Work out the equation of the line which passes through the point (-1,2)
and is parallel to the line y = x + 4.

Answer:

4

Step-by-step explanation:

f(x) is just the y value for a given value of x

When x = -2     y = 4

f(-2) = 4

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The diagonals of a rhombus cross at right angles.

  2x +70 = 90

  2x = 20 . . . . . . . subtract 70

  x = 10 . . . . . . . . . divide by 2

Answer:

a = 117.3 cm²

Step-by-step explanation:

a = (1/2)∅r²

a = (1/2)(7π/6)(8²)

a = (1/2)(7 * 3.14159/6)(64)

a = 117.3 cm²

Answer:

Step-by-step explanation:

Side, side angle (SSA)  theorem shows that △NTM ≅△SMT.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the given figure ΔNTM and ΔSMT share a common side MT.

Now, line segment SQ is congruent to line segment NQ and similarly line segment MQ and NQ, and hence line segment SM and NT are congruent and the angle formed by ∠STM and ∠NMT are also measure the same. because of the similar intersections of te line segments.

Therefore ΔNTM and ΔSMT are congruent by side, side angle theorem.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ5

87 Step-by-step explanation:

Ill answer when i get the result

Answer:

the probablity of anything is

(Number of desired outcomes) / (Number of total outcomes)

Step-by-step explanation:

Answer:

I'd assume 1/4

Step-by-step explanation:

there are only 4 different suits to pick from

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs into cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

Answer:

0

Step-by-step explanation: Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20y' to each side of the equation.

15x + 20y + -20y = 0 + -20y

Combine like terms: 20y + -20y = 0

15x + 0 = 0 + -20y

15x = 0 + -20y

Remove the zero:

15x = -20y

Divide each side by '15'.

x = -1.333333333y

Simplifying

x = -1.333333333y

Please mark me branliest!

**Answer**

16 if you want exact, 20 if you want a little over.

**Explanation**

So check this... it's $50 per student that attends the camp, right?

(Nod if you're with me.)

The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800

5 dozen is the same as 50 donuts.

You multiply to get the total amount of donuts he buys in the total days (16).

Each 10 donuts costs 10 dollars.

If the dude buys 800 donuts it cost him $800.

And it costs 50 dollars for someone to go to camp.

So you divide 800/50 = 16 students

Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.

You are very welcome!!

Answer:

N is the midpoint of MO

Step-by-step explanation:

Given

See attachment for triangles

Required

Additional information to prove [tex]MLN \cong OPN[/tex]

From the attachment, we already have:

[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]

The additional information that must be true for [tex]MLN \cong OPN[/tex]  to be true is: N is the midpoint of MO

Because this piece of information proves that:

[tex]MN \simeq ON[/tex]

Which in other words makes [tex]MLN \cong OPN[/tex]

Answer:

120

Step-by-step explanation:

First find the markup

80 * 50%

80*.5

40

Add this to the original cost

80+40

120

The price will now be 120

Answer:

[tex]r = 15 \times 5 \\ r = 75[/tex]

Answer:

75

Step-by-step explanation:

5 = r/15

what we want to do is solve for r

to do this we want to isolate the variable (r) using inverse operations

5 = r / 15

so to solve for r we want to get rid of the 15

r is being divided by 15

the inverse of division is multiplication

so to get rid of the 15 we multiply by 15

but remember whatever we do to one side we must do to the other side, so we multiply each side by 15

15 * 5 = 75

r / 15 * 15 = r

we're left with r = 75

we can then check are work by substituting 75 for r and then see if the equation is true

5 = r/15

* substitute 75 for r *

5 = 75/15

75 / 15 = 5

we're left with 5 = 5 which is true

Answer:

21.2

Step-by-step explanation:

BODMAS : First bracket, then Division then multiplication.

[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]

Answer:

i don't get it

Step-by-step explanation:

Answer: An orthocenter is the intersection of three: Altitudes in a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.

Orthocenter--

An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In  a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.

