factorise the following
a) 32a^2-98b^2
b)m ^2 -64n^2

Answer:

six

Step-by-step explanation:

Six sigma is defined as the method or a set of techniques that provides the provides the organization tools and techniques to improve the capability and and be efficient of their business process. It is a concept of process improvement.

It refers to the achieving of a process variability very small so that the design specification represents six standard deviations which is above as well as below the process mean.

Answer:

Step-by-step explanation:

If two lines are perpendicular then the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 14x - 2   ⇒   m₁=14

14×m₂ = -1        ⇒    m₂ = -¹/₁₄

The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:

3 = -¹/₁₄×3 + b must be true

3 = -³/₁₄ + b

b = 3³/₁₄

Therefore equation in  slope-intercept form:

                                                y = -¹/₁₄x + 3³/₁₄

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Finding the slope of f(x)

Given the table of the function f(x)

x        f(x)

-1        -5

0        -1

1          3

Finding the slope using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]

[tex]m=4[/tex]

Thus, the slope of the function f(x) = 4

Finding the slope of g(x)

We know the slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the function

[tex]g(x) = 2x-7[/tex]

comparing with the slope-intercept form

y = mx+b

The slope of the function g(x) = 2

Thus, we conclude that:

Hence, the slope of f(x) is greater.

Part b)

Finding the y-intercept form of f(x)

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

From the table,

It is clear at x = 0, y = -1

Hence, the y-intercept of the function f(x) = -1

Finding the y-intercept form of g(x)

Given the function

[tex]g(x) = 2x - 7[/tex]

comparing with the slope-intercept form (y = mx+b)

[tex]y = mx+b[/tex]    

where b is the y-intercept

Hence, the y-intercept of g(x) = b = -7

Thus, we conclude that:

Hence, the y-intercept of f(x) is greater.

Answer:

90-39=51 thats a 90° angle

Answer:

x = 2.4

y = 31

Step-by-step explanation:

Angle B = 25x

BC = 31

therefore , this is an equilateral triangle all sides and angles are equal,

25x =60

x = 2.4

BC = BA = AC

y= 31

Answer:

If JL = 16, we will get JK = 7

Option A is correct option.

Step-by-step explanation:

We are given:

K is between J and L

JK = 3x – 5, and KL = 2x + 1.

IfJL = 16, what is JK

We know that K is between J and L it means it divides JL into JK and KL equally or we can say that adding JK and KL we can get JL

So, We can write:

[tex]JL = JK + KL\\16=3x-5+2x+1[/tex]

Solving the expression we can find first value of x and then value of JK

[tex]16=3x-5+2x+1\\16=5x-4\\16+4=5x\\20=5x\\x=\frac{20}{5}\\x=4[/tex]

So, we get x = 4

Now, put the value of x in JK=3x-5 to get value of JK

[tex]JK = 3x-5\\JK=3(4)-5\\JK = 12-5\\JK=7[/tex]

So, if JL = 16, we will get JK = 7

Option A is correct option.

Answer:

9  Remainder 6

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 13 on the left side and the dividend 123 on the right side like this:

 1 3 ⟌ 1 2 3

Step 2:

The divisor (13) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 3 ⟌ 1 2 3

Step 3:

Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer below the dividend.

       0    

 1 3 ⟌ 1 2 3

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 3 ⟌ 1 2 3

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

Step 6:

The divisor (13) goes into the bottom number (12), 0 time(s). Therefore, put 0 on top:

       0 0  

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

Step 7:

Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer at the bottom:

       0 0  

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (12 - 0 = 12) and write the answer at the bottom.

       0 0  

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2  

Step 9:

Move down the last digit of the dividend (3) like this:

       0 0  

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2 3

Step 10:

The divisor (13) goes into the bottom number (123), 9 time(s). Therefore put 9 on top:

       0 0 9

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2 3

Step 11:

Multiply the divisor by the result in the previous step (13 x 9 = 117) and write the answer at the bottom:

       0 0 9

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2 3

       1 1 7

Step 12:

Subtract the result in the previous step from the number written above it. (123 - 117 = 6) and write the answer at the bottom.

       0 0 9

 1 3 ⟌ 1 2 3

     - 0    

       1 2  

     -   0  

       1 2 3

     - 1 1 7

           6

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 123 divided by 13 calculated using Long Division is:

Answer:

The answer is A. The first one.

I hope this helps. ;)

Answer:

It is A on edge 2020

Step-by-step explanation:

Answer:

The answer is 12.

Explanation:

The bottom is seconds, and on the left side it is feet.

Look at the bottom and find the number 1.5.

Stop there on the line and move up until you hit the dark blue line.

It stops at 12. So that is your answer.

I hope this helps! Have a nice day!

Answer:

The number is : x = 37

Step-by-step explanation:

In order to solve this question, we may set up a proportion.

If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.

so

59.94 → 162%

x → 100%

solving the proportion gives you  

59.94 × 100 = 162 × x

x = (59.94 × 100)/162

x =  5994/162

x= 37

Thus, the number is : x = 37

Answer:

X=63

Step-by-step explanation:

180-134=46

since the sides are same, the angles are 67.

x+4=67

x=63

Answer:

Benny's:[tex]15/0.5= 30 \\[/tex]

= 30 seconds to complete his bottle

Juan's = [tex]10/0.25 = 40[/tex]

= 40 seconds to complete his water bottle.

Step-by-step explanation:

Hope this helped you so much with your math problem, and I hope that I get brainly.

Answer:

R= 30-9t.... I think

Step-by-step explanation:

Answer:

V = 8,181.23 [tex]cm^{3}[/tex]

Step-by-step explanation:

Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...

V = [tex]\frac{4}{3} * \pi * r^{3}[/tex]

radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.

V = [tex]\frac{4}{3} * \pi * 12.5^{3}[/tex]

V = [tex]\frac{4}{3} * \pi * 1953.125[/tex]

V = 8,181.23 [tex]cm^{3}[/tex]

Answer:

Jalen's purchase unit rate: 0.3

Tia's purchase unit rate: 0.45

0.45 - 0.3 =

Step-by-step explanation:

Answer:

11:45 PM

Step-by-step explanation:

please mark brainliest :D

Answer:

the answer is 56

Step-by-step explanation:

15+45+70+30+120=280

280 divided by 5 is 56

To find the mean absolution deviation you add all the digits and then divide the sum by the amount of numbers displayed

Hope this helps

Have a great day!

Answer: She have to drink 3 bottles of water.

Step-by-step explanation:

Given: Weight of Kathryn = 121.5 pounds

half of her weight = [tex]\dfrac{121.5}{2}=60.75\text{ pounds}[/tex]

So, she need to drink 60.75 pounds of water.

Kathryn's water bottle holds 20.25 ounces.

Number of water bottles she need to drink = (half of her weight) ÷ (Capacity of bottle)

[tex]=\dfrac{60.75}{20.25}\\\\=\dfrac{6075}{2025}\\\\=3[/tex]

Hence, she have to drink 3 bottles of water.

Answer:

n=6t

Step-by-step explanation:

6 cars parked per hour

t is the hours

6 is the slope

y=mx+b

n=6t

Hope this helps.

Answer:

bail

Step-by-step explanation:

Answer: A,C

Step-by-step explanation: They are facing each other making them interior angles

Answer:

I'm not sir but I think it is ISOSCELES

Answer:

32

Step-by-step explanation:

Divide 24 by 3/4 to find the number.

24 ÷ 3/4

= 24 × 4/3

= 32

Answer:

3/4×X=24

4×3/4×X=4×24

3x=96

X=32

Step-by-step explanation:

Answer:

D: It is important that subject characteristics such as hair length, hair color, and gender are distributed equally among the treatment groups.

Is correct

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The answer for the question after is 50, which should be similar to the same question here.

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ED2021