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Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

Answer:

y = 3/4x + 7

Step-by-step explanation:

Put it in point-slope form:

y - 4 = 3/4(x - -4)

y - 4 = 3/4(x + 4)

y - 4 =3/4x + 3

y = 3/4x + 7

Answer:

cosH = JH/KH

Step-by-step explanation:

coa refers to base by hypotenuse

for H,

the base is JH and the hypotenuse is KH.

In the given right angled triangle cos H is equivalent to sin K

A triangle in which one of the interior angles is 90° is called a right triangle

Here,

Cos H =  Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]

In the given option

sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]

Therefore Cos H is equivalent to the sin K

Hence, sin K is equivalent to the cos H

Learn more about right angled triangle here

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Answer:

Simple: C. 70% = Rs. 84

Step-by-step explanation:

cause it can't be 120% if Rs.120 is the 100%

Answer:

(a) Infinite

(b) 6 (because a to z contains 26 letters so we can only take 26 letters or less otherwise the letter can be repeated so we have to take the num which is coming in table of 4 so 24then we can make 6passwords)

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Answer: -3 and 1/3

Step-by-step explanation:

There’s your answer

Answer:

36

Step-by-step explanation:

devide 105 by 3 then add one 34+35+36=105

Answer:

It's 37 because the three are 33, 35, and 37. 37 is the largest of all of them.

Step-by-step explanation:

105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.

Answer:

36

Step-by-step explanation:

6+6=12 12+12=24 9+6=15 15+24=39

Answer:

9 x a x a x a x a x a x a

Step-by-step explanation:

[tex](3a^{3})^{2} = 9a^{6} \\[/tex]  Here, we use the law of indices. Everything inside the bracket has to be squared, so 3^2 = 9 and (a^3)^2 = a^6 We use the rule of when one power is within a bracket and one outside, we multiply the two powers together instead of adding.

3^2 can be simplified to 9 as this is simply 3 x 3, but a^6 (this is still a value with an exponent) cannot be simplified so we break this down into the notation of a x a x a x a x a x a

Therefore 9 x a x a x a x a x a x a is the answer.

I hope this helps you!! ^-^

The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given the expression,

(3a³)²

By the law of indices

(3a³)² = 3²(a³)²

(3a³)² = 9a⁶

But we cannot write it in exponent form

So,

9a⁶ = 9 × a x a x a x a x a x a.

Hence "The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a".

For more information about the expansion,

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Answer:

The system of equations has one solution. The equations have different slopes, so the lines intersect at one point.

If a system of equations have the same slope, then the lines will run parallel to each other and never cross, leading to no solution being possible. Or if they have the same slope and same y-intercept (therefore being equations for the same line), they will have an infinite number of solutions.

Step-by-step explanation:

The solution to a system of equations is the point where the lines intersect. Looking at this question if we remember the slope-intercept form y=mx+b where m is slope and b is the y-intercept. We can see m=1 for the first equation and m=2 for the second equation. Anytime two equations have different slopes it is guaranteed they will intersect at some point leading to one solution.

Answer:

45.44units^3

Step-by-step explanation:

Volume of the shaded part = Volume of the triangular based prism - Volume of square based prism

Volume of prism = Base area * Height

Volume of the triangular based prism = (5 * 4 * 5.7)/2

Volume of the triangular based prism = 57units^3

Volume of square based prism = 1.7* 1.7 * 4

Volume of square based prism = 11.56units^3

Taking the difference

Volume of the shaded solid = 57 - 11.56

Volume of the shaded solid  = 45.44units^3

Answer:

B

Step-by-step explanation:

Answer:

1. +25

2. +14

3. -10

4. -3

5. +2

Step-by-step explanation:

I hope these help , please tell me if i got any incorrect or misunderstood!

Answer:

= 0.0471 or 4.71%

Step-by-step explanation:

(5/52) x (25/51)

= 0.04713423831

Answer:

We have the sentence:

"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"

Let's break it into parts.

"X by the power of 5 times y to the power of 6..."

