a line is parallel to y=3x-2 and intersects the point (3,5)

Answer:

Step-by-step explanation:

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

Answer:

46.8 cm^3

Step-by-step explanation:

Answer:

-3x^2+5

Step-by-step explanation:

f(g(x)) = 3(g(x))+2 = 3(-x^2)+3+2 = -3x^2 +5

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

Answer:

[tex](a)\ x + 4 = \±\sqrt9[/tex] ---- [tex]x =\{-7,- 1\}[/tex]

[tex](b)\ x - 4 = \±\sqrt9[/tex] ---- [tex]x = \{1,7\}[/tex]

[tex](c)\ x + 3 = \±\sqrt{16}[/tex] ----- [tex]x = \{-7,1\}[/tex]

[tex](d)\ x - 3 = \±\sqrt{16}[/tex] ---- [tex]x = \{-1,7\}[/tex]

Step-by-step explanation:

Given

The attached equations

Required

Match each with the solution

[tex](a)\ x + 4 = \±\sqrt9[/tex]

Take the square root of 9

[tex]x + 4 = \±3[/tex]

Solve for x

[tex]x =- 4 \±3[/tex]

Split

[tex]x =\{- 4 -3,- 4 +3\}[/tex]

[tex]x =\{-7,- 1\}[/tex]

[tex](b)\ x - 4 = \±\sqrt9[/tex]

Take the square root of 9

[tex]x - 4 = \±3[/tex]

Solve for x

[tex]x = 4 \±3[/tex]

Split

[tex]x = \{4 -3,4+3\}[/tex]

[tex]x = \{1,7\}[/tex]

[tex](c)\ x + 3 = \±\sqrt{16}[/tex]

Take the square root of 16

[tex]x + 3 = \±4[/tex]

Solve for x

[tex]x =- 3 \±4[/tex]

Split

[tex]x = \{-3-4,-3+4\}[/tex]

[tex]x = \{-7,1\}[/tex]

[tex](d)\ x - 3 = \±\sqrt{16}[/tex]

Take the square root of 16

[tex]x - 3 = \±4[/tex]

Solve for x

[tex]x =3 \±4[/tex]

Split

[tex]x = \{3-4,3+4\}[/tex]

[tex]x = \{-1,7\}[/tex]

Answer: B

Step-by-step explanation:

The pair of equations that can be used to find x and y are:

x + y = 62

(1.02)x = 7

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

The form of the pair of equations would be:

hours worked last week + hours worked this week = total hours worked both weeks equation 1

(1 + percent increase/100) x hours worked last week = hours worked this week equation 2

x + y = 62 equation 1

(1 + 20/100) ×x = y

(1.02)x = 7 equation 2

The two equations can be solved using either of these three methods:

elimination method

substitution method

graph method

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complete question:

Jillian worked 62 hours this week and last week. She worked x hours last week and y hours this week. She worked 20% more hours this week than last week. What pair of equations can be used to find x and y?

Answer:

QPN and TSU

Step-by-step explanation:

They're both exterior angles and they are both alternate to each other.

Answer:

the answer to this question 2 cups

Step-by-step explanation:

2 cups is equal to a pint

Answer:

2.01) Multiply x by 3 and add 1 (x*3+1)

2.02) Add 7 to x (x+7)

Step-by-step explanation:

2.01:

2*3+1=7

4*3+1=13

6*3+1=19

8*3+1=25

2.02:

-2+7=5

0+7=7

2+7=9

Answer:

x = 1/3 , 5

Step-by-step explanation:

Factoriza y establece cada factor igual a cero.

Answer: you just need to do A=bh

Step-by-step explanation:

So you need to multiply the base by the height

Answer:

The answer is 39 cm squared

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

[tex]A = 3\sqrt{5}[/tex]

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

Answer:

34

Step-by-step explanation:

Answer:

1. y = -2x + 3

Step-by-step explanation:

Answer:

1/2 ab sinC =1/2(5.5×12)sin33 = 17.97

Step-by-step explanation:

Put the numbers in the equation ,a calculator will be better.

The area of the triangle is 18.0cm².

The sine rule for the area of the triangle is defined as the area of the triangle that can be calculated by the product of the half of the two sides of the triangle and the sine of the angle between the two sides.

Area= Δ= (1/2)*a*b*sinC

where a and b are the length of the side BC and AC respectively. And angle C is the angle between the sides BC and AC.

Here given in the figure the triangle has two sides of lengths 12cm, and 5.5cm.

The angle between the sides is 33°.

Then using the sine rule for the area of the triangle

The area of the triangle= (1/2)*a*b*sinC

=(1/2)*12*5.5*sin 33°

=17.97≅ 18.0 cm²

Therefore the area of the triangle is 18.0cm².

Learn more about the sine rule

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Answer:

no hay imagen lo siento

Step-by-step explanation:

Answer:

2 2/4

Step-by-step explanation:

Since 1/2 of tablespoon of coca can make 1 1/4 cup of milk...

1 1/4 + 1 1/4 = 2 2/4

Answer:

wdDW

Step-by-step explanation:

WDDwdWD

Step-by-step explanation:

11^2= 121

multiply by pi

121×3.14=379.94

then multiply the height

379.94×18=6,838.92

B  128 divide 8 = 16

took test

Answer:

128 / 8 = 16

Step-by-step explanation:

Answer:

The perimeter is 25.

Step-by-step explanation:

Darling, I'm not always accurate but I hope this helps you with math!

Answer:

10

Step-by-step explanation:

It is 10 times as much

Answer:

Its A

Step-by-step explanation:

I got it right on Edge Test

The function that depicts town that is growing in size are  P = 1000 (1.08)^t and 1200 (1.185)^t

The standard exponential function is expressed as:

y = ab^x

The value of b will determine whether the towns are growing in size or not, For instance;

If b > 1 then the town is growing, else it is declining

From the given exponential functions, the function that depicts town that are growing in size are  P = 1000 (1.08)^t and 1200 (1.185)^t

Learn more on exponential function here; https://brainly.com/question/12940982

Answer:

113.1 cm²

Step-by-step explanation:

we are given the diameter of the circle (length is 12 cm), and the formula for the area of the circle, which is πr², where r is the radius

so first, we need to find the radius

the length of the radius is half the length of the diameter

so that means that r=d/2

r=d/2

r=12/2

r=6

therefore the length of the radius is 6

now square 6, which is the same as multiplying it by itself

6²=36

now, multiply the radius squared by π, which is often substituted for as 3.14 or 22/7  

so if we were to do 22/7 for instance,

36*22/7≈113.14

round that to 113.1

there's your answer :)

Hope this helps!