A function is graphed as a line. It is known that the points (-6, 10) and (-2, 12) lie on this line. Write the formula of the function in f(x) = mx + = b form.​

Answer:

54 is the hypotenuse due to being the longer side(s).
54 ^2=2916 / 51^2=2601 / 22^2=484 = 2916=2601+484 // 22^2+51^2>54^2

Option B.

Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

Answer:

$66.40 a day

Step-by-step explanation:

divide 332 by 5

Answer:

2324

Step-by-step explanation:

Times 332 by 7

Answer:

Commutative property of addition

The commutative property is when parts of an equation can be moved around, but give the same answer.

Step-by-step explanation:

Answer:

Commutative property of addition

The commutative property is when parts of an equation can be moved around, but give the same answer.

Step-by-step explanation:

The correct statement describing step 3 is:

C. Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Correct option is C.

In the given construction,

step 1 involves drawing an arc from point Q to intersect the sides PQ and QR at points A and B, respectively.

Step 2 involves drawing a segment NT and using the same width of the compass to draw an arc from point N to intersect the segment NT at point X.

To continue the construction and construct an angle MNT congruent to angle PQR,

step 3 requires adjusting the width of the compass to BQ. This means the compass should be set to the distance between points B and Q. Then, from point X, an arc is drawn that intersects the arc drawn from N at a point Y.

By completing this step, the construction creates an angle MNT that is congruent to the given angle PQR.

Correct option is C.

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Answer:

w + 2

Step-by-step explanation:

Niki's height = w in

Desmond height = w + 2

Answer:

w+2

Step-by-step explanation:

Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.

Answer:

A

Step-by-step explanation:

I think

The expression that represents the profit Justin made is 1.31c + 1.66m + 1.6b ( option C)

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

Justin earned $1.50c selling cookies but he spent $0.19c. Therefore the profit on cookies = $(1.5-0.19)c. = $1.31c

He earned $2.25m by selling muffins and spent $0.59m on the ingredients. Therefore the profit He made on muffins = $(2.25-0.59) = $1.66m

He earned $1.90b selling brownies and he spent $0.30b on ingredients. The profit he made on brownies = $1.90-$0.30 = $1.60b

Therefore the expression for the total profit = $(1.31c+ 1.66m+1.6b)

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Answer: C

Step-by-step explanation:

Since we are given velocity, which is the first derivative, we have to fidn the antiderivative of velocity to get position.

∫-2sint dt

s(t)=2cos(t)+C

Since we are given s(0)=0, we can plug in the values to find C, constant.

0=2cos(0)+C

0=2(1)+C

0=2+C

C=-2

Now that we know our constant, we can find out position.

s(t)=2cos(t)-2

Answer:

Sorry this is not an answer but it wouldn't let me comment go you friend me or something so we can work on calculus together

Step-by-step explanation:

Answer:

I'm not sure what X is but I am pretty sure the PAW angle is the same as -1x+43. Dont count me on it though...

Step-by-step explanation:

Answer:

4^-3*(1/4)^2

(1/64)*(1/16)

=(1/1024)

Answer:

0.00025

Step-by-step explanation:

hope it'll help I'll ask . if you feel that it's not that correct please comment so that I can ask my sister who I'm sure she'll help although she's far good day.

Answer:

true

Step-by-step explanation:

Answer: false

Step-by-step explanation:

SOLUTION

To find x, equate both diagonals FH and EG as they are equal

To find EG

EG = 30

Since lenght IE and IH are equal (15) , triangle IHE is an iscoceless triangle

with equal base angles

x+x+54=180

2x+54=180

2x=180-54

2x=126

x=126/2

x=63degrees.

Using the concepts of equilateral triangle, we got that  2.113 is the side length of the largest square that can be inscribed in the space inside the square and outside of the triangles.

Firstly we find the side length of equilateral triangle , G is the midpoint of side FE.

Let GE=x, since G is the midpoint due to that DE=GB.

So, using basic trigonometry=DG^GB=x√3.

Thus DB=2x√3.

Since DB is the diagonal of ABCD, it has length 10√2 Then we can set up the equation 2x√3=10√2. So the side length of the triangle is

2x=(10√2)/√3.

Now look at the diagonal AC it is made up of twice the diagonal of the small square plus the side length of the triangle. Let the side length of the small square be y:

Let the side length of the small square be y:

AC=y√2 + [(10√2)/√3]+y√2=10√2.

Solving  for y:

=>y√2+y√2 + (10√2√3)/3=10√2

=>y√2+y√2 + (10√6)/3=10√2

=> [3y√2+3y√2 + (10√6)] /3=10√2

=>6y√2+10√6=30√2

=>6y√2 = 30√2-10√6

=>y√2 = (30√2-10√6)/6

=>y = (30√2-10√6)/6√2

=>y = (60-20√3)/12

=>y= 5(3−√3)3  or 2.113

Hence, inside a square with side length 10, two congruent equilateral triangles are drawn such that they share one side and each has one vertex on a vertex of the square. the side length of the largest square that can be inscribed in the space inside the square and outside of the triangles is to be 2.113.

