Answer:
The distance between the two points is [tex]\sqrt{65} \ \text{units}.[/tex]
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:
[tex]\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Our coordinate pairs need to be labeled accordingly, so we can use this naming system:
[tex]\bullet \ \ \ (x_1, y_1), (x_2, y_2)[/tex]
This assigns a name to our points:
[tex]x_1 = -5[/tex][tex]y_1 = 1[/tex][tex]x_2 = 3[/tex][tex]y_2 = 0[/tex]Therefore, we can plug these into the formula and solve:
[tex]d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}[/tex]
Therefore, the distance between the two points is [tex]\sqrt{65} \ \text{units}[/tex].
Solve for x.
0 ≤ 3x – 6 ≤ 18
Answer:
Inequality form: 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8
Interval Notation: [2,8]
Step-by-step explanation:
Why do we convert from a mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator?
A mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator
What are Mixed Numbers?
A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
To convert a mixed number to an improper fraction , we need to follow these three steps :
Step 1 : Multiply the whole number by the denominator
Step 2 : Add the answer from Step 1 to the numerator
Step 3 : Write answer from Step 2 over the denominator
Take for example :
Let the number be x = 5 5/9
Step 1 :
Multiply the whole number by the denominator
9 × 5 = 45
Step 2 :
Add the answer from Step 1 to the numerator
45 + 5 = 50
Step 3 :
Write answer from Step 2 over the denominator
50/9
Therefore , the mixed number 5 5/9 is converted to its improper fraction as 50/9
To learn more about mixed numbers click :
https://brainly.com/question/2639375
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What is the slope of a line perpendicular to the line whose equation is 3x+y=-5 Fully reduce your answer.
Answer:
The answer is 1/3
Step-by-step explanation:
Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation with the given value for x0.
y'-3xy=0; x0=-2
Use the table below to answer this question:
x y
-1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.
A.) −2
B.)−1
C.)1
D.) 2
Given:
The table of values.
To find:
The average rate of change for the given function from x = −1 to x = 2.
Solution:
From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.
Formula for average rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is
[tex]m=\dfrac{3-(-3)}{2-(-1)}[/tex]
[tex]m=\dfrac{3+3}{2+1}[/tex]
[tex]m=\dfrac{6}{3}[/tex]
[tex]m=2[/tex]
Therefore, the correct option is D.
Need help ASAP
Thank you
Answer:
the second one thxxx for the points
HELPPP please dont skip
Answer:
B
Step-by-step explanation:
Trust
Use the distributive property to find the value of x.
-1.2(3 – x) = -1.8
-3.6 + 1.2x = -1.8
1.2x = 1.8
x = ___
Answer:
i combined multiplied terms into a single fraction , then multiply all by the same value to eliminate common denominators simplify and divide and get x=1.5
Step-by-step explanation:
Answer:
yo
Step-by-step explanation:
its 1.5
promise
i did edge
Which fraction is greater than 1/2 and less than 3/4 ?
Answer:
a. [tex] \frac{2}{3} [/tex]
Step-by-step explanation:
The fraction, [tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex] and less than [tex] \frac{3}{4} [/tex].
How do we know this? See below how the fractions are compared together.
First, compare [tex] \frac{2}{3} [/tex] and [tex] \frac{1}{2} [/tex].
Find a common denominator for both fractions:
Common denominator of 2 and 3 would be 6. Therefore, multiply as follows:
[tex] \frac{2 \times 2}{3 \times 2} = \frac{4}{6}[/tex] and
[tex] \frac{1 \times 3}{2 \times 3} = \frac{3}{6} [/tex].
Compare the numerators. Which one is greater?
Form the calculation above:
[tex] \frac{2}{3} = \frac{4}{6} [/tex] has a numerator of 4.
.
[tex] \frac{1}{2} = \frac{3}{6} [/tex] has a numerator of 3.
Since 4 is greater than 3, therefore, the fraction, [tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex].
✍️Compare [tex] \frac{2}{3} [/tex] and [tex] \frac{3}{4} [/tex].
Find a common denominator for both fractions
[tex] \frac{2 \times 4}{3 \times 4} = \frac{8}{12} [/tex] and
[tex] \frac{3 \times 3}{4 \times 3} = \frac{9}{12} [/tex]
Comparing their numerator, 8 is less than 9, therefore:
[tex] \frac{2}{3} [/tex] is less than [tex] \frac{3}{4} [/tex].
✔️We can conclude that:
[tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex], and less than [tex] \frac{3}{4} [/tex].
3 inches
1.5 inches
1.5 inches
Answer:
6 inches
Step-by-step explanation:
help!! i do not know what to do. 8th grade math!!
Answer:
Yes
Step-by-step explanation:
The productivity consistanly increases by 3/2.
Answer:
i think its (0,0) and (11,7)
sorry if im wrong
Step-by-step explanation:
Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.
Answer:
II. One and only one solution
Step-by-step explanation:
Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.
Let assume the equation is given as;
x + 3y = 11 .... 1
x - y = -1 ....2
Using elimination method
Subtract equation 1 from 2
(x-x) + 3y-y = 11-(-1)
0+2y = 11+1
2y = 12
y = 12/2
y = 6
Substitute y = 6 into equation 2:
x-y = -1
x - 6 = -1
x = -1 + 6
x = 5
Hence the solution (x, y) is (5, 6)
Hence we can say the equation has One and only one solution since we have just a value for x and y
Jamie is painting her house. Each room takes ½ of a liter of paint. If Jamie has 3 liters of paint, how many rooms can she paint? *
There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!
Answer:
259,459,200 ways.
Step-by-step explanation:
That is the number of permutations of 8 from 15.
= 15! / 15-8!
= 15! / 7!
= 15*14*13*12*11*10*9*8
= 259459200
Help fast hshshdhwbebsolamehvrve
Answer:
Slope: -3/2
Y intercept: 4
Slope intercept form: y=-3/2x+4
Step-by-step explanation:
:) I hope this is good for you
Please help me solve this question will give you braisnlt !
Answer:
Table c
Step-by-step explanation:
Required:
Which of the 4 has the greatest rate of change
For Graph (A):
We start by picking any two equivalent points on the table:
[tex](x_1,y_1) = (0,1)[/tex]
[tex](x_2,y_2) = (2,5)[/tex]
Next, we determine the slope, m:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-1}{2-0}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
This represents the rate of change:
For (B): [tex]y = 3x + 7[/tex]
An equation is of the form:
[tex]y = mx + b[/tex]
Where
m represents slope or rate of change:
By comparison:
[tex]m = 3[/tex]
For table (C):
We start by picking any two equivalent points on the table:
[tex](x_1,y_1) = (1,7)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
Next, we determine the slope, m:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12-7}{2-1}[/tex]
[tex]m = \frac{5}{1}[/tex]
[tex]m = 5[/tex]
This represents the rate of change:
For (D):
The $1.00 paid every week represents the rate of change.
So:
[tex]m = 1[/tex]
For A - D:
The rate of change are:
[tex]A = 2[/tex]
[tex]B = 3[/tex]
[tex]C = 5[/tex]
[tex]D = 1[/tex]
5 is the greatest.
Hence, (c) has the greatest rate of change
ok yall i need help and yall kinda no treading the question fully READ ITTTTT, i will give brainleist
Answer:have a wonderful Christmas!
Step-by-step explanation:70+95
70=2*5*7
95=5*19
70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)
5*33=165 and 70+95=165 also
Answer:
The answer is 165, hope this helps.
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
please help
Solve |6k + 12| + 9 = 9 for k
Answer:
k = -1/2
Step-by-step explanation:
|6k + 12| + 9 =9
6k + 12 = 9-9
6k + 12 = 0
6k = -12
k = -1/2
19 X 6 fill in the blanks
Is the answer 6 or 36 need help. The volume of a rectangular prism is 216. It's square base has sides that are 6. What is the height of the rectangular prism?
36
because you add 36 6 times so 36×6= 216
Answer:
Well, 216 divided by 6 is 36,so...
Step-by-step explanation:
Which rational number is positive?
Answer:
D because when you divide 2 negative number it will be positive
If two lines are perpendicular, their slopes are negative reciprocals.
