3
What is the approximate
distance between points
(-7, 2) and (11,-5)?
a) 18.36 units
b) 19.31 units
c) 18.25 units
d) 10.31 units
e) 8.06 units

Answer:

yes

Step-by-step explanation:

Since there is one value of y for every value of x, this relation is a function.

The relation is a function.

Answer:

There are 1,890 seats in the hall

Step-by-step explanation:

The number of seats in the first row = 20 seats

The number of rows in the hall = 35 rows

The number of additional seat per row = 2 Seat

Therefore, the sequence of seats in the hall is an arithmetic sequence with the first term, a = 25, the common difference, d = 2, and the number of terms, n = 35

The formula for finding the sum of n-terms of an arithmetic progression, Sₙ is given as follows;

Sₙ = n/2 × [2·a + (n  - 1)·d]

Plugging in the values, we get;

Sₙ = 35/2 × [2 × 25 + (35  - 1)×2] = 1890 seats

Therefore, there are 1,890 seats in the hall.

Answer:

hi my name is ais

Step-by-step explanation:

1624#I don't care

Answer:

x = -7/9

Step-by-step explanation:

First, subtract 8 from both sides of the equation.

13x = 4x - 7

Next, subtract 4x from both sides of the equation.

9x=-7

Divide both sides of the equation by the same term

x = -7/9

Answer:

the lower limit of first class interval is 15.because ina class intervel the 1st no.is called lower limit so 15.

Answer:

x= 4+y and the next answer is y= -4x+1

Step-by-step explanation:

First one solve for x and the other one I solved for y

Answer:

x=7, SU=63, TU=63, SU=126

Step-by-step explanation:

The mid point of SU is T meaning, ST=TU

we find value of x as 7.

replace x by 7 and find the value of given lines.

Answer:

5x=9 and that is the answer

Answer:

9

Step-by-step explanation:

let us suppose that

(-4,-6) is (x1,y1)

and (5, -6) is (x2,y2)

we know that

distance between two points = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\[/tex]

                                                 [tex]=\sqrt{(5-(-4))^{2} + (-6-(-6))^{2} } \\= \sqrt{9^{2}+0 } \\= 9 units[/tex]

Answer:

5

Step-by-step explanation:

this is in slope intercept form or y=mx+b

m represents slope and m is 5

Answer: [tex]m = 5[/tex]

The slope of the line in this equation is 5.

y = mx + b

the m multiplied with x is the slope.

Answer:

As we know, if we add up the interior and exterior angles of one corner of a triangle, we always get 180. the exterior angle in question is equal to the sum of the other two angles in the triangle

Answer:

y = 2x + 15

Step-by-step explanation:

Let y represent the total amount paid by the teachers.

It is provided that the Dairy Queen charges a one time fee of $15 to deliver the treats to the school and each cone cost $2.

Let x represent the number of cones bought.

Then the equation that can be used to find the total cost of ice cream cones for ERHS students is:

y = 2x + 15

Answer:

The Answer would be The first ab

Step-by-step explanation:

Answer:A- direct variation function

Step-by-step explanation:

h(x) = [x] + 4 is in A. direct variation function as we increase the value of x the function h(x) will also increase and vice versa.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  h(x) = [x] + 4, as we increase the value of x the function h(x) will also increase and vice versa.

So,  h(x) = [x] + 4 is in direct variation.

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Answer:solve for y

y -1/2x ≥ 4

y ≥ 1/2x + 4

The y intercept is 4, and the slope is positive, so the only graph with that conditions is B.

Step-by-step explanation:

Answer:

5 oranges in 12 minutes

Step-by-step explanation:

[tex]125 \div 5 = 25[/tex]

[tex]25 \div 60 = 0.41[/tex]

[tex]0.41 \times 12 = 5[/tex]

what i did here was I took the original amount (125), divided it by 5 which is 25 oranges per hour

1 hr = 60 mins

then I divided 25 oranges by 60 mins, then times it by 12 to get 5 around 5 oranges in 12 minutes.

Answer:

[tex]\boxed {\tt 5 \ oranges}[/tex]

Step-by-step explanation:

Let's set up a proportion.

