Select the correct answer from each drop-down menu.A line passes through point (3, 7) and has a slope of 3/4.The equation of the line is _________.If point A(x, 5) lies on the line, the value of x is____. ( options for x are 33 & 1/3)

Solving for k:

f(3)=95

The amount of cars in 10 years will be 205,819,671

Given:-

To find the simplified form.

So now we multiply and find the simplified form. so we get,

So the simplified form is,

Since the increment of number of lights is constant we can model the number of lights with a linear equation; we know that the line with slope (or rate of change) m and y-intercept b is given by:

In this case, the slope of the line will be 2 and the y-intercept is 130; hence the number of lights in any week is given by:

Now that we have an expression we can plug the week we want to know to determine the number of lights, since we want to know the number of lights at the end of week 40 we have that x=40; then:

Therefore, at the end of week forty there will be 210 lights.

Answer:

C. 117 sqft

Step-by-step explanation:

Square:

A square has side s.

It's are is given by:

A = s²

In this question:

A = s² = 52.

Larger rug:

Sides 1.5 times the smaller rug.

So

A = (1.5s)² = (1.5)²*s² = 2.25s²

Since s² = 52.

A = 2.25s² = 2.25*52 = 117

The answer is C. 117 sqft

Slope m of 2x + y = 10

Then slope m = 2

We can write 177 as the product of 2 factors:

We can find the other factor by dividing 177 by 3:

The result is 59, that is a prime number.

So the 2 factors of 177 are 3 and 59.

The division is done by:

Answer:

The distance between these two points is of 15.65 units.

Step-by-step explanation:

Distance between two points:

Suppose we have two points, (x1,y1) and (x2,y2).

The distance between them is given by:

In this question:

Points (-3,5) and (4,-9)

The distance is:

The distance between these two points is of 15.65 units.

Let:

x = number of hours babysitting

So far she has saved $400, and she needs to save at least $1100

Therefore, the inequality which represents this situation is:

In case you need to solve for x:

Therefore, Alexis needs to work at least 58.33 hours in order to buy her new laptop

Given: A scatter plot as shown in the image

To Determine: The image that best represent the model function fitted for the given

Solution

The 'line of best fit' is a line that goes roughly through the middle of all the scatter points on a graph.

Let us examine each of the options

From the above the best model function fitted for the given data is

the given expression is

-1/2y = 1/2x +5

multiply the above equation by -2

-2(-1/2y) = -2(1/2x +5)

y = - x - 10 .....(1)

and the other equation is y = 2x + 2 .......(2)

in equation (1) we will put x = 0 , 1 , 2 and find the value of y

when x = 0 then y = -0 - 10 = -10 so point is (0,-10)

x =1 , y = -1 - 10 = -11 so point is (1, -11)

x = 2 , y = -2 - 10 = -12 , so point is (2, -12)

now you will draw the point graph and draw the line by joining them.

in equation (2) put x = 0 , 1 , 2

when x = 0 , y = 2(0) + 2 = 0 + 2 = 2 so point is (0, 2)

x = 1, y = 2(1) + 2 = 4, so the point is (1, 4)

x =2 , y = 2(2) +2 = 6 so the point is (2, 6)

now you will draw the point graph and draw the line by joining them.

Now you will get two lines

after drawing of these lines you will get the intersection point of these lines.

and the intersection point will be (-4, - 6)

where x is the minutes

we can solve x

so your call lasted 32 minutes

To find the radius od the circle using (X+3)²+(y-7)²=11

(x-a)²+(y-b)²=r² is the equation for a circle in a Cartesian plane

the center is given by c= (a,b) so the center would be (-3,7)

and to find the r use

11 =r²

√11 = r

3.31 = r

Given:

mean = 85

Standard deviation = 12

Assuming that the data is normally distributed, about 68% of the data would lie one standard deviation from the mean.

Using the z-score formula:

set z= 1:

set z = -1:

Hence, the majority of the data would lie between 73 to 97

Answer:

73 to 97 (Option B)

It is given that,

CASE-1 Assuming that 'c' lies on right side of z=0 line.

Simplify the expression as,

CASE-2 Assuming that 'c' lies on the left side of z=0 line.

Then,

Thus, the value of the variable 'c' is 0.34 approximately.

Given:

y represents the number of players left after x rounds.

Required:

We need to find the number of players who will be left after5 rounds.

Explanation:

Substitute x =5 in the equation to find the number of players who will be left after5 rounds.

Final answer:

4 players will be left after the 5th round.

It's important to knwo taht

PX=PY statements must be true, So statement I is correct.

A triangle is a three-sided polygon that consists of three edges and three vertices.

In the figure, point P is the circumcenter of triangle JKL

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect.

The circumcenter is formed by drawing the perpendicular bisectors of all the sides of the triangle using a compass. Extending all the perpendicular bisectors to meet at a point.

The intersection point  is the circumcenter.

As the angles are same at X and Y are ninety degrees and has line through the circumcenter.

The lines PX and PY are equal.

Hence PX=PY statements must be true, So statement I is correct.

To learn more on Triangles click:

https://brainly.com/question/2773823

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Derivate the equation:

Now replace the numbers of the intervals:

1:

8.28

2:

4.56

Find the average:

To find the length of EF we will use the formula for finding the distance between two points.

From the points E and F:

We can notice the triangle on the square, hypotenuse is 8m and the base is half of the lengt of the square we will name it x

then

we can use pythagoras to solve

where a and b aer sides of the triangle and h the hypotenuse

replacing

the length of x is half of the side of the square then the side of the square is

each side of the square is 8v2 meters

Area

we use formula of the area

area of the square is 128 square meters

Perimeter

we use formula of the perimeter

perimeter of the square is 32v2 meters

SOLUTION:

Step 1 :

If x is a binomial random variable, compute p( x ) for the following:

a) n = 4, x = 1 , p = 0.6

Step 2:

Step 3:

CONCLUSION:

The final answer is:

Answer:

The length of ED is;

Explanation:

Given the figure in the attached image.

Chord CD bisects chord AB at E.

So;

Also applying the Bisecting chord formula;

Given;

substituting the given values;

Therefore, the length of ED is;

Solution

Given that

Let's draw the two diagrams for angles A and B

Hence,

Therefore,

Note that 10 dimes make a dollar, and

4 quarters make a dollar

If Cooper has 4 dimes and 7 quarters, then his total amount of money is;

(b) if he has x dimes and y quarters, then his total money would be;

Solution:

The matrix of the type 5x5 is a matrix with 5 rows and 5 columns.

Then, the matrix is:

The matrix above is of type 5x5.

We have the next information

d=r*t

where

t=time=7 hours

r=rate=55 miles/hr

we substitute the values

Given:

The system of equations is,

The objective is to solve the equations using the elimination method.

Explanation:

Consider the equations (1) and (2).

Now, consider the equations (2) and (3).

On multiplying the equation (4) with (-5),

To find x :

On solving the equations (5) and (6),

To find z :

Substitute the value of x in equation (6),

To find y :

Now, substitute the values of x and z in equation (2).

Hence, the value of x is 1, y is -1 and z is 2.

Solution

Number teachers = 11

Number of students = 46

Then we want to form a committee of 2 teachers and 4 students

From the given information, we can note that angle1 and angle2 are corresponding angles with respect to line u. Angle2 and angle9 are alternate exterior angles with respect to the right vertical line and angle5 and angle7 are alternate interior angles with respect to line v.

Therefore, the theorems which justify the answer are, respectively: Corresponding angles theorem, Alternater exterior angles theorem and Alternate Interior angles theorem.