The 3rd one please!
I’ll mark you the brainliest!!!!

Answer:

See below

Step-by-step explanation:

"Like terms" are terms with the same variable or exponents.

You can add or subtract these just like you would with regular numbers.

Examples:

2x + 4x = 6x

5xy + 7xy = 12xy

6\(x^{2}\) + 5\(x^{2}\) = 11\(x^{2}\)

Let me know if you need more examples or have any questions :)

Answer:

(a) (9 , 5)

(b) (-9 , -5)

Step-by-step explanation:

When you are reflecting over the y-axis, you are changing the sign of the x value.

When you are reflecting over the x-axis, you are changing the sign of the y value.

1) Reflect the point (-9 , 5) across the y-axis.

Based on the rule stated above, when you reflect over the y-axis, you are changing the x value sign:

(x , y) = (-9 , 5)

Reflected over the y-axis: (-9 , 5) becomes (9 , 5).

2) reflect the point (-9 , 5) across the x-axis.

Based on the rule stated above, when you reflect over the x-axis, you are changing the y-value sign:

(x , y) = (-9 , 5)

Reflected over the x-axis: (-9, 5) becomes (-9 , -5).

~

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Answer:

Reflected across the y-axis:  (9, 5)

Reflected across the x-axis:  (-9, -5)

Step-by-step explanation:

The mapping rule for a reflection across the y-axis is:

Therefore, point (-9, 5) reflected across the y-axis is (9, 5).

The mapping rule for a reflection across the x-axis is:

Therefore, point (-9, 5) reflected across the x-axis is (-9, -5).

Answer:

Step-by-step explanation:

we have the system

3x +y = -3

3x +y = 3

In this problem we have two different parallel lines

Remember that the solution of the system is the intersection point both lines

In this problem the lines don't intersect (are parallel)

therefore

the system has no solution NS

isolate the variable y in the first equation

y=-3x-3 -----> equation 1

isolate the variable y in the second equation

y=-3x+3 -----> equation 2

Solve the system of equations

equate equation 1 and equation 2

-3x-3=-3x+3

solve for x

-3x+3x=3+3

0=6 ------> is not true

that means

the system has no solution (NS)

Answer: Hi there! X = 7 would be your answer

Step-by-step explanation:

Simplify both sides of the equation.

2(3x − 6) = 3(x + 3)

(2) (3x) + (2) (−6)= (3) (x) + (3) (3)

6x + −12 = 3x + 9

6x − 12 = 3x + 9

Subtract 3x from both sides.

6x − 12−3x = 3x + 9−3x

3x − 12 = 9

Add 12 to both sides.

3x − 12+12 = 9+12

3x=21

Divide both sides by 3.

3x/3=21/3

x=7

I hope this helps!!

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hope it helps!:)

The final answers for the six trigonometric functions are:

(a) sin(0) = cos(0) = sqrt(2)/2

(b) cos(0) = sqrt(2)/2

(c) sec(0) = sqrt(2)

(d) csc(0) = sqrt(2)

(e) cot(0) = 1

If tan(0) = 0 and sin(0) > 0, we can use the definitions of the trigonometric functions to find the values of the other five trigonometric functions:

(a) Since sin(0) > 0, we know that 0 is in the first or second quadrant (where sine is positive). Since tan(0) = 0, we know that 0 is an angle where the sine and cosine are equal (i.e. a 45-degree angle). Therefore, sin(0) = cos(0) = sqrt(2)/2.

(b) Using the same reasoning as above, we know that cos(0) = sqrt(2)/2.

(c) Applying the definition of secant, we have:

sec(0) = 1/cos(0) = 1/(sqrt(2)/2) = 2/sqrt(2) = sqrt(2)

(d) Applying the definition of cosecant, we have:

csc(0) = 1/sin(0) = 1/(sqrt(2)/2) = 2/sqrt(2) = sqrt(2)

(e) Applying the definition of cotangent, we have:

cot(0) = cos(0)/sin(0) = (sqrt(2)/2)/(sqrt(2)/2) = 1

Therefore, the final answers for the six trigonometric functions are:

(a) sin(0) = cos(0) = sqrt(2)/2

(b) cos(0) = sqrt(2)/2

(c) sec(0) = sqrt(2)

(d) csc(0) = sqrt(2)

(e) cot(0) = 1

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Answer:

Super Man

Have a great day!

