3$

4 0

3 years ago

Easy!<br> Calculate the area of the shape below

skad [1K]

Answer i just have to get points but good luck

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Help! Please and thank you!

lys-0071 [83]

a) value of x:

ZX =(10x+9)°

122°=( 10x+9)

122 - 9= 10x

113= 10x

x = 113/10= 11.3 °

so answer is = 11.3°

b) measure of Arc XZ :

A = 122÷360 x 2πr

A = 61/180x 2πr

A = 0.3388x2πr

A= 0.6776πr

4 0

3 years ago

Read 2 more answers