In math the words transformation means to blank, blank, blank, or blank a figure

Step-by-step explanation:

p² − r² = 0

(p − r) (p + r) = 0

p = r or -r

Answer:

3/15 in the simplest form is 1/5....

when you divide by 3 it gives 1/5.

The fraction 3/15 in simplest form is 1/5.

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

In this case, 3 and 15 have a common factor, which is 3. Thus, 3/15 in simplest form will be:

3/15 = 1/5  (divide both numerator and denominator by 3)

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Answer:

(x-6)(2x+2)

Step-by-step explanation:

2x^2 + 2x - 12

by using splitting method

2x^2 - 12x + 2x -12

taking separate common from both pairs

2x(x - 6) + 2(x - 6)

(x - 6)(2x + 2)

Answer:

A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

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Answer:

C. 0

Step-by-step explanation:

0 / 7 = 0 ÷ 7

recall that zero divided by any number is zero

hence 0 ÷ 7 = 0

Answer:

The input cannot be repeated, unlike the output which doesn't really matter if it is repeated in other words a function is a relation in which each input has only one output. Therefore the answer to this is A

Step-by-step explanation:

Answer:

Grapes and strawberries

Step-by-step explanation: hope this helps :)

Answer:

0.4 cm

Step-by-step explanation:

10 mm = 1 cm thus 4mm / 10  = 0.4 cm

Answer:

when substituting y=y

and multiple x^2+2 by x+2

you get a 3rd degree equation

thus having 3 answers one of which is -1.8

so D is the correct answer

Answer:

x = 7

Step-by-step explanation:

3x + 2(x - 5) = 25

→ Expand brackets

3x + 2x - 10 = 25

→ Add the 'x's together

5x - 10 = 25

→ Add 10 to both sides to isolate 5x

5x = 35

→ Divide both sides by 5 to isolate x

x = 7

Answer:

Mr Singh went to the shops to buy some Coke. He wanted a $10 dollar pack which had 12 coke cans. He had a coupon which took off $4.05. Using the information above, what did Mr Singh pay?

Answer:

Step-by-step explanation:

John is given $10 pocket money. After spending $4.05 in the local store he has c dollars left.

Answer:

I guess they subtracted a 110 from -110 instead of subtracting from 360

Answer:

a 1 vertical angles

2 converse of the same side interior angle theorem

Step-by-step explanation:

<1 = <3 because they are vertical angles

Vertical angles are opposite angles formed by the same lines and sharing a vertex

<2 + <3 = 180  

converse of the same side interior angle theorem

If the angles on the same side between two lines add to 180, this is the same side interior angle theorem

Answer:

126.4 cm

Step-by-step explanation:

1. 15.8 * 3 = 47.4 (This is the length)

2. Find half of the rectangle

47.4 + 15.8 (width) = 63.2

3. Find the whole perimeter

63.2 * 2 = 126.4

Answer:

126.4

Step-by-step explanation:

If you put three squares that are all 15.8cm together, you get a rectangle that is 47.4cm by 15.8cm. To get 47.4, you multiply 15.8 x 3 because it's three 15.8 squares together. Then to find the perimeter of the rectangle, you add all the sides together to get the answer 126.4.

Step-by-step explanation:

Combing like terms means that you combine the terms that are alike. So, if you have integers you would combine the integers. If you had a variable like x, you would combine everything with x. For instance, 2x+4+3+7x, to combine like terms add 4+3 and 2x+7x.

Answer:

Value of (t) = 0

Step-by-step explanation:

According to the scenario no time has passed.

t = 0

Given:

f(t)= -16t² + 32t + 5.2

When t = 0

So.

f(t)= -16t² + 32t + 5.2

f(0)= -16(0)² + 32(0) + 5.2

f(0) = 5.2 feet

Answer:

In no 4 you have written option B but it should be option C. All of the other except it is correct.

Answer:

50 inches

Step-by-step explanation:

Given that

5 equal sized square shelves arranged in a column.

Total area of five shelves = 500 sq inches

To find:

Length of shelving unit = ?

Solution:

First of all, let us find the area of each shelving unit.

Area of each shelving unit = Total area of five shelved divided by 5

Area of each shelving unit = 500 [tex]\div[/tex] 5 = 100 sq units.

Each shelving unit is of square shape and area of a square is given as:

Area = [tex]Side^2[/tex]

100 = [tex]Side^2[/tex]

So, side of shelve = 10 inches

Now, there are 5 squares in the shelving unit.

So, length of shelving unit = [tex]10 \times 5 = \bold{50 \ inches}[/tex]

Answer:

x = 7

Exterior angle = 139°

Step-by-step explanation:

[tex] (15x + 34) [/tex] is an exterior angle to the ∆ given.

29° and [tex] (12x + 26) [/tex] are two opposite interior angles of the ∆.

