The graph shows the function f(x) = |x-hl + k. What is
the value of h?
h = -3.5
h=-1.5
h = 1.5
h = 3.5

Answer:

√13

Step-by-step explanation:

(-3, -2) (0, 0)

distance √(9 + 4) = √13

The distance from the origin to the point A is [tex]\sqrt{13}[/tex] unit.

Let, the co-ordinates of two points in 2D plane are [tex](x_{1} ,y_{1} )[/tex] & [tex](x_{2}, y_{2} )[/tex]

Then the distance between this two points be d (say)

Therefore, [tex]d=\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2} -y_{1} )^{2} }[/tex]

The co-ordinate of point A in the graph is (-3, -2)

The co-ordinate of origin is (0, 0)

∴ The distance between (0, 0) & (-3, -2) is = [tex]\sqrt{((-3)-0) ^{2}+ ((-2) -0 )^{2} }[/tex]

                                                                    = [tex]\sqrt{(-3)^{2}+(-2)^{2} }[/tex]

                                                                    = [tex]\sqrt{9+4}[/tex]

                                                                    = [tex]\sqrt{13}[/tex]

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Answer:

[tex]\huge\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]

Step-by-step explanation:

Point-slope is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}[/tex]

We have to complete the point-slope equation of the line through (1,3) (5,1).

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

We have a incomplete equation of the line.

[tex]y-3=m(x-x_1)[/tex]

We need to find the slope of the line, and the value of  [tex]x_1[/tex].

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

It seems that the value of 3 was used to be [tex]y_1[/tex]. This means that the point [tex](1,3)[/tex] was used for the equation. This means that [tex]x_1[/tex] would have to be 1.

Slope is rise over run.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (1,3) and (5,1).

[tex]m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}[/tex]

The slope is one-half.

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

We now have enough information to complete the point-slope equation.

[tex]{\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]

Our final equation is:

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

Answer:

The answer is option D.

Their angles measures cannot be equal.

Answer:

D

Step-by-step explanation:

Hello,

What the question requires of us is just the property of complimentary angles and which is

The sum of their angles must be equal to 90°.

When two angles combine together to form angle 90°, it is said to be complimentary and they're referred to as a right angled triangle.

From the option, none of the angles can be up to a right angle triangle (90°)

The sum of their angles can be an acute triangle I.e 45°

45° + 45° = 90°

Knowing the fact that the angles can both be an acute angle (45°), it would be wrong to say both angles cannot be equal.

Hence option D is is wrong and it's the right answer in this case

Answer: 22.5 ; 5 ; 14

Step-by-step explanation:

Given the dataset:

{20,22,23,24,26,26,28,29,30}

The lower quartile (Q1) = 1/4(n + 1)th term

Where n = number of observations, n = 9

Q1 = 1/4 (9 + 1)th term

Q1 = 1/4(10) = 2.5

We average the 2nd and 3rd term:

(22 + 23) / 2

45 / 2 = 22.5

B) The interquartile range(IQR) of the dataset :

{62,63,64,65,67,68,68,68,69,74}

IQR = Q3 - Q1

The lower quartile (Q1) = 1/4(n + 1)th term

Where n = number of observations, n = 10

Q1 = 1/4 (10 + 1)th term

Q1 = 1/4(11) = 2.75 term

We take the average of the 2nd and 3rd term:

(63 + 64) / 2

45 / 2 = 63.5

The upper quartile (Q3) = 3/4(n + 1)th term

Where n = number of observations, n = 10

Q3 = 3/4 (10 + 1)th term

Q3 = 3/4(11) = 8.25 term

We take the average of the 8th and 9th term:

(68 + 69) / 2

137 / 2 = 68.5

IQR = Q3 - Q1

IQR = 68.5 - 63.5

IQR = 5

C) give the dataset :

{7,8,8,9,10,12,13,15,16}

The upper quartile (Q3) = 3/4(n + 1)th term

Where n = number of observations, n = 9

Q3 = 3/4 (9 + 1)th term

Q3 = 3/4(10) = 7.5 term

We take the average of the 7th and 8th term:

(13 + 15) / 2

28 / 2 = 14

Answer:

18

Step-by-step explanation:

to find the MAD you add all of the numbers first 22+19+30+13+17+21+8+15+12+23= 180

then you divide it by how many numbers there are for instance there are 10 because there are 10 pairs of numbers then you divide it by 180 and you get 18

hope it helped :)

Answer:

12 square units.