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Answer:

I Didnt mean to answer sorry i cant help

I dont know

How Go back Srry Again

Let L be the line in R^3 that consists of all scalar multiples of the vector `[3, 4, 5]`. Find the reflection of the vector v = `[1, 2, 3]` in the line L. A reflection is a transformation that takes an object and reflects it over a line. This transformation is called an isometry because the distance between points on the object is preserved.

Let's call the point of intersection between the line and the plane `P`. To find the reflection of `v` in the line `L`, we need to find the point `R` on `L` that is equidistant from `v` and `P`. We can do this by finding the projection of `v` onto `L`, and then doubling the distance between `v` and the projection. The projection of `v` onto `L` is given by:


where `u` is a unit vector in the direction of `L`. Since `L` consists of all scalar multiples of `[3, 4, 5]`, we can take `u` to be:

\(u = (1/√(3² + 4² + 5²))[3, 4, 5] = (1/√50)[3, 4, 5]\)

Then, we have:

Now, we need to double the distance between `v` and `projL(v)` to find `R`. We have:

R = v + 2(projL(v) - v) = [1, 2, 3] + 2([(29/50)3, (29/50)4, (29/50)5] - [1, 2, 3]) = [(58/25) - 1, (58/25) - 2, (58/25) - 3] = [(33/25), (8/25), (-7/25)]

Therefore, the reflection of `v` in the line `L` is `[33/25, 8/25, -7/25]`.

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Answer:

see explanation

Step-by-step explanation:

He wants to buy at least 4 snacks , that is can be more than 4 , so

x + y ≥ 4

He only has $20 , thus total cost must be less than or equal to $20 , so

3x + 2y ≤ 20

Answer:

c) 4x + 15

Step-by-step explanation:

4(6-2x) - 3 (3-4x) is the given equation

The first thing that needs to be done is to distribute

24-8x - 9+12x    (Remember a negative + negative = positive)

The second step is combing like terms.

24-9=15     -8x+12x=4x

The last step is making the equation.

4x + 15

Answer:

\(\text{D. The terms may be combined.}\)

Step-by-step explanation:

Recall that \(\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\). Using this, we can simplify and combine the two terms:

\(6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}\). Therefore, the terms may be combined.

Answer:

x=0

Isolate the variable by dividing each side by factors that do not contain the variable.

Solving a system of equations, we can see that the rational number is 7/15.

Let's define the variables:

x = numerator.

y = denominator.

First, we know that the denominator is greater than the numerator by 8, so:

y = x+ 8.

Then we also can write:

(x + 17)/(y + 1) = 3/2

So we have a system of equations, we can rewrite the second equation to get:

(x + 17) = (3/2)*(y + 1)

x + 17 = (3/2)*y + 3/2

Now we can replace the first equation here, we will get:

x + 17 = (3/2)*(x + 8) + 3/2

x + 17 = (3/2)*x + 12 + 3/2

17 - 12 - 3/2 = (3/2)*x - x

5 - 3/2 = (1/2)*x

2*(5 - 3/2) = x

10 - 3 = x

7 = x

then the denominator is:

y = x + 8 = 7 + 8 = 15

The rational number is 7/15.

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Answer:

Step-by-step explanation:

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

The Value of n(A U B) is equal to y.

If A and B are two disjoint sets, it means that they have no elements in common. In other words, their intersection is an empty set, denoted as A ∩ B = ∅.

We ahve,

n(A) = y, which represents the number of elements in set A, we can find n(A U B), the number of elements in the union of sets A and B.

The union of two sets includes all the elements that are in either set A or set B (or both).

Since A and B are disjoint, we know that all elements of set A are exclusive to set A and do not belong to set B.

Therefore, n(A U B) would be the sum of the number of elements in set A (n(A) = y) and the number of elements in set B (since they are disjoint, n(B) = 0):

n(A U B) = n(A) + n(B) = y + 0 = y.

Therefore, n(A U B) is equal to y.

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Saleem scored 50 on the next test, and his average dropped to 58.

To find Saleem's grade on the next test, we can use the concept of weighted averages.

Since Saleem has an average of 60 in 4 subjects, we can calculate the total marks he has obtained so far. Let's denote the total marks in the 4 subjects as "T."

Average = Total marks / Number of subjects

60 = T / 4

To find T, multiply both sides by 4:

T = 60 * 4

T = 240

Now, Saleem's total marks after attempting the next test would be (240 + X), where X is the score he gets on the next test.

The new average after attempting the next test is 58.

Average = Total marks / (Number of subjects + 1)

58 = (240 + X) / 5

To find X, first multiply both sides by 5:

58 * 5 = 240 + X

290 = 240 + X

Now, isolate X:

X = 290 - 240

X = 50

So, Saleem scored 50 on the next test.

To summarize, Saleem scored 50 on the next test, and his average dropped to 58.

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Answer:

2a +7

Step-by-step explanation:

ok

i mean we need an answer to the equation to get the value of a, or vise versa

The equation of the least squares regression line for the data set is: A. y = .81x + 12.25

A regression line simply refers to a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line refers to a line which best fits a set of data.

In this scenario, x₁ would be plotted on the x-axis of the scatter plot while y₁ would be plotted on the y-axis of the scatter plot.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:

y = 0.81x + 12.25

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