Answer:3.75

Step-by-step explanation:

Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

2 hours will pass before they meet.

"Information available from the question"

In the question:

Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.

Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.

Now, According to the question:

Total distance = 20mi

Aaron starts riding a bike at a rate of  = 3mi/h

Zhang rides his bike toward Aaron along the same road at  = 2mi/h

Let y be the number of hours for them to meet.

The expression is given as

3y + 2y = 20

solving for y, we have

5y = 20

y = 20/5

y = 4hrs

Therefore, 2 hours will pass before they meet.

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The upper limit for the 89% confidence interval of the average profit per unit, based on the 1000 simulation trials, is estimated to be $6.98.

To find the upper limit for an 89% confidence interval for the average profit per unit, we can use the following formula:

Upper limit = sample mean + margin of error

The margin of error can be calculated using the following formula:

Margin of error = z* (standard deviation/ sqrt(n))

where z* is the z-score associated with the level of confidence we are interested in, n is the sample size, and the standard deviation is the sample standard deviation.

To find the z-score associated with an 89% confidence interval, we can use a standard normal distribution table or a calculator. The z-score for an 89% confidence interval is approximately 1.645.

Substituting the given values in the formula, we get:

Margin of error = 1.645 * (1.91 / sqrt(1000)) = 0.099

Now, we can calculate the upper limit as:

Upper limit = sample mean + margin of error = 6.48 + 0.099 = 6.579

Therefore, the upper limit for an 89% confidence interval for the average profit per unit is $6.579.

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0.0015 in scientific notation

= 1.5 × 10-3

1.5×10^3

hope i helped!

Answer: The actual height of the house is 17 feet.

Step-by-step explanation:

The actual height of the house can be found by multiplying the model's height (4.25 inches) by the scale factor.

4.25 inches * 4 (3 feet/1/4 inch) = 17 feet.

So the actual height of the house is 17 feet.

Answer:

negative correlation

Step-by-step explanation:

If you were to draw a line of best fit (a line that best expresses the relationship between a group of points), it would have a negative slope.

We have drawn scatter diagram and given an example of a data point that affects the appropriateness of using a linear regression model and  of a school that is cost effective and rated highly by parents.

The scatter diagram plots two sets of numerical data, one on each axis, to see if there is a link between them. The points will fall along a line or curve if the variables are correlated.

We are using graphing calculator to show the points to make scatter diagram

If a linear model is adequate, the histogram should be about normal, and the residuals scatterplot should have random scatter. The linear model is not adequate if we detect a curved connection in the residual plot.

Parents can help with events and activities at school, as well as communicate with instructors. They can also be active at home in a variety of ways, including as assisting their children with homework and other obligations, and engaging in talks about educational principles and attitudes.

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x > 6

Hi there !

1/2 x + ²⁾3 < ²⁾2x - ²⁾6

x + 6 < 4x - 12

6 + 12 < 4x - x

18 < 3x

3x > 18

x > 18/3

x > 6

Good luck !

Answer:

This suggests that as the distance of a house from the ocean increases by 1 km, the number of people willing to buy it decreases by 0.231.

What is regression line?

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Answer:

maybe the answers are: no, yes, yes.

Step-by-step explanation:

not too sure but I hope this helps and is right :)

i am incredibly sorry if my answers are wrong!

Answer:

A. No    B. Yes    C. Yes

Step-by-step explanation:

A. No

B. Yes

C. Yes

any point on the line formed by the given vectors, for example, the midpoint of the line segment ba→.

x₀ = (ba→.x + bc→.x) / 2

y₀ = (ba→.y + bc→.y) / 2

ba→ and bc→, we first need to determine the bisector vector. Let's assume the slope-intercept form of the line is y = mx + b, where m is the slope and b is the y-intercept.

