Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (-3,3)
Answer:
[tex]\boxed {\boxed {\sf d\approx 4.2}}[/tex]
Step-by-step explanation:
The formula for distance is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Where (x₁, y) and (x₂, y₂) are the points.
We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:
x₁= -6 y₁ = 6 x₂ = -3 y₂ = 3Substitute the values into the formula.
[tex]d= \sqrt{ (-3 - -6)^2+(3-6)^2[/tex]
Solve inside the parentheses.
-3 --6 = -3+6 = 33-6 = -3[tex]d= \sqrt{(3)^2+ (-3)^2[/tex]
Solve the exponents.
(3)²= 3*3= 9 (-3)²= -3*-3 =9[tex]d= \sqrt{9+9[/tex]
Add.
[tex]d= \sqrt18[/tex]
[tex]d= 4.24264069[/tex]
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]d \approx 4.2[/tex]
The distance between the two points is apprximately 4.2
In △LMN , the measures of the angles L, M, and N, respectively, are in the ratio 1:2:5. Find the measure of each angle.
Answer:
1- 22.5°
2- 45°
5- 112.5°
Step-by-step explanation:
[tex]180 \div 8 = 22.5[/tex]
[tex]22.5 \times 5 = 112.5[/tex]
[tex]22.5 \times 2 = 45[/tex]
[tex]22.5 \times 1 = 22.5[/tex]
I need this pleaseeee
Answer:
2(√17b³ )c⁵
Step-by-step explanation:
We are to simplify the expression given below
√68b³c¹⁰
Simplifying 68
= √(17 × 4)b³c¹⁰
Hence
= 2√17b³c¹⁰
= 2 √17b³ × √c¹⁰
= 2 √17b³ × c¹⁰/²
= 2(√17b³ )c⁵
Which pair of expressions is equivalent?
Answer:
C is equivalent
Step-by-step explanation:
7/12*4/5
7*4/12*5
28/60
7/15
7/12/5/4
7/12*4/5
7*4/12*5
28/60
7/15
How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?
Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
A goat and a cow together weigh 190 kg 640 g. The weight of the goat is 59 kg 720 g. Find the weight of the cow
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
[tex]=59+0.720\\=59.720\ kg[/tex]
Total weight
[tex]=190+0.640\\=190.640\ kg[/tex]
Then, the cow weight is given by
[tex]\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g[/tex]
make k the subject of the formula y=
Answer:
You forgot to send the question. Send the full question when you can
Algebra 2 Exponential Growth or Decay? Please
The difference between two positive numbers is 7 and the difference between thes
cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
find the value of 'A-B'.
The difference between two positive numbers is 7 and the difference between these cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
To Find :-A - BSolution :-So,
Let the number be n and m
A = n × m = nm
B = n² + m² = (n + m)²
Now
n³ - m³ = 805
(n - m) (n² + m² + nm) = 805
Since difference is 7
7 × n² + m² + nm = 805
n² + m² + nm = 805/7
n² + m² + nm = 115
(n² + n) + (m² + m) = 115
A + B = 115
Now
On squaring the first eq.
(n - m)² = (7)²
(n - m)² = 49
B - 2A = 49
Now
A + B - B + 2A = 115 - 49
A + 2A = 66
3A = 66
A = 66/3
A = 22
By using 2
B - 2(22) = 49
B - 44 = 49
B = 49 + 44
B = 93
A - B = 22 - 93 = -71
[tex]\bold{ A-B=-71 }[/tex]
Pls help, this question has been bugging me for a while.
Answer:
Step-by-step explanation:
The square length of hypotenus (the side lenght that sees 90 degrees) is equal to sum of square length of side lengths
Let x represent the missing side
6^2 = 4^2 + x^2
36 = 16 + x^2 subtract 16 from both sides
20 = x^2 and x = 2[tex]\sqrt{5}[/tex]
if I have a 68% overall and I get a A+ on a final exam that is worth 20% of my grade what would my grade be? There is 86 questions on the final
Answer:
i guess your new grade would be 88%. If you past 100%, you might pass for that grade. Even if you get a 90%, you'll still be able to pass.
Step-by-step explanation:
2. X 0 4 7 10 13 y -5 -5 -5 -5 -5 Domain: ______________________ Range: _______________________ Function? _______
Answer:
[tex]Domain =\{0,4,7,10,13\}[/tex]
[tex]Range = \{-5\}[/tex]
[tex]y = -5[/tex] --- function
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}x & {0} & {4} & {7} & {10} & {13} \ \\ y & {-5} & {-5} & {-5} & {-5} & {-5} \ \end{array}[/tex]
Solving (a): The domain
The x values represent the domain.
Hence, the domain is:
[tex]Domain =\{0,4,7,10,13\}[/tex]
Solving (b): The range
The y values represent the range
Hence, the range is:
[tex]Range = \{-5\}[/tex]
Solving (c): The function
By observation, we can see that for all values of x the value of y remains unchanged (-5)
Hence, the function is:
[tex]y = -5[/tex]
What is the domain and Range of the piecewise function?
A. All real numbers
B. X<0, X>4
C. -inf < x < -2, 0< x<4, x>4
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
All the real numbers of X are domain and range of piecewise function .
What is piecewise function?
A Piecewise Function is a merge of several functions in a single graph. Each function takes a part of the x axis of the graph.
Graph
Domain: The domain of a piecewise-defined function is the union of its subdomains.
Range :The range of a piecewise-defined function is the union of the ranges of each subfunction over its subdomain.
Now,
Straight line graph of x having equation : y = mx + cconstant value of x : x= yexponential curve of x .Thus the domain and range of piecewise function is all real numbers .
Know more about piecewise function,
https://brainly.com/question/28225662
#SPJ2
Plsss help I will mark brainlist plsss help fast
Answer:
C.
Step-by-step explanation:
The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.
Johnny picked 3 pounds of strawberries. That afternoon, Johnny's sister ate 2/3 of the strawberries. How many pounds of strawberries did Johnny's sister eat?
Answer:
She ate 2 pounds
Step-by-step explanation:
(how do you eat 2 pounds of strawberries like what)
[tex]\frac{3}{4}x-1\frac{5}{8}-2\frac{3}{4}[/tex]
factor m^4 + 9m^2 + 20 completely
Answer:
Step-by-step explanation:
m^2(m^2+9)+20
What is the value of the expression below
1/4
÷
8
Answer:
1/32
Step-by-step explanation:
1/4 divided by 8
1/4 x 1/8
=1/32
Nine tokens are black on one side and white on the another initially four tokens have the blackside upwards in each turn tell the least number of turns yo need to have all tokens showing the same colour
Answer:
2
Step-by-step explanation:
Let us name the white chips "W" and the black ones "B". If there are 9 tiles and 4 are in black then the rest, that is 5, in white, like this:
B-B-B-B-W-W-W-W-W
First movement, in turn we can flip 3 tiles, in this case we flip two blacks and one white, it would look like this:
W-W-B-B-B-W-W-W-W
The second movement is to turn the 3 black ones and thus they would all be blank
W-W-W-W-W-W-W-W-W
This means that, the smallest number of movements is 2.
Who could help me with this please and thank you
Answer:
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
Step-by-step explanation:
Let
x = number of students in each van
y = number of students in each bus
This can be represented by the equation
7x + 6y = 394 (1)
3x + 12y = 612 (2)
Using elimination method
Multiply (1) by 2
14x + 12y = 788 (3)
3x + 12y = 612 (2)
Subtract (2) from (3) to eliminate y
14x - 3x = 788 - 612
11x = 176
x = 176/11
x = 16
Substitute x = 16 into (1)
7x + 6y = 394 (1)
7(16) + 6y = 394
112 + 6y = 394
6y = 394 - 112
6y = 282
y = 282/6
y = 47
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
PLEASE HELP! Thank you in advance! :3
Nicholas is buying shirts for his baseball team. He will pay $8.75 for each shirt plus a one-time fee of $25 for the design. Write an equation that can be used to find y, the total cost to buy x shirts.
Answer:He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design.
Which equation can be used to find y, the total cost to buy x shirts?
A) y = 9.5x + 22.5
B) y =22.5x + 9.5
C) y = 9.5x - 22.5
D) y =22.5x - 9.5
He would use equation A.
Step-by-step explanation:If each shirt cost 9.50 you would multiply that by how many shirts you have plus the one time fee of 22.50 you would get the equation y= 9.5x + 22.5
What should you do first in solving the quadratic equation?
x² + 18x + 81 = 25
Answer:
x= -4,-14
Step-by-step explanation:
Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.
Please help
11.5 gal
= qt
Answer:
46
Step-by-step explanation:
1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2
44+2=46
Sum of place value and face value of 5 in 75897 is
Given:
The number is 75897.
To find:
The sum of place value and face value of 5 in the given number.
Solution:
The given number is:
75897
The face value is 5 is always 5.
The number of is 5 on thousands place. So, the place value of 5 is:
[tex]5\times 1000=5000[/tex]
The sum of place value and face value of 5 in the given number is:
[tex]5000+5=5005[/tex]
Therefore, the sum of place value and face value of 5 in the given number is 5005.
another one plz help
Answer:
the answer is the 3rd one
Jester has a business that is not doing well. on Friday, he earned 468 dollars. On Saturday, he earned 459. on Tuesday, he earned 432 dollars. How much money did he earned on Thursday?
Answer:
i think is 424. its what my mom just explain to me
write the equation -1/2x - 2y = -4 in slope intercept form
Answer:
y= -1/4x+2
Step-by-step explanation:
y=mx+b is the slope intercept form.
We first must isolate y by adding 1/2x on both sides.
-2y=-4+1/2x
next we multiple by -1/2 to get rid of the -2
y=2-1/4x
y=-1/4x+2
Trigonometric ratios, Side length. 15 points AND brainliest.
Answer:
Side GI= 2
Step-by-step explanation:
Photo attached, used SOH CAH TOA method.
Determine wether each equation is correct. Select yes or no
how line did you wait in line? is a statistical question
Answer:
yes
Step-by-step explanation:
hopes this helped;0