If A( 6, -1) , B( 1,3) and C( k, 8) are three points such that AB = BC, find the value of k

Answer:

x = -1.7, or x = -17/10

Step-by-step explanation:

f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution.  Combining like terms, we get

f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).

Then 6x = -10.2, and x = -1.7, or x = -17/10

Answer:

16x - 5 = 15x

16x - 16x -5 = 15x - 16x

-5 = -x

-5 / -1 = -x / -1

x = 5

mAB = 5(5)

mAB = 25°

Step-by-step explanation:

1. set arc FA and arc CD equal to each other.

2. subtract 16x from both sides.

3. divide both sides by -1 to get x.

4. replace x by its value to solve for mAB.

Answer:

10

Step-by-step explanation:

15 - |5|

The absolute value of 5 is 5

15 - 5

10

Answer:

10

Step-by-step explanation:

assuming those are absolute value bars it is basically 15-5=10 so 10 is your answer!

Answer:yes

Step-by-step explanation:

5*3=15

5*3x=15x

The expression 15x is not the equivalent of the expression 5•3ˣ.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Jada rewrites 5•3ˣ as 15x.

We do not agree with Jada that these are equivalent expressions because she made the mistake.

As per the given obtained expression, we can see that here write 15 as the coefficient of variable x which is actually the power of an argument. the original expression was an exponential function that has 3 representing the base. thus, it cannot be multiplied the 5 by 3.

Thus, the expression 15x is not the equivalent of the expression 5•3ˣ.

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Answer:

First problem: 1/4 chance

Second problem: 1/6 chance of happening

Step-by-step explanation:

To find the probability we need to multiply the chance of each separate thing happening by each other in each example.

In the first example we have a 1/2 chance that a tail was tossed and 3/6 chance that an even number was rolled.

[tex]\frac{1}{2} *\frac{3}{6} = \frac{3}{12} =\frac{1}{4}[/tex]

So in the first example we have 1/4 chance of happening or 0.25

Same thing with the second example:

[tex]\frac{1}{2} *\frac{2}{6} = \frac{2}{12} =\frac{1}{6}[/tex]

Answer:

C

Step-by-step explanation:

I took the test

The function which represents the graph given is f(x) = (x - a)²(x - b)⁴.

Polynomials are expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given is a graph of a function.

The options f(x) = x(x - a)³(x - b)³ and the option f(x)=x(x - a)⁶(x - b)² is not possible since x = 0 is not a root of the given graph.

That is the graph does not pass through the point (0, c) for any c.

Remaining options are f(x) = (x - a)²(x - b)⁴ and f(x) = (x - a)⁵(x - b).

We know that, the graph of a polynomial function always touch the X axis at zeroes with even multiplicities.

So here multiplicity will be even.

So the correct one is f(x) = (x - a)²(x - b)⁴.

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Answer:

88/1344

Step-by-step explanation:

Answer:

-12a + 4b - 8c + 18

Step-by-step explanation:

To do this, you will need to use the Distributive Property. Multiply the number outside of the parenthesis by the terms inside of the parenthesis.

-2(6a - 2b + 4c - 9) becomes:

-12a + 4b - 8c + 18

Answer:

use a app that is call photomath

Answer:

169.65 for volume.

Step-by-step explanation:

Volume = πr2h

= π×32×6

= 54π

= 169.64600329385 (unit^3)

I Hope this helps!!!

Answer:

339.12 squared (for surface area)

Step-by-step explanation:

radius=6

area of the circles is, 6*6= 36 * 3.14= 113.04

there are 2 circles so we multiply that by 2 to get 226.08

now to find the perimeter of a circle it is the radius * pi, so that would be 6*3.14= 18.84 now we have a height of 6 so we multiply that by 6 and get 113.04 now add up all our numbers and get 339.12

Answer:

a. 1057 is not a perfect square

b. 23453 is not a perfect square

c. 2304 is a perfect square

d. 1057 is not a perfect square

Step-by-step explanation:

A perfect square is a number x where the square root of x is a number a such that a² = x and a is an integer. For example, 4, 9 and 16 are perfect squares since their square roots, 2, 3 and 4, respectively, are integers.

Answer:

d.32

Step-by-step explanation:

To get the Least Common Multiple (LCM) of 8 and 32 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

8:   222    

32:   22222

LCM:   22222

The Least Common Multiple (LCM) is:   2 x 2 x 2 x 2 x 2 = 32

The least common multiple is = 32

The denominators are 8 and 32.

The multiples of 8 are = 8, 16, 24, 32, 40, ....

The multiples of 32 are = 32, 64, ....

So the least common multiple is = 32

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Answer:

hey i think its 5 what do u think please folow me

Answer:

The slope is 1 or just x

Step-by-step explanation:

rise/run (rise over run) to find the slope

Answer:

9.33

Step-by-step explanation:

12.44=311/25

(3/4)×(311/25)=(3×311/4×25)=933/100=9.33

Answer:

B. 9.33

Step-by-step explanation:

I go with my gut and my gut tells me this the right answer ( I used a calculator).

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

→ n([tex]\frac{45}{100}[/tex]) = 54

→ 45n = 5400

→ n = 120

Answer:

number of first grader at Sierra elementary school = 120  

Step-by-step explanation:

The question says 45% of 1st graders at Sierra Elementary school are female student . This year there are 54 female 1st graders at Sierra Elementary school .The number of 1st graders at Sierra elementary school can be calculated below .

