Question 12
What is the length of a segment with endpoints at (-3, 4) and (4, 4)?

Answer:

Step-by-step explanation:

In this problem we are expected to calculate the amount Mary will save per week based on her 25% plan on her weekly earning of $700

hence we have to calculate 25% of $700 and that will be the answer to the problem

we have

weekly savings = (25/100)*700

weekly savings = 0.25*700

weekly savings= $175

Hence Mary will save $175 per week if she follows the  25% plan  of her weekly earnings

Answer:

1). Option (3)

2). Option (D)

Step-by-step explanation:

1). Integers are the numbers which are whole numbers with negative or positive notations.

Integers can't be a fraction or a number with decimal.

Out of the numbers given,

-18 and 4 will be the integers

Option (3) is the correct answer.

2). Shaded portion of the diagram represents the rational numbers excluding integers,

By the definition of the rational numbers, any number which can be written as a fraction is a rational number.

Rational numbers → All numbers given are the rational numbers

Integers → [tex]\frac{16}{4}=4, -\frac{30}{5}=6, -\frac{32}{8}=-4[/tex]

Therefore, only one number [tex]\frac{30}{9}[/tex] will lie in the shaded region.

Option (D) will be the answer.

im not going to give u the answer but all you do is

step by step :

#1. D2- (-6*2),(0*2)=(-12,0)

(3*2), (-9*2)= (6,-18)

(12*2),(4*2)=( 24,8)

Answer:

Leg₂ ≈ 6.481 or √42

Step-by-step explanation:

a² + b² = c²

(√7)² + b² = (7)²

7 + b² = 49

b² = 42

b = √42

b ≈ 6.481

Answer:

11x-55-5a+ax

11(x-5)+a(x-5)

(11+a)(x-5)

Step-by-step explanation:

First you factor out the common factors

for(11x-55) is would be 11 as both of these figures are the multiple of 11

for(ax-5a) the common factor is a which will be factor out

Then after doing the process you will get

11(x-5)+a(x-5)

then factor out(x-5)which will give you

(11+a)(x-5)

Answer:

Answer is below. I have grouped it.

Step-by-step explanation:

=(11x-55) + (-5a+ax)

=11 ( x - 5) +a ( -5+x)

= 11(x-5)+a(x-5)

(11+a)(x-5)

(x-5)(11+a)

Answer:

100 ml of concentrate and 350 ml of water

Step-by-step explanation:

2 + 7 = 9 total parts

450/9 = 50

2(50) = 100 ml concentrate

7(50) or 450 - 100 = 350 ml water

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

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Explanation:

See the diagram below.

We start with triangle PQR with the given angles mentioned. Then you extend out segment QR to form line QR. It goes off infinitely in both directions.

The exterior angle x adds to the interior angle Q = 40 to get 180

x+40 = 180

x+40-40 = 180-40 ... subtract 40 from both sides

x = 140

The exterior angle is 140 degrees

Answer:

[tex]-\frac{1}{28}[/tex]

Step-by-step explanation:

-1/2 ÷ 2(9+3)-4 - 3/4(8)

-0.5 ÷ 2(12)-4 - 3/4(8)

-0.5 ÷ 2(12)-4 - 6

-0.5 ÷ 24-4 - 6

-0.5 ÷ 14 = [tex]-\frac{1}{28}[/tex]

Answer:

if f(x)=0,

then 2x-7=0

so,x=7/2

Answer:

f−1(x)=12(y−7). Explanation: Given: f(x)=2x+7. Let y=f(x). y=2x+7. Expressing x in terms of y gives us the inverse of x. y−7=2x. 2x=y−7. x=12(y−7)

Answer:  see proof below

Step-by-step explanation:

Use the following Double Angle Identities: cos 2A = 1 - 2sin²A

                                                                        sin 2A = 2sinA · cosA

[tex]\text{Given:}\quad \tan A = \dfrac{x}{y}[/tex]

Proof LHS = RHS

y cos 2A + x sin 2A = y

                  x sin 2A = y - y cos 2A

                  x sin 2A = y(1 - cos 2A)

                  [tex]\dfrac{x}{y}=\dfrac{1-\cos2A}{sin\ 2A}[/tex]