Find the unit vectors for the given vectors:

ba^→ = ba→ / |ba→|

bc^→ = bc→ / |bc→|

Find the sum of the unit vectors:

bisector^→ = ba^→ + bc^→

Normalize the bisector vector:

bisector^→ = bisector^→ / |bisector^→|

Find the slope of the bisector line:

m = bisector^→.y / bisector^→.x (slope = y-component / x-component)

Find the point (x₀, y₀) through which the bisector line passes:

Choose any point on the line formed by the given vectors, for example, the midpoint of the line segment ba→.

x₀ = (ba→.x + bc→.x) / 2

y₀ = (ba→.y + bc→.y) / 2

Substitute the values of m and (x₀, y₀) into the slope-intercept form:

y = m(x - x₀) + y₀

Now you have the equation of the line that bisects the angle formed by ba→ and bc→ in slope-intercept form.

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a) To determine if b is in a1, a2, a3​, we need more information about the vectors a1, a2, and a3. The number of vectors in a1, a2, a3​ is also unspecified.

b) It is unclear whether b is in the set w, and the number of vectors in w is not provided.

c) To show that a1 is in w, we need additional information or conditions beyond row operations.

a) Without specific information about the vectors a1, a2, and a3, we cannot determine if b is in a1, a2, or a3​. The question does not provide any details regarding the values or properties of these vectors. Additionally, the number of vectors in a1, a2, and a3​ is not specified. Therefore, it is not possible to answer these questions without additional information.

b) The question does not provide enough information to determine whether b is in the set w. The set w could represent a subspace or a collection of vectors, but its characteristics are unknown. Similarly, the number of vectors in w is not given, making it impossible to ascertain whether b is a member of w.

c) To demonstrate that a1 is in w, we require more information or conditions beyond row operations. The question does not specify the nature of w or provide any criteria for inclusion. Without this information, it is not possible to show that a1 is in w. Additional details or constraints are needed to address this part of the question accurately.

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The value of x from the similar triangles is x = 9 and the length of CE of the triangle ACE is CE = 35

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔACE

Let the second triangle be represented as ΔBDC

The measure of side AB = 6

The measure of side BC = x - 5

The measure of side AC = x + 1

The measure of side CD = 14

The measure of side DE = 2x + 3

The measure of side CE = 2x + 17

Now , ΔACE and ΔBDC are similar

So , the corresponding sides of similar triangles are in the same ratio

Substituting the values in the equation , we get

AC / CE = BD / CD

( x + 1 ) / ( 2x + 17 ) = ( x - 5 ) / 14

On simplifying the equation , we get

14x + 14 = 2x² - 10x + 17x - 85

Subtracting 14x + 14 on both sides of the equation , we get

2x² - 7x - 99 = 0

On factorizing the equation , we get

x = 9 or x = -11/2

Substituting the value of x in the equation , we get

The length of line segment CE = 2x + 17

The length of line segment CE = 2 ( 9 ) + 17

The length of line segment CE = 35

Hence , the length of CE is 35

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Explanation:

Given ΔTOP is rotated -180° about the origin.

Identify the coordinates of the original triangle:

Rule for -180° rotation: (x, y) → (-x, -y)

So after rotation coordinates:

The points are

Rotate 180° about origin (x,y)—»(-x,y)

So

Graph attached

Answer:

x = 8

y = 36

Step-by-step explanation:

The triangle shown in the image is an isosceles triangle.

We can find the value of x using the above mentioned information:

∠B = ∠A

5x = 40 divide both sides by 5

x = 8

The sum of interior angles in a triangle is equal to 180°.

Since ∠B and ∠C are both 40°:

40 + 40 + 3y - 8 = 180 add/subtract like terms

72 + 3y = 180 subtract 73 from both sides

3y = 108 divide both sides by 3

y = 36

Answer:

26 m

Step-by-step explanation:

Use pythag theorem

24^2 + 10^2  = d^2

d= 26 m

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

Answer:

648 floors.

Step-by-step explanation:

Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !