What is the slope of the line through (-4,2)(−4,2)left parenthesis, minus, 4, comma, 2, right parenthesis and (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis?

Answer: 48 and 37

Step-by-step explanation:

Difference between two square numbers

= 64 ([tex]8^{2}[/tex]) - 16 ( [tex]4^{2}[/tex])

= 48

Difference between two cube numbers

= 64 ([tex]4^{3}[/tex]) - 27([tex]3^{3}[/tex])

= 37

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Answer:

1 kilogram was eaten

Step-by-step explanation:

Answer:

1 kilogram was eaten during that meal.

Answer:

I really want points because I'm struggling with a lot of homework

Answer:

The equation in Slope-intercept form:

[tex]y = \frac{2}{3}x + 2[/tex]

Step-by-step explanation:

-Find the slope first, by using the slope formula:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2},y_{2})[/tex] is the second point).

-Use two given points  from the following problem for the slope formula:

[tex]m = \frac{6-2}{6-0}[/tex]

-Then, solve the equation:

[tex]m = \frac{6-2}{6-0}[/tex]

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

After you have the found the slope, use both the slope [tex]\frac{2}{3}[/tex] and the first point [tex](0,2)[/tex] for the Point-slope formula:

[tex]y - y_{1} = m (x-x_{1})[/tex]

(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point).

-The equation in Point-slope form:

[tex]y - 2 = \frac{2}{3} (x-0)[/tex]

Then, you solve:

[tex]y - 2 = \frac{2}{3} (x-0)[/tex]

[tex]y - 2 + 2= \frac{2}{3} (x-0) + 2[/tex]

[tex]y = \frac{2}{3}x + 2[/tex]

-So, the equation in Slope-intercept form would be:

[tex]y = \frac{2}{3}x + 2[/tex]

The equation of the line is y = 2x/3 + 2 if the line that passes through (0, 2) and (6, 6).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through (0, 2) and (6, 6)

The slope-intercept form of the equation:

Slope of the line = (6-2)/(6-0)

The slope of the line = 2/3

The equation of the line:

y = 2x/3 + 2

Thus, the equation of the line is y = 2x/3 + 2 if the line passes through (0, 2) and (6, 6).

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

g=3

Step-by-step explanation:

(x+7)(x-4)=x(x-4)+7(x-4)=x²-4x+7x-28=x²+3x-28

it should be gx ,then g=3

if ge then ge=3x

Answer:g=3x

Step-by-step explanation:

I wrote this in the comments to but now it’s allowing its allowing me to answer so here: simplify the left side by distributing the values and it turns out to be x^2+3x-28 and the right side stays the same. We write this as x^2+3x-28=x^2+g-28. We then simply by the addition property of equality by adding 28 to both sides. We are left with x^2+3x=x^2+g. We then subtract x^2 from both sides ending up with g=3x.

Quotient=3x^2+2x+2

Remainder=8

please see the attached picture for full solution

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Good luck on your assignment

I solved in the picture

Hope this helps ^-^

Answer:

A recursive formula always uses the preceding term to define the next term of the sequence. Sequences can have the same formula but because they start with a different number, they are different patterns.

Step-by-step explanation:

hope this helps

Answer:

Around 25.8 square units

Step-by-step explanation:

[tex]A=\dfrac{1}{2}(5)(18)(\sin 35)=\\\\45\cdot \sin 35\approx 25.8[/tex]

Hope this helps!

Answer:

Is there a reference picture I could use?

Step-by-step explanation:

Answer:

9/25

Step-by-step explanation:

36/100 = 9/25

Answer:

$14.94

Step-by-step explanation:

To find the money earned per hour, you need to divide the total money earned by the hours worked.

$418.24/28 = $14.94

Answer:

hope this helps you

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Answer:

$42

Step-by-step explanation:

The yearly membership is $450.

The monthly membership is $41. This means that in a year, the membership fee will be:

41 * 12 = $492

We have to subtract the yearly fee from this.

That means that if you choose the yearly membership over the monthly membership, you'll save:

492 - 459 = $42

Answer:

The correct answer is $42.

Answer:

1

Step-by-step explanation:

An event that is certain to happen has a probability of 1.

Answer:  Option

 1

Step-by-step explanation:

Answer:

x1 = -3

x2 = -5

y1 = -7

y2 = -15

Step-by-step explanation:

y = 4x +5

y = x2+12x+20

substitute y in second equation with first and solve quadratic equation

4x+5 = x² +12x + 20

x²+8x + 15 =0

D= b² - 4ac

a = 1

b = 8

c = 15

D = 64 - 60 = 4

D>0 => 2 real roots

x1 = [tex]\frac{-b+\sqrt{D} }{2a}[/tex]= (-8+2)/2 = -3

x2 =[tex]\frac{-b-\sqrt{D} }{2a}[/tex] = (-8-2)/2 = -5

having roots of x we can calculate y

y1 = 4x1+5 = 4*-3 +5 = -12 +5 = -7

y2 =4x2+5 = 4*-5+5 = -20 + 5 = -15

x1 = -3

x2 = -5

y1 = -7

y2 = -15

Answer:

The answer is A.