A. True
B.False
Which proportion would be used to solve the following problem. The proportion of turtles to alligators at the reptile park is 5:9. Since Beth
counted 45 turtles, how many alligators are there?
Answer:
25 I think not sure
Step-by-step explanation:
A TV store buys TV's for $250 each, and then increases the price by 120%. What is the sales price of a TV at this store?
Answer:
$300
Step-by-step explanation:
Answer:
$300
Step-by-step explanation:
250 100
? 120
(250x120)/100
Your budget is $60 for Chipotle each month, which you go out to at least twice week. Each meal is $7. How much money is left in your budget after you have eaten at Chipotle eight times this month. Would you have money left over to get guacamole (at least once during the month) for $1.80.
Answer:
Step-by-step explanation:
Gjbvhobcfu
Answer:
I cannot see the question
Step-by-step explanation:
A trade-in is most closely related to which of the following?
a.
A down payment, because it reduces the amount financed.
b.
An interest payment, because it represents value given to the dealer.
c.
The list price, because it is derived from the price of a car.
d.
Amortization, because it is a way of paying for car financing.
Answer:c.
The list price, because it is derived from the price of a car.
Step-by-step explanation:
Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.) ANSWER C
Answer: A. A down payment, because it reduces the amount financed.
Step-by-step explanation: I just took the quiz and got a 100%. Edge 2021
Who HATES k-12 I"TS THE WORST
Answer:
MEEEEEEEEEEEEE LOL hahaha
Answer:
I hate it, it doesnt teach you anything!!
Step-by-step explanation:
A police department reported that approximately 5% of the alarm calls they get each day are real emergencies and not false alarms. If they receive 120 alarm calls in one day, about how many of them would be false alarms?
Answer:
6
Step-by-step explanation:
5% of 120 is 6.
Well, if 5% of them are real, that means 95% of the calls they get each day are false alarms.
If we set up our inequality and multiply (Which i'm assuming you know how to do) We would get 114. Therefore, 114 calls would be false alarms.
7-3x=x-4(2+x) please help with work
Answer:
7-3x=x-4(2+x)
7-3x=x-8-4x
7-3x-x=-8-4x
7-4x=-8-4x
-4x+4x=-8-7
0 =-15
=-15/0
=0
Geometry homework. Please help.
Answer: Sure
Step-by-step explanation:
Step-by-step explanation:
✬ Radius = 2.5 cm ✬
Step-by-step explanation:
Given:
Radius of spherical ball is 3 cm.
Radii of new spherical balls are 1.5 cm and 2 cm.
To Find:
Radius of third spherical ball ?
Solution : Let the radius of third spherical ball be x cm.
If something is melted and recasted into another thing then their volumes will be equal. In short
Volume of 1st thing = Volume of second one.
➯ Let's see here
Volume of big spherical ball will be equal to the sum of volumes of that three small spherical balls.
As we know that
★ Volume of Sphere = 4/3πr³ ★
[ Taking big spherical ball ]
Radius = 3 cm
⟹ Volume = 4/3 × π × (3)³
⟹ 4π/3 × 27
Volume we got = 4π/3 × 27 cm³
[ Taking 3 small spherical balls ]
Radius of first ball (r¹) = 1.5 cm
For second (R) = 2 cm
For third (x) = x cm
Volume = 4/3 × π( sum cubes of radii)
⟹ Volume = 4/3 × π(1.5³ + 2³ + r³)
⟹ 4π/3 (3.375 + 8 + x³)
⟹ 4π/3 ( 11.375 + x³)
Volume we got = 4π/3 (11.375 + x³) cm³
A/q
First volume = Second volume
➮ 4π/3 × 27 = 4π/3 (11.375 + x³)
➮ 27 = 11.375 + x³
➮ 27 – 11.375 = x³
➮ 15.625 = x³
➮ 15625/1000 = x³
➮ 3125/200 = 625/40 = 125/8 = x³
➮ ³√125/8 = x³
➮ 5/2 = x²
➮ 2.5 cm = x
Hence, the measure of radius of third spherical ball is 2.5 cm.