If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:

Answer:

(x-6) ^2 + (y+7)^2 = 16

Step-by-step explanation:

We know the equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-6) ^2 + (y- -7)^2 = 4^2

(x-6) ^2 + (y+7)^2 = 16

Answer:

x = -4

Step-by-step explanation:

2(x−8)=x+5x

Distribute

2x - 16 = x+5x

Combine like terms

2x-16 = 6x

Subtract 2x from each side

2x-16 = 6x-2x

-16 = 4x

Divide by 4

-16/4 = 4x/4

-4 =x

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{ }[/tex]

Answer:

1250 g

Step-by-step explanation:

12.5% of 10 kg

12.5% of 10000 g

.125 of 10000 g

.125 * 10000 g

1250 g

Answer:

Step-by-step explanation:

[tex] \frac{12.5}{100} \times 10kg = x \: grams[/tex]

[tex]1.25kg = 1250 \: grams[/tex]

Answer:

[tex]g(x) = x^2+7x+12[/tex]

Step-by-step explanation:

If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.

We have the function:

[tex]f(x)=x^2+3x+2[/tex]

And we want to shift it two units to the left.

Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:

[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]

Simplify. Expand:

[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]

Combine like terms. Hence:

[tex]g(x) = x^2+7x+12[/tex]

Answer:

63

Step-by-step explanation:

Hi there!

In order to find the answer to this question we must know about:

The angles of intersecting chords theorem

The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.

Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )

Angle ABC intercepted arc is AC

Hence Angle ABC = 1/2 ( arc AC + arc ED)

Arc ED = 44 and arc AC = 82

Thus, angle ABC = 1/2(82 + 44)

82 + 44 = 126

126/2=63

Hence Angle ABC = 63

Answer:

155÷8= 19,375

The unit price of each wagon can be obtained by dividing (155 by 8)

luck in your tasks.

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

Answer:

OAmalOHopeO

Answer:

1

Step-by-step explanation:

when x is 1 y is one

Answer:

D) -1750

Step-by-step explanation:

[tex]{ \boxed{ \bf{sum = \frac{n}{2}(2a + (n - 1)d) }}}[/tex]

n is number of terms, n=10.

a is first term, a=-94

d is common diffrerence, d = -112-(-94) = -18

[tex]{ \sf{sum = \frac{10}{2} ( - 188 + (10 - 1) \times - 18)}} \\ { \sf{sum = - 1750}}[/tex]

Answer:

87 in^2

Step-by-step explanation:

24 + 18 + 15 + 30

the 30  is 2(1/2 * 5 * 6)

Answer:

a) f(x-1) = 2x^2-11x-1

b) x = -1.5 or 5

Step-by-step explanation:

a) To get f(x-1)

We proceed to substitute x-1 for x as follows

f(x-1) = 2(x-1)^2 -7(x-1) -10

f(x-1) = 2(x^2 - 2x + 1) -7(x-1)-10

f(x-1) = 2x^2 -4x + 2 -7x + 7-10

f(x-1) = 2x^2-11x-1

b) What we have to do here is substitute 5 for f(x) and solve for x

5 = 2x^2 -7x-10

2x^2 -7x -10-5 = 0

2x^2 - 7x - 15 = 0

2x^2 -10x + 3x -15 = 0

2x(x-5) + 3(x-5) = 0

(2x + 3)(x-5) = 0

2x + 3 = 0 or x -5 = 0

2x = -3 or x = 5

x = -3/2 or x = 5

x = -1.5 or 5

Answer:

Step-by-step explanation:

Side - side - side. In fact the two triangles have the side CD in common

Answer:

mark me brainliest..

Step-by-step explanation:

plz open the below file and hope it helps!!

Answer:

Yup

Step-by-step explanation:

======================================================

Explanation:

AC = 13 and BC = 8

Those two facts must mean AB = AC-BC = 13 - 8 = 5.

Similarly, CD = BD - BC = 12 - 8 = 4

So,

AD = AB + BC + CD

AD = 5 + 8 + 4

AD = 17

------------

Another way to approach this problem would be to say

AD = AC + BD - BC

AD = 13 + 12 - 8

AD = 17

This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.

Answer:

Segment AD is 17.

Step-by-step explanation:

We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.

To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).

To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)

Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)

The length of Segment AD is 17.

Answer:

a.-8x-12y

Step-by-step explanation:

i hope it will help u

The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

The equation of the line below which is given in the question

4x - 3y = 8

We have to determine which is perpendicular to the given equation of the line

First, we need to find the slope of the given equation.

4x - 3y = 8

- 3y = - 4x + 8

Divided by -3 into both sides of the above equation,

y = (- 4/-3)x + 8/(-3)

y = (4/3)x - 8/3

Comparing the above equation with the standard form of line y = mx + b

Here m is the slope of the line,  in this case, m = 4/3.

As per option (C),

- 3y = 8 + 4x

Divided by -3 into both sides of the above equation,

y = - 4/3x - 8/3

Here the slope of this line is - 4/3

Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.

Hence, the correct answer would be option (C).

Learn about the perpendicular lines here :

https://brainly.com/question/18271653

#SPJ2

Answer:

n = [tex]\sqrt{32}[/tex]

Step-by-step explanation:

The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion

[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )

n² = 32 ( take the square root of both sides )

n = [tex]\sqrt{32}[/tex]

Answer:

xy is equal to 15 Q understood

Answer:

Its A

Step-by-step explanation:

I'll do problem 1 to get you started.

set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}

there are 7 items in set A, so we can say n(A) = 7

set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}

Here we have n(B) = 5

set C = multiples of 3 and 5, between 5 and 25 = {15}

n(C) = 1 which we can rewrite as n(A and B) = 1.

-----------------------------------------

To summarize so far,

From those three facts, then we can say,

n(A or B) = n(A) + n(B) - n(A and B)

n(A or B) = 7 + 5 - 1

n(A or B) = 11

There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.

Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}

This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}

So we have 11 values we want out of 21 overall, which leads to the probability 11/21

Final Answer:   11/21

Answer:

Solution given:

total outcomes between 5 to25 inclusive

n[T]=25-5+1=21

multiple of 5n[5]=5,10,15,20,25=5

multiple of 3n[3]=6,9,12,15,18,21,24=7

now

probability of getting multiple of 5p[5]=5/21

and

probability of getting multiple of 3 p[3]=7/21=1/3

again

the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7

2:

.Good Limes n[GL] =10

Good Apples n[GA]= 8

Bad Limes n[BL] = 6

Bad Apples n[BA]= 6

total fruits n[T]=10+8+6+6=30

no of good apple n[G]=10+8=18

no of bad apple n[B]=6+6=12

again

I. Both are good limes

=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]

=10/30*9/29=3/29

II.Both are good fruits

=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]

=6/30*5/29=1/29

III. One is a good apple and the other a bad lime

=n[G]/n[T] *n[B]/(n[T]-1)

=18/30*12/29=36/145

Answer:

L = [tex]\sqrt{52^2 + 30^2}[/tex]

L = 60.033

Step-by-step explanation:

Answer:

55 feet

Step-by-step explanation:

simple 5.5 x 10

Answer:

660 inches or 55 feet

Step-by-step explanation:

20 feet * 12 = 240 inches

2/5.5 = 240/×

2x = 240 * 5.5

2x= 1320

x=660 inches

660 inches ÷ 12 = 55 feet

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C

Answer:

HEY MATE FIRST OF ALL THE QUESTION  IS NOT COMPLETE. TRY MAKING IT MORE CLEAR NEXT TIME !

Step-by-step explanation:

IF THE QUESTION IS THIS IN THE BELOW THEN HERE IS THE ANSWER  .

What is true about angle ∠APD?

It is to angle Angle A P C.

It is to angle Angle C P B.

SOLUTION :

Answer: It is supplementary to angle Angle A P C.

It is vertical to angle Angle C P B.

 I hope this help :)

Answer:

2455.49

Step-by-step explanation:

[tex]3100=x(1+.06)^4\\x=2455.490356[/tex]

Answer:

hope this helppppp youuu

Answer:

24

Step-by-step explanation:

(1+25) - (16)(1/8)

26 - 2

24

Cheers

Answer:

24

Step-by-step explanation:

(1+5^2) -16 ( 1/2)^3

PEMDAS

Parentheses first

Exponents in the parentheses

(1+25) -16 ( 1/2)^3

Then add in the parentheses

(26) -16 ( 1/2)^3

Then exponents

(26) -16 ( 1/8)

Then multiply

26 - 2

Then subtract

24