Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Given:

The parent function is:

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

This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.

To find:

The function after the given transformations.

Step-by-step explanation:

The transformation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                ... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If k<0, then the graph of f(x) is reflected over the x-axis.

If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the graph of f(x) shifts 1 unit left, so a=1.

The graph of f(x) vertically stretch by a factor of 3, so |k|=3.

The graph of f(x) reflected over the x-axis, so k=-3.

There is no vertical shift, so b=0.

Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get

[tex]g(x)=-3f(x+1)+0[/tex]

[tex]g(x)=-3f(x+1)[/tex]

[tex]g(x)=-3(x+1)^2[/tex]                     [tex][\because f(x)=x^2][/tex]

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

I dont know which b and c you are talking about, so...

3) b) 8, c) 19

4) b) 10, c) 16

Hope its helps u

Thank You

Please mark as brainliest

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the Range:

[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 [tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]

Inter Quartile Range [tex]= Q_3 - Q_1[/tex]

[tex]IQR = 98 - 89 = 11[/tex]

Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

Answer:

-10

Step-by-step explanation:

Answer:

A=50.24

Step-by-step explanation:

Your diameter is 8, which makes the radius 4.

The area of a circle is

[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]

A=50.24

Answer:

x = 36 km

Step-by-step explanation:

The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²

c = hypotenuse/longest leg = 45 km

a = x

b = 27

Thus:

45² = x² + 27²

2,025 = x² + 729

2,025 - 729 = x²

1,296 = x²

√1,296 = x

36 = x

x = 36 km

Answer:

[tex]6(x+9)^{2}[/tex]

Step-by-step explanation:

6 x^2+108 x  +486

6(x^2+18 x  +81)

6(x+9)(x+9)

[tex]6(x+9)^{2}[/tex]

Answer:

[tex]6(9+x {)}^{2} [/tex]

Step-by-step explanation:

[tex]486+108x+6x ^{2} [/tex]

[tex]6 \times 81+108x+6 {x}^{2} [/tex]

[tex]6(81+18x+ {x}^{2} )[/tex]

[tex]6(9+x {)}^{2} [/tex]

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{EF}{BC}[/tex] = [tex]\frac{11}{66}[/tex] = [tex]\frac{1}{6}[/tex] → C

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                              and 1 12/15

Step-by-step explanation:

9514 1404 393

Answer:

  A = 27

  B = 81

Step-by-step explanation:

Fill in the x-value and do the arithmetic.

  a = 3^3 = 27

  b = 3^4 = 81

Answer:

x = 15

Step-by-step explanation:

20^2 + x^2 = 25^2

400 + x^2 = 625

subtract each side 400

it results to 225

square root 225, to equals this -->

X = 15

Answer:

15

Step-by-step explanation:

Answer:

prime numbers

Step-by-step explanation:

not composite since,example, 2 is prime

not even since,example, 19 is odd

not odd since,example, 2 is even

Answer:

the answer is

prime numbers.

[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]

Step By Step Explanation:

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

Let me know if anything's unclear

Answer:

please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question

Answer:

13 minutes lifting weights.

Step-by-step explanation:

Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.

Answer:

9

Step-by-step explanation:

B²=H²-P²

B²=15²-12²

B²=81

√B=9

therefore it's 9

Answer:

It is D and if you don't the y-values increase by 9.

Answer:

12

Step-by-step explanation:

Jeffrey made scale drawings of the house a lot

He used a scale of 7 inches: 4 feet

The actual width of the backyard is 48

Therefore the width of the backyard in the drawing is

= 48/4

= 12

Answer:

1 : 12

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

24/2 = 12

1 : 12

Answer:

120 ways

Step-by-step explanation:

Here, we are looking at arranging around a table

To do this, we sit down one of the children and arrange the remaining around the one that we have sat down

In scenario like this, the number of possible arrangement ways will be;

(n-1)! ways

where n is the number of children which is 6 in this case

So the possible number of ways will be;

(6-1)! = 5! = 120 ways

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

Answer: in picture

Step-by-step explanation:

Sorry if I got something wrong

Step-by-step explanation:

[tex]{\huge{\boxed{\sf{{Hello \: mate (. ❛ ᴗ ❛.) }}}}} \\ \\ {\huge{\underline{\bf{\pink{answer \:✓✓}}}}} \\ \\ \\\blue{Equation = > 4x ^{2} + 16x - 4 } \\ \\\mathcal\blue{ = > greatest \: common \: factor \: is \: 4} \\ \\ {taking \: out \: 4 \: as \: common \: } \\ \\ \huge\mathfrak\red{we \: left \: with} \\ \\ {{\boxed{\sf{\green{D.) 4(x^2 + 4x-1) \:✓✓✓✓}}}}}[/tex]

Answer:

x ≈ 69.6°

Step-by-step explanation:

The angle of elevation is the measure of angle x

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°

The angle of elevation is 69.6° ( to the nearest tenth )

Answer:

answer is b

Step-by-step explanation:

i+3 -2 -4i = 1-3i

The expression that is equivalent to (i+3)+i(2i-4) is -3i  +  1

Option B is correct

The given expression is:

(i+3)+i(2i-4)

Open the parenthesis by expanding the expression using the distributive rule

i  +  3  +  2i²  -  4i

Note that i²  =  -1

The expression, therefore, becomes:

i  +  3  +  2(-1)  -  4i

i  +  3  -  2  -  4i

Collect like terms by bring the real parts together and the imaginary parts together

i  -  4i   +  3  -  2

Simplify to get the final expression

-3i  +  1

Therefore, the expression that is equivalent to (i+3)+i(2i-4) is -3i  +  1

Learn more here: https://brainly.com/question/12375854

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Answer:

  n cm = 3 cm

Step-by-step explanation:

The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.

The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...

  A = lw + 1/2bh

  A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²

The lateral area is the product of the perimeter of the base and the depth of the prism.

  A = Ph

  A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²

The total surface area is the sum of the areas of the two bases and the lateral area:

  130 cm² = 2(6 +5n) cm² +(64 +8n) cm²

  130 = 76 +18n . . . . . . divide by cm², collect terms

  54 = 18n . . . . . . . . . subtract 76

  3 = n . . . . . . . . . . divide by 3

The value of n in centimeters is 3 cm.

Answer:

a = x² + 11x + 30

Step-by-step explanation:

a = (x + 5)(x + 6)

multiply each term in the first set of parenthesis by each term in the second

a = x(x + 6) + 5(x + 6)

a = (x² + 6x) + (5x + 30)

combine like terms

a = x² + 11x + 30