Let

the number of 1st grader = a

45 % of a = female population

This year the female 1st graders at the Sierra elementary school are 54. This can represented as follows

45% × a = 54

45/100 × a = 54

45a/100 = 54

cross multiply

45a = 5400

divide both sides by 45

a = 5400/45

a = 120

number of first grader = 120  

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

can i get brainleist plz

Answer:

The first choice

Step-by-step explanation:

When the question says 6 hours or less, then you would use this sign ≤.

The answer choices are easy to cross out because there's only one answer choice that matches the question and that is letter choice A.

8x goes with ≤ 6 and 12x goes with the number that is greater than 6. So, your answer choice is A.

Answer:

arrested and imprisoned.

Nelson Mandela was arrested an imprisoned by the Apartheid regime when he returned from Algeria.

Nelson Mandela was a know nationalist in South Africa and a strong advocate for the liberation of South Africa from the Apartheid  in which the non-white South African's were segregated.

Nelson Mandela was educated in Algeria as a lawyer. When he returned in 1964, he was arrested and imprisoned.

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Answer:

36,811 cubic feet.

Step-by-step explanation:

Volume = 1/2 volume of a sphere

= 1/2 * 4/3 π r^3

= 2/3 * π r^3

R = 26 so

Volume of the tank = 2/3 *  π 26^3

= 36811.09 feet^3.

The volume of the tank in cubic feet approximate  is 36,811 cubic feet.

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

We are given water storage tank is in the shape of a hemisphere​ (half a​ sphere). If the radius is 26 ​ft.

Therefore,

Volume = 1/2 volume of a sphere

= 1/2 * 4/3 π r^3

= 2/3 * π r^3

R = 26

Therefore, Volume of the tank = 2/3 π 26^3

= 36811.09 feet^3.

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Answer:

Option (2)

Step-by-step explanation:

Given expression is [tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]

We further simplify this expression,

[tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]

= [tex]\frac{2}{(3x-1)}\times \frac{6x-1}{6}[/tex]

= [tex]\frac{6x-1}{3(3x-1)}[/tex]

= [tex]\frac{6x-1}{(9x-3)}[/tex]

Therefore, [tex]\frac{6x-1}{(9x-3)}[/tex] will be the quotient of the given expression.

[tex]x\neq \frac{1}{3}[/tex] and [tex]x\neq \frac{1}{6}[/tex] for which the given expression is not defined.

Option (2) will be the answer.

Answer:

B

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

[tex]6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100} [/tex]

Answer:

the triangles are in AA similarity.

Step-by-step explanation:

CB/DE = AB/AD

3/11 = x/9

cross multiply to get;

x = 2.45

Answer:

$30

Step-by-step explanation:

If $25 is 100%,

$2.5 is 10%

$0.25 is 1%

$3.75 is 15%

$0.75 is 3%

Then add $25, $3.75 and 0.75 which is also equivalent to 100%+15%+3%=29.5 and if you rounded it up to the nearest cent it is 30

Answer:

It would be $18 because you would divide 54 by 3 and get $18 per ticket

Step-by-step explanation:

Answer:

Proved: [tex]c\sin A=a\sin C\Rightarrow \frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Step-by-step explanation:

Given: A triangle

To prove: [tex]\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Solution:

Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.

Sine of angle = side opposite to the angle / hypotenuse

In ΔADB,

[tex]\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)[/tex]

In ΔBDC,

[tex]\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)[/tex]

From equations (i) and (ii),

[tex]c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Hence proved

Answer:

A: xy= 3

B: When x= 3, y = 1

E: The graph of this table would not be linear.

Step-by-step explanation:

Edge

Answer:

Perimeter = 4.5√3 + 4.5

Area = 3.375√3

Step-by-step explanation:

Well you can first see that triangle ABC is a 30°60°90° triangle.

Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.

You can say that DA is congruent to BD by Base Angle Theorem.

DA = 3

By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3

CD = 1.5

CA = 1.5√3

BC = 4.5

Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2

Area = 3.375√3

By using the 30°60°90° ratio again, you get that BA = 3√3

Perimeter = 1.5√3 + 3√3 + 4.5

Perimeter = 4.5√3 + 4.5

I'm not 100% sure that the answer is right so check it.

Answer:

S = {2,4,6,8} P(2) = 3/20  P(4) = 3/10 P(6) = 3/10 P(8)=  1/4

Step-by-step explanation:

There are 30 draws

She got the tile numbered 2 3 times

P(2) = 3/20 = .15

She got the tile numbered 4 6 times

P(4) = 6/20 = 3/10 = .3

She got the tile numbered 6 6 times

P(6) = 6/20 = 3/10 = .3

She got the tile numbered 8 5 times

P(8) = 5/20 = 1/4 = .25

Answer:

x = 65, y = 63

Step-by-step explanation:

∠ EGA = ∠ HBG = 52° ( corresponding angles )

ED is a straight angle, thus

52 + y + 65 = 180, that is

y + 117 = 180 ( subtract 117 from both sides )

y = 63

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

∠ HGB = y = 63° ( vertical angles )

The sum of the 3 angles in a triangle = 180°, thus

x + 63 + 52 = 180

x + 115 = 180 ( subtract 115 from both sides )

x = 65

Answer:

t = 16

Step-by-step explanation:

if you do 448 divided by 28 you get 16.

if you do 28 x 16 you get 448