This can be written as:

x^5*y^6

"...  2 by the power of -2 times x by the power of 0times x by the power of 9"

This can be written as:

2^(-2)*x^(0)*x^(9)

And we have the quotient between the first thing and the second thing, then the equation is:

[tex]\frac{x^5*y^6}{2^{-2}*x^0*x^9}[/tex]

And any number by the power of 0 is equal to 1, then:

x^0 = 1, then we can rewrite the equation as:

[tex]\frac{x^5*y^6}{2^{-2}*x^9}[/tex]

We can keep simplifying this.

We know that:

a^(-n) = (1/a)^(n)

Then:

2^(-2) = (1/2)^2 = 1/4

Then we get:

[tex]\frac{x^5*y^6}{2^{-2}*x^9} = \frac{x^5*y^6}{x^9}*4[/tex]

And we also know that:

a^n/a^m = a^(n - m)

Then:

[tex]\frac{x^5*y^6}{x^9}*4 = 4*y^6*\frac{x^5}{x^9} = 4*y^6*x^{5 - 9} = 4*y^6*x^{-4} = \frac{4*y^6}{x^4}[/tex]

And we can't simplify this anymore.

Answer:

The answer is 4

Step-by-step explanation:

[tex]c \: (t) = {30ft}^{2} = - 240t + 500[/tex]

For a quadratic function as given to find the minimum you need to write it in vertex or find the vertex (the vertex in a quadratic function is thr maximum or minimum).

Use the next formula to find the t coordinate of the vertex (the time in the minimum concentration of bateria):

[tex]c \: (t) = {at}^{2} + bt + c \\ \\ tm = - \frac{b}{2a} [/tex]

For the given function:

[tex]tm = - \frac{ - 240}{(2)30} = \frac{240}{60} = 4[/tex]

The minimum concentration of bacteria will be after 4 days.

Answer:

The answer is B

Step-by-step explanation:

3/4

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Answer:

Situation B

Step-by-step explanation:

Which situation will get you a greater number of servings? (Lesson 4)

Situation A: A 3 quart container of ice cream with a serving size of ⅔ cup.

2/3 cup = 3 quarts

1 cup = x quarts

Cross Multiply

2/3 cup × x = 1 cup × 3 quarts

x = 3 ÷ 2/3

x = 3 × 3/2

x = 9/2

x = 4 1/2 quarts

Situation B: A 4 quart container of ice cream with a serving size of ¾ cup.

3/4 cup = 4 quarts

1 cup = x quarts

Cross Multiply

3/4 cup × x = 1 cup × 4 quarts

x = 4 quarts ÷ 3/4 cups

x = 4 quarts × 4/3 cups

x = 16/3 quarts

x = 5 1/3 quarts

Answer:

K 110

Step-by-step explanation:

Find the amount to be spent for each item/service

18% of $400= $72

20% of $400= $80

35% of $400= $140

Now, add all his expenditures and subtract it from his income

$400 - ($72+$80+$140) = $400 - $290 = $110

Answer: 120 pounds

Step-by-step explanation: 30 days in a month so times that by 4 months

Answer:

12

Step-by-step explanation:

Answer:

15 units squared

Step-by-step explanation:

sorry if im wrong

Answer:

12

Step-by-step explanation:

Area of triangle + area of square + area of triangle = total area

(Area of a triangle: A = 1/2bh)

(Area of a square: A = bh)

Area of smallest triangle =

A = 1/2 (2) (2) = 2

Area of largest triangle=

A = 1/2 (2) (6) = 6

Area of the square =

A = 2 x 2 = 4

Total shape:

2 + 4 + 6 = 12

Answer:

1900

Step-by-step explanation:

Jason wants to buy a car

He has $2500 in his savings account

He also needs $600 to pay for insurance

Therefore the amount he can pay for the car can be calculated as follows

= 2500-600

= 1900

Answer:

The answer is 3

Step-by-step explanation:

The answer is 3 because x= 15/5 = 3

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!