Step-by-step explanation:

I just took the test and got a 100%

Step-by-step explanation:

A) 1

B) 3

C)4

D)11

E)8.75

F)240

G)12

H)1.5

(Make the ratios equal to each other)

(In reduced versions of themselves)

Answer:

a. 1 person

b. 3 people

c. 25 track shirts

d. 12 CDs

e. $8.75

f. 240 miles

g. $12

h. 1.5 gallons of red paint

Step-by-step explanation:

find out what the new given denominator (bottom number)/ numerator (top number) and divide the missing denominator/numerator by the number founded for the given numerator. in example: 3 people/9 pizzas. we are given the denominator of 3 pizzas and 9 divided by 3 is 3. so if the denominator is is dived by 3 the numerator must be divided by 3 as well. vice versa (same thing) if it was the numerator was given.

Answer:

Step-by-step explanation:

x+100+x = 180 (angles in a straight line)

2x=180-100

2x = 80

x =80/2

x = 40

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hope it helps you.

Let's solve for f.

9xyf=87

Step 1: Divide both sides by 9xy.

9fxy / 9xy  =  87 / 9xy

Description:

Since we are solving for f. Step 1 is to divide both sides by 9xy. That the only step to do. After you divide you answer will come as...

Answer: f=29/3xy

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Hope this helps.

Answer:

The expected value can be calculated as:

Es = x₁*p₁ + x₂*p2 + .....

where xₙ is the event (the amount of money that you win or lose, and pₙ is the probability for the event)

for example, in a 10 side dice, the probability of obtaining a specific number is 1/10.

we have a d10 i guess (a dice with 10 sides, 1 to 10)

if you roll from 1 to 7, nothing happens.

If you roll an 8, you lose $1500

if you roll a 9, you lose $75

if you roll a 10, you lose $2000 (and the game)

the expected value is,

Es = 1/10*(7*0 - 1*$1500 - 1*$75 - 1*$2000) = -$357

in the second case, you start paying $500.

if you roll a 7, you must pay $1000, if else, nothing happens.

Then the expected value is

Es = -$500 - 1/10*(-1*$1000 + 9*$0) = -$600

So the expected value is smaller in this case, so the deal is not fair

Answer:

here is the answer

Step-by-step explanation:

(x + y, x - y)= (4,2)

therefore, x + y= 4 and x - y = 2

equating

x +y =4

x= 4-y

substituting

x - y= 2

(4-y)-y=2

4-2y=2

4-2=2y

2=2y

2/2=y

1=y

therefore,

x + y=4

x + 1=4

x= 4 - 1

x=3

verifying

3 + 1=4

4=4

3 - 1=2

2=2

Answer:

118.3

Step-by-step explanation:

The formula for the area is a triangle is base*height/2

Area = 18.2*13/2 = 118.3

Answer:

118.3

1/2b×h

1/2(13)x18.2

6.5×18.2

118.3m^2

Answer:

A=700

Explaination:

A=2(wl+hl+hw)=2·(12·7+14·7+14·12)=700

Answer:

The probability is 0.0069

Step-by-step explanation:

First thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD/√(n)

where x = 9.1 , mean = 8.4 , SD = 1.8 and n = 40

Plugging these values into the z-score equation, we have;

z-score = (9.1-8.4)/1.8/√(40) = 0.7/1.8/6.325 = 0.0615

Now, we check the standard normal table for P(z > 2.46) = 0.0069

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here, we are told that the school is trying to plant a garden which is trapezoidal in shape and we want to calculate the area of this said garden.

Mathematically, the area of the garden can be calculated using the formula;

A = 1/2 (a + b)h

here in this question, a is the value on the right hand side which is 75 ft, b is the value on the left hand side which is 85ft while h is the value on the bottom

which is 102 ft

Inserting these values into the equation, we have:

A = 1/2( 75 + 85) * 102

A = 1/2 * 160 * 102

A = 8,160 ft^2

Answer:

A. x = 24

B. x = 20

Step-by-step explanation:

→A. Add 2 to both sides:

[tex]\frac{x}{3} -2=6[/tex]

[tex]\frac{x}{3} =8[/tex]

→The fraction [tex]\frac{x}{3}[/tex] is really just [tex]\frac{1}{3}x[/tex]:

→Multiply 3 to both sides:

x = 24

→B. Subtract 1 from both sides:

[tex]\frac{x}{5} +1=5[/tex]

[tex]\frac{x}{5} =4[/tex]

The fraction [tex]\frac{x}5}[/tex] is really just [tex]\frac{1}{5}x[/tex]:

→Multiply 5 to both sides:

x = 20

Answer:

A

Step-by-step explanation:

For functions with x in the denominator we want to make sure the denominator isn't 0. If x can't be -2 then the answer is A because x = -2 results in f(x) = 1/0 which is undefined.

Answer:

[tex]4.32*10^{5}[/tex]

Step-by-step explanation:

Given the expression [tex]4.9*10^{5}-5.8*10^{4}[/tex], to solve the expression, we need to write both scientific notation to the same power of 10.

[tex]5.8*10^{4} is \ expressed\ as \ 0.58*10^{5}[/tex]

The expression above becomes [tex]4.9*10^{5}-0.58*10^{5}[/tex]. On taking the difference;

[tex]4.9*10^{5}-0.58*10^{5}\\= (4.9-0.58)*10^{5} \\= 4.32*10^{5}[/tex]

The final expression gives the right answer