Answer:

B=17

A=16

Step-by-step explanation:

It is my friend OK if you want say again and I can ans

Answer:

Ungrouped

Step-by-step explanation:

Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :

Ages of 10 randomly chosen children :

5, 4, 2, 2, 4, 5, 7, 6, 3, 4

Answer:

0.26 or C

Step-by-step explanation:

Basically you would do the sophomores that attended the jazz band concert (35) and divide that by the total number of students. (137) - - 35 ➗ 137 = .2554744526 round that to .26 or 0.26

The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.

Probability exists about calculating or estimating how possible or 'probable' something exists to occur.

Let A be the event that a person exists a sophomore.

B be the event that a person attended volleyball game.

A∩B denote the event that a person exists a sophomore and attend volleyball game.

P be the probability of an event.

We have to estimate the value of P(A∩B),

Given: A∩B = 42

P(A∩B) = 42/137 = 0.3065 approximately equal to 0.31

P(A∩B) = 0.31.

The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.

Therefore, the correct answer is option D. 0.31.

To learn more about probability refer to:

https://brainly.com/question/12675996

#SPJ2

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse [tex]f^{-1}(x)[/tex]

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

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

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞

The domain of a function are the independent values of the function for Which it exists.

Given the function f(x) = 3x + 2

Find its inverse

y = 3x + 2

Replace x with y

x = 3y + 2

Make y the subject of the formula:

3y = x - 2
y = (x-2)/3

The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
Learn more on domain here: https://brainly.com/question/26098895

Answer:

Let the length of the 2 pieces = L and S

Let L = the longer piece and S = the shorter piece

A wire 26 cm is cut into 2 pieces.  This equates to......L + S = 26

The longer piece is 6 cm longer than the shorter piece.  This equates to.....L = 6 + S.  Substitute this equation into the first one, you get

L + S = 26

6 + S + S = 26

2S = 20

S = 20/2 = 10 cm

L = 6 + S = 6 + 10 = 16 cm

To confirm, L + S = 26

16 + 10 = 26!

Hope the above was helpful.

Step-by-step explanation:

Answer:

C. Add 9 to both sides of the equation.

Step-by-step explanation:

Given

[tex]x^2 - 6x = 15[/tex]

Required

Complete the squares

We have:

[tex]x^2 - 6x = 15[/tex]

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

Take the coefficient of -6 i.e. -3

Square it (-3)^2 = 9

Add 9 to both sides

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

Hence, C is correct

Answer:

a person's height

Step-by-step explanation:

thing that you can count

Answer:

a person's height helpful answer

Step-by-step explanation:

the domain = {-3, -1, 2}

_____

The domain, as a set in increasing order, will be {-3, -1, 2}.

The domain means all the possible values of x and the range means all the possible values of y.

The set of ordered pairs shown below.

{(-3, 2), (-1, 0), (-3, 5), (2, -3)}

Then the domain, as a set in increasing order, will be

⇒ {-3, -1, 2}

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

Answer:

19 - 28/n

n=7

19 - 28/7

19 - 4

=15

Answer:

37.71 hours

Step-by-step explanation:

Saphire

1garden/88hours

Varsha

1garden/ 66 hours

Together

1/88 + 1/66 = x

use 264 as common denominator

3/264 + 4/264 = 7/264

Together they can do 7 gardens in 264 hours

264/7 = 37.71 hours for 1 garden

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

Sometimes Brainly double types numbers

If you meant 6 hours and 8 hours

1/6 + 1/8 = x

4/24 + 3/24 = 7/24

24/7 = 3.43 hours

Answer:

9/7 + 3/14b  - 9/14c

Step-by-step explanation:

See image below:)

Answer:

D) 20

Step-by-step explanation:

4x - 10  and x together equal 90

Set your formula up as

90 = 4x - 10 + x

90 + 10 = 4x + x

100 = 5x

100 / 5 = x

20 = x

Answer:

He will have 14 streamers

Answer:

2

Step-by-step explanation:

so u multiply it by 2846 take away the 8, 4 and 6 and all ur left is with 2