According to the external angle theorem, [tex] (15x + 34) = 29 + (12x + 26) [/tex]

Solve for x using this expression

[tex] 15x + 34 = 29 + 12x + 26 [/tex]

[tex] 15x + 34 = 29 + 26 + 12x [/tex]

[tex] 15x + 34 = 55 + 12x [/tex]

[tex] 15x + 34 - 12x = 55 + 12x - 12x [/tex]

[tex] 15x - 12x + 34 = 55 [/tex]

[tex] 3x + 34 - 34 = 55 - 34 [/tex]

[tex] 3x = 21 [/tex]

[tex] \frac{3x}{3} = \frac{21}{3} [/tex]

[tex] x = 7 [/tex]

Exterior angle = [tex] (15x + 34) [/tex]

Plug in the value of x

[tex] 15(7) + 34 = 105 + 34 = 139 [/tex]

Exterior angle = 139°

Answer:

7

Step-by-step explanation:

By Basic proportionality theorem:

[tex] \frac{10}{8} = \frac{3x - 6}{12} \\ \\ \frac{10 \times 12}{8} = 3x - 6 \\ \\ \frac{120}{8} = 3x - 6 \\ \\ 15 = 3x - 6 \\ 15 + 6 = 3x \\ 21 = 3x \\ \frac{21}{3} = x \\ 7 = x \\ \\ \huge \red { \boxed{x = 7}}[/tex]

Answer:

384

Step-by-step explanation:

The pattern is: the sum of the multiplication of the 2 numbers underneath the blank.

48 * 8 = 384

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Answer:

Length=60 meters, width=40 meters.

Step-by-step explanation:

If the perimeter of the rectangular is 200 that means length*width=100. So we take 50 and add 10 and subtract 10. So the width is 40 and the length is 60

Answer:

The sum of all the even integers between 99 and 301 is 20200

Step-by-step explanation:

For the sum of all the even integers between 99 and 301, this can be calculated using the formula for Sum of n terms in an Arithmetic Progression (AP)

Sum of n terms in an AP [tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]

Where [tex]n[/tex] is the number of terms

[tex]a[/tex] is the first term

and [tex]d[/tex] is the common difference

The AP for the sum of all the even integers between 99 and 301 will look like

100 + 102 + 104 + ... + 300

[tex]a[/tex] = 100

[tex]d[/tex] can be calculated by taking the difference of the first two terms or any two consecutive terms of the AP

Hence, [tex]d[/tex] = 102 - 100 = 2

[tex]n[/tex] can be determined from the formula used to calculate the Last term of an AP

[tex]l = a + (n - 1)d[/tex]

Where [tex]l[/tex] is the last term

In the AP, the last term, [tex]l[/tex] = 300

Then

[tex]300 = 100 + (n - 1)2\\300 - 100 = (n - 1)2\\200 = (n - 1) 2\\(n - 1) = 200 / 2\\n - 1 = 100\\n = 100 + 1\\n = 101[/tex]

Hence, there are 101 terms in the AP

Now, to determine the sum

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

[tex]S_{n} =\frac{101}{2}[ 2(100) + (101 - 1)2]\\ S_{n}=\frac{101}{2}[ 200 + (100)2]\\ S_{n}=\frac{101}{2}[ 200 + 200]\\S_{n}=\frac{101}{2}[ 400]\\S_{n} = 20200[/tex]

Hence, the sum of all the even integers between 99 and 301 is 20200

Answer:

4x-9

Step-by-step explanation:

6+7x-4-3x-11

Combine like terms: 7x-3x = 4x

                                :6-4-11 = -9

Combine them together and you get 4x-9

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Subtract  4  from  6

7 x +2-3x-11

Subtract 3x from 7x

4x+2-11

Subtract 11 from 2

4x-9

Answer:

m = 10

Step-by-step explanation:

Divide both sides of this equation by 6.  We get:

m = 60/6 = 10.

Solution:  m = 10

Answer:

m =10

Step-by-step explanation:

Answer:

x=abcl+32

Step-by-step explanation:

We need to solve for x for the below expression :

labc=x−32

Fisrt let's flip the question.

x-32=abcl

Add 32 on both the sides

x-32+32=abcl+32

We know that -32+32 = 0

x = abcl+32

So, the value of x is abcl+32.

Explanation:

Choice A is discrete because it is a finite set. There aren't infinitely many names in here.

The same goes for choice B as well. We have two items in this set { (3,4), (4,3) }. The set of all possible dice rolls is also discrete as there are 6^2 = 36 different ways to roll two dice.

An example of a set that isn't discrete, and continuous, would be the set of real numbers. In this set, we can pick any two values and find the midpoint. We can do this infinitely many times. So in a way, this set is very dense and we can infinitely zoom into a particular region. We can't do the same for a set of finitely many items.

Answer:

A) x intercept: (2, 0) , (-2, 0)

y intercept: (0, 16)

B) symmetric about y axis

Step-by-step explanation:

Given the function:

[tex]y=16-4x^{2}[/tex]

To find:

Algebraically, A) find the x and y intercepts and B) the symmetry type.

Solution:

A) x intercept, let us put y = 0

[tex]y=16-4x^{2}[/tex]

[tex]0=16-4x^{2}\\\Rightarrow 4x^2=16\\\Rightarrow x^2=4\\\Rightarrow x =+2, -2[/tex]

x intercept:  (2, 0) , (-2, 0)

For y intercept, put x = 0

[tex]y=16-4x^{2}[/tex]

y = 16 - 0 =16

y intercept: (0, 16)

B) If the quadratic equation is given as: [tex]y=ax^2+bx+c[/tex],

the axis of symmetry is a vertical line [tex]x=-\frac{b}{2a }[/tex]

Here, c = 16

b = 0 and

a = -4

So, Axis of symmetry is:

[tex]x=-\dfrac{0}{2\times (-4)} = 0[/tex]

which is the equation of y axis.

So, given equation is symmetric about y axis.

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

Bring the given equation to mentioned form:

Since m = 2/3, it is the slope of the given equation