                  [tex]\dfrac{x}{y}=\dfrac{1-(1-2sin^2A)}{2\sin A\cdot \cos A}[/tex]

                  [tex]\dfrac{x}{y}=\dfrac{2sin^2A}{2\sin A\cdot \cos A}[/tex]

                  [tex]\dfrac{x}{y}=\dfrac{\sin A}{\cos A}[/tex]

                  [tex]\dfrac{x}{y}=\tan A}[/tex]

This is a TRUE statement since it was given that  [tex]\tan A = \dfrac{x}{y}[/tex]  

Answer:

Sparkle wands:  NO

Fairy wands:  YES

Glass wands:  NO

Step-by-step explanation:

To find the price per glitter wand, you have to divide the price of the wands by the amount of wands you have.

$50/8 = $6.25

Divide the price of the wands by the amount you get.

Sparkle wands:  $20/4 = $5

Fairy wands:  $37.50/6 = $6.25

Glass wands:  $65/10 = $6.50

The sparkle wands and the glass wands do not have the same price per wand as glitter wands.

The fairy wands have the same price per wand as glitter wands.

Answer:

Glow wands = no

Fairy Wands= yes

Sparkle Wands = No

Step-by-step explanation:

Khanacademy

Trust

Answer:

-9

Step-by-step explanation:

y = 8

x = -3

Answer:

Your answer will be (-9)

This is how I got my answer-

2(2-y)-x

2(2-8)-(-3)

2 - 8= (-6)

2 × (-6) = (-12)

(-12) - (-3) = (-9)

Answer:

12x² - 4x - 8

Step-by-step explanation:

Use FOIL method

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

                        = 12x² - 12x + 8x - 8   {add like terms}

                        = 12x² - 4x - 8

Hint: 3x * 4x  -----> Multiply the coefficients = 3 *4 = 12 and then multiply the variables and for multiplying the two variable, add the powers

x*x =[tex]x^{1+1)=x^{2}[/tex]

3x * 4x = 12x²

Answer:

23.4696 liters

Step-by-step explanation:

Answer:

A whole number, an integer, a rational number and a real number.

Step-by-step explanation:

It is a whole number, which makes it an integer, which makes it rational, which makes it real.

Answer:

I dont get the question, is there suposed to be a chart?

Step-by-step explanation:

Answer:

-10x+1.5

Step-by-step explanation:

-2(5x-0.75).... distributive property

-10x+1.5

Note:

-&-=+

+&+=+

+&-=-

-&+=-

Hope this helps ;) ❤❤❤

Answer:

d

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

ax/ay=r^(x-y)

in this case it will be

a4/a1=r^(4-1)

24/3=r^3

8=r^3

r=2

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

an=a1×r^(n-1) ⇔ geometric sequence formula

a2=3×2^(2-1)

a2=3×2^1

a2=3×2

a2=6

Answer:

5^4

Step-by-step explanation:

i cant really explain except a power means you time that number that many times so so 5 to the 4th power

Answer:

[tex]5^4\\[/tex]

Step-by-step explanation:

Recall that exponents are a convention used to simplify the writing of expressions that involve the multiplication of a repeated factor by using as the base of the exponent the factor that is multiplied, and for the exponent the number of times the actor appears:

[tex]a\,*\,a\,*\,a\,*\,a=a^4[/tex]

so in your case, the base (repeated factor) is 5, and the exponent (number of appearances of the factor 5 is 4:

[tex]5*5*5*5=5^4[/tex]

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

[tex]a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0[/tex]

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

Perimeter of triangle = Sum of all sides.

One side of triangle = 10 cm

Measure of other two sides will be → 24-10

Other two sides sum will be = 14 cm

Let's assume one side as x and other as 14-x

Now hypotenuse is of 10 cm

According to Pythagorean theoram

Hypotenuse² = Perpendicular ² + base²

→ 10² = (x)² + (14-x)²

→ 100 = x² + (14-x)²

(a-b)² = a²+b² -2ab

→ 100 = x² + 196 + x² -28 x

→ 100 = 2x² + 196 - 28x

Taking 2 commen both sides

→ 50 = x² -14x + 98

→ 0 = x² -14x +98-50

→ x² -14 x +48 = 0

Factorising :-

→ x² - 6x - 8x + 48 = 0

→ x( x -6) -8(x -6) = 0

→ (x-6)(x-8) = 0

→ x = 6 or x = 8

So x is 6 or 8

Other two sides of triangle are 6 cm and 8 cm

Answer:

(5, 12, 13)

Step-by-step explanation:

Hello, please consider the following.