Step-by-step explanation:

Answer:

I agree with Jada

Step-by-step explanation:

So first you would find the area of one of the faces and it is 100 and then you would multiply the area of one face by 6 because there are 6 faces so you would get 600 inches so Jada would be right

Answer:

Jada is correct in this situation.

Step-by-step explanation: Noah's math is not correct. He goes from 6 times 10^2 to 60^2, which you cannot do. You first must do the exponents (10^2=100) and then multiply it by 6. Jada's method should be similar to that.

Answer:

The speed of the plane in still air is 590Mph

The speed of the wind is 60Mph

Step-by-step explanation:

Let

s= the speed of the plane in still air

w= the speed of the wind

Flying with the wind:

5525=(s+w)*8.5

5525=8.5s + 8.5w (1)

Flying against the wind:

4505=(s-w)*8.5

4505=8.5s - 8.5w (2)

Add (1) and (2) to eliminate w

5525=8.5s + 8.5w

4505=8.5s - 8.5w

10,030=17s

Divide both sides by 17

10,030/17=17s/17

590=s

s=590Mph

Substitute the value of s into (1)

5525=8.5s + 8.5w

5525=8.5(590) + 8.5w

5525=5,015 + 8.5w

5525-5015=8.5w

510=8.5w

Divide both sides by 8.5

60=w

w=60Mph

The speed of the plane in still air is 590Mph

The speed of the wind is 60Mph

Answer:

Picture is down below

Step-by-step explanation:

When you are doing this question you would just graph the points (-4,4) and (4,4) so we would get a width of 8 and you need an area of 8 so the height would just be 1 since the area of a rectangle is l times w. So when you graph it, it would look like this. And the coordinate points would be (-4,4), (4,4), (-4,3),(4,3).

Answer:

Answer is (-4,4), (4,4), (-4,3),(4,3).

Step-by-step explanation:

(-4,4), (4,4), (-4,3),(4,3).

Answer:

0.165

Step-by-step explanation:

8 is more than 7.

So, it will be 123 and 123/747 is .1646586345.

.1646586345 rounded to the nearest thousandth is 0.165

Answer:

0.165

Step-by-step explanation:

TRUST ME 100%

Answer:

None of the above

Step-by-step explanation:

In my opinion, I believe the answer is none of the above because

answer A says it has a peak from 10 to 15 km but the graph goes higher than 15 km

answer B says it has a gap from 25 to 30 km but the graph doesn't go that high.

Hope did helps:)

Answer:

15°

Step-by-step explanation:

∠GOI=150°

∠HOG=30°

∠HIG=30°/2=15°(Circle angle)

Answer:

8x - 12

Step-by-step explanation:

4(2x - 3)  (use distributive property, see attached)

= (2x)(4) - 3(4)

= 8x - 12

Answer: B

Step-by-step explanation:

In an equilateral triangle, altitudes are also medians.  Thus, the bisect their vertex angles.

Hope it helps <3

Answer:

Step-by-step explanation:

Am I correct in thinking that the question is asking how much of the $4.95 the city of San Francisco receives?

In that case....

Step 1.

$4.95 ÷ 8.25% = $0.60

Step 2.

$0.60 x 2.5% = $1.50

ANSWER =

The city of San Francisco receives 2.5% of the total taxes, equal to $1.50

Hope this helps!

Bluey :)

Answer:

B

Step-by-step explanation:

y≥-2x-2

put x=0,y=0

0≥-2

which is true.

so (0,0) lies on it.

graph is a solid line.

so B satisfies it.

Answer:

B) 3/7

C) $42

Step-by-step explanation:

B) 1-2/7=5/7 remaining.