[tex]\frac{oranges}{minutes} =\frac{oranges}{minutes}[/tex]

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

[tex]\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}[/tex]

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

[tex]\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}[/tex]

[tex]\frac{125 \ }{300 \ }=\frac{x \ }{12 }[/tex]

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

[tex]12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12[/tex]

[tex]12*\frac{125 \ }{300 \ }=x[/tex]

[tex]12*0.416666667=x[/tex]

[tex]5=x[/tex]

Rob can peel 5 oranges in 12 minutes.

Answer:

B.

Step-by-step explanation:

Monopolistic Competition is a type of imperfect competition such that many producers sell products that are differentiated from one another and hence are not perfect substitutes. Therefore B. would be correct since Monopolistic Competition is Many sellers with a featured product that's differentiated to the buyer.

Answer: Mari earns 320 and jen earns 160

Answer:

The plane have traveled 1512.9 m from the time took off

Step-by-step explanation:

Acceleration [tex]a = 20m/s^2[/tex]

Initial speed = u = 0

Final speed = v = 246 m/s

Time = t = 93

We are supposed to find how far would the plane have traveled from the time took off

We will use equation of motion

[tex]v^2=u^2+2as\\(246)^2=2\times 20 \times s\\\frac{(246)^2}{2 \times 20}=s\\1512.9 m=s[/tex]

Hence The plane have traveled 1512.9 m from the time took off

Answer:

5/9

Step-by-step explanation:

All you have to do is simplify the ratio or multiply it by something.  

Hope this helps!

Answer: 9x + 45 = 9x + 45 Infinitely many

Step-by-step explanation: Use distributive property for the left and add like terms for the right

Answer:

9,45,9,45 and infinite

Step-by-step explanation:

ngl im probably wrong but i tried

Answer:

a rate

Step-by-step explanation:

I looked it up :P

Answer:

I think the answer is A

hope this helps :3

sorry if im wrong

Answer:

3x²- 1

Step-by-step explanation:

f(-3) when f(x) = -x²+1

(-x²+1) × -3

3x²- 1

Answer:

= -88

Step-by-step explanation:

Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².

The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.

The velocity time graph given in the problem can be used to find the distance travelled.

The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.

This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.

Now, the total area is given as,

1/2 × b × h + l × b

= 1/2 × 4 × 8 + 8 × 10

= 16 + 80

= 96

(b) The acceleration is given as the rate change of velocity with respect to time.

The acceleration in first 4 seconds is given as,

a = (8 - 0)/4

   = 2

Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.

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Answer: -3

Step-by-step explanation:

0,4

2,2

Find slope: 2 - 4 = -2

                      2 - 0 = 2

-2/2 = -1 is slope

7 = -1x + 4

subsitute -1 for x

7 = -1(-1) + 4

1 + 4

The required simplified value of the x is -3 for f(x) = 7.

Given that,
To determine the value of x so that f(x)=7​.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

As shown in the graph,
The slope of the line is m = -1
And points through which the line is passing are (0,4) and (4, 0)
The equation of the line is given as,
(y - 4) = -1  (x - 0)
y -4 = -x
y + x = 4
Now,

y = 4 - x
putting y = f(x)
f(x) = 4 - x
Now,
we have f(x) = 7
7 = 4 - x
x = -3

Thus, the required simplified value of the x is -3 for f(x) = 7.

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Answer:

P= 0.015x+60

Step-by-step explanation:

thats the right answer

If Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sales and he earns a commission of 1.5% of the dollar amount of all sales that he makes. Then P = 0.015x + 60 is total pay.

Two or more expressions with an Equal sign is called as Equation.

Given that Cooper's base pay is $60 per day

He gets $60 even for not selling computers,

meaning P= 60 when x=0, which is the y-intercept.

Now if Cooper makes a commission of 1.5% for all sales,

His earning will be increased by 1.5%.

The percentage value should be changed to decimal value. By Dividing 1.5 by 100

1.5/100=0.015

The amount of money earned in a given day increases $0.015 for each $1 of sales made.

Here x, representing Cooper's total pay on a day on which he sells x dollars of worth computers.

P = 0.015x + 60

Hence P = 0.015x + 60 is the total pay of cooper .

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Answer:

105

Step-by-step explanation:

You need to find the unit rate which is 10.50$. Then you would multiply it by 10.

Answer:

4,1

Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1