[tex](\forall (x,y) \in \mathbb{R}^2) \ \ (x^2-y^2)^2+(2xy)^2=(x^2+y^2)^2\\\\\text{You can develop both expressions to see that this is equal.}\\\\\text{After }(3,4,5)\text{ we can try the triple starting with }5\\\\\text{So, let's search x and y such that } 5=x^2-y^2=9-4=3^2-2^2\\\\\text{And, then, it comes}\\\\(3^2-2^2)^2+(2*3*2)^2=(3^2+2^2)^2\\\\<=> 5^2+12^2=13^2\\ \\\text{So, }(5,12,13)\text{ is a Pythagorean triple}[/tex]

Is it a primitive one?

5 = 1 * 5

12 = 1 * 2 * 2 * 3

13 = 1 * 13

So this is a primitive one.

Thanks

Answer:

5, 12, 13

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

x^2 + 5x = 150

x^2 + 5x - 150 = 0

This equation will factor:

(x - 10)(x + 15) = 0

x - 10 = 0 or x + 15 = 0, so:

x = 10 or -15.

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Work Shown:

First get everything to one side

[tex]x^2 + 5x = 150\\\\x^2 + 5x - 150 = 0\\\\[/tex]

Now use the quadratic formula

Plug in a = 1, b = 5, c = -150.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(5)\pm\sqrt{(5)^2-4(1)(-150)}}{2(1)}\\\\x = \frac{-5\pm\sqrt{625}}{2}\\\\x = \frac{-5\pm25}{2}\\\\x = \frac{-5+25}{2} \ \text{ or } \ x = \frac{-5-25}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 10 \ \text{ or } \ x = -15\\\\[/tex]

Factoring, completing the square, or graphing are alternative methods to get these two answers. We see that the positive root is x = 10.

Answer:

3 x (14-3) = 33

Step-by-step explanation:

The algebraic expression will be : 3(x - 4) = 33

Given,

3 times the difference of a number and 4 is 33

Now,

Let the number be x .

So,

Three times the difference of x and 4 will be 33 .

So,

First subtract x-4

Then thrice of this is 33

So,

3(x - 4) = 33

Thus the algebraic expression is 3(x - 4) = 33 .

After solving the expression:

x- 4 = 11

x = 15

Know more about algebra,

https://brainly.com/question/16934260

#SPJ6

Answer:

4ab² + 20b - 3a

Step-by-step explanation:

This question most likely asks us to simplify the expression, as factoring is not possible...

(ab² + 13b - 4a) + (3ab² + a + 7b),

ab² + 13b - 4a + 3ab² + a + 7b,

ab² + 3ab² + 13b + 7b - 4a + a,

Solution : 4ab² + 20b - 3a

Answer:

-14 F

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

5000×5/100 =250

why because you times it for commission because it what you gain

Answer:

Answer = 25

Step-by-step explanation:

125 = 5f

125/5 = f

25 = f

Answer:

Step-by-step explanation:

studying Math       65

Studying science   50

studying both          35

student are studying in the college are:(65+50)-35=80 students

student studying math only= 65-35=30

student studying science only = 50-25=15

Answer:

Domain: (-11, 4)

Step-by-step explanation:

Domain is the set of all x-values that can be inputted into a function.

So we look at x-values that can be inserted into the graph.

We notice that we cannot input x = -11 or x = 4 as it is open-pointed but everything inbetween works, so we have (-11, 4) as our domain.

Answer:

39.75

Step-by-step explanation:

take the total cost multiply it by 1.08 then subtract that from the final cost hope it helps

Answer:

$39.75

Step-by-step explanation:

Step 1: multiply 43.20x.08=3.45

Step 2: subtract 43.20-3.45=39.75

All done!