5/7x3/5=15/35=3/7

C) She spent 2/7 on her mother and 3/7 on her father.  That leaves 2/7 for her sister.  $12 is 2/7 of $42 (12 divided by 2/7)

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

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

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

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

Answer:

Step-by-step explanation:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\[/tex]

A(2, -6), B(5, -6),

       [tex]AB =\sqrt{(5-2)^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(5-2)^{2}+(-6+6)^{2}}\\\\=\sqrt{3^{2}+0}\\\\=\sqrt{3^{2}}\\\\=3 units\\[/tex]

B(5,-6) ; C(5,-2)

[tex]BC = \sqrt{(5-5)^{2}+(-2-[-6])^{2}}\\\\ = \sqrt{0+(-2+6)^{2}}\\\\ = \sqrt{4^{2}}\\\\[/tex]

BC = 4 units

C(5, -2) ; D (2,-2)

[tex]CD = \sqrt{(2-5)^{2}+(-2-[-2])^{2}}\\\\ = \sqrt{(-3)^{2}+(-2+2)^{2}}\\\\ = \sqrt{(-3)^{2}}[/tex]

CD = 3 units

A(2,-6) ; D(2,-2)

[tex]AD = \sqrt{(2-2)^{2}+(-2+6)^{2}}\\\\ = \sqrt{0 +(4)^{2}}\\\\ = \sqrt{(4)^{2}}\\[/tex]

= 4 units

Perimeter = AB + BC + CD + AD

                = 3 + 4 + 3 + 4

                 = 14 units

Answer:

5 x 7^0 = 35

or

5 x 7 = 35

Step-by-step explanation:

Plz mark brainliest

Answer:

17

Step-by-step explanation:

f (x) = x+13

Let x = 4

f(4) = 4+13

    = 17

Answer:

[tex]17[/tex]

Step-by-step explanation:

[tex]f(x)=x+13[/tex]

[tex]\mathrm{Plug \: x \: as \: 4 \: and \: evaluate.}[/tex]

[tex]f(4)=4+13[/tex]

[tex]f(4)=17[/tex]

Answer:

D is the correct answer

Step-by-step explanation:

Fifth row of Pascal pyramid is 1 , 5, 10, 10, 5 , 1

The expansion should always have n + 1 number of terms

Where n is the power

Answer:

answer is D

Step-by-step explanation:

Answer:

To get the vertex of the parabola we proceed as follows;

y=-7(x-4)^2-5

The above can be written as:

y=-7x^2+56x-117

The values of a,b and c are:

a=-7, b=56 and c=-117

x=-b/(2a)

x=-56/(-7*2)=4

but;

y=-7x^2+56x-117

y=-7(4)^2+56(4)-117

y=-5

Thus;

x=4 and y=-5

The vertex will be at point (4,-5)

Hope it helped... Plz mark as BRAINLIEST... And follow me..

Thanks

The coordinates of the vertex of the parabola is given by V ( 4 , -5 )

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the parabola be represented as f ( x )

Now , f ( x ) = -7 ( x - 4 )² - 5

And , equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Comparing the given equation to the vertex form, we can see that the vertex is at (4, -5), and the coefficient a = -7.

Hence , the coordinates of the vertex are (h, k) = (4, -5)

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Answer:

The answer is option A.

√48 = 6.93 to the nearest hundredth

Hope this helps you

Answer:

A

Step-by-step explanation:

Answer:

The second option (see attached image)

Step-by-step explanation:

You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.

The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.

Answer:

seven hundred ninety-five billion eight hundred million nine hundred thirteen thousand seven hundred eighty-nine

Answer:

1 team............

Step-by-step explanation:

There is only 16 people and there has to be teams of 11 people. The remainder of 16/11 is 1 so.......only one soccer team can be formed.

Hope that helps and maybe earns a brainliest! :)

Hi there! Hopefully this helps!

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0.77 as a fraction is 77/100.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.2904 as a fraction is 2904⁄10000 unsimplified. (Simplified would be 363⁄1250)

Answer:

8a) 0.2904=363/1250

8b) 0.77=77/100

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Harry 1x1/2=1/2

Jacqueline 1/2x1/2=1/4

Stanley 1/3x1/4=1/12

1-1/2-1/4-1/12=

12/12-6/12-3/12-1/12=

2/12 or 1/6