Calculate the distance between the points G=(-9, 8) and C=(-1, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
10.63
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
01(x2-x1) = (-1 - -9) = 8
(y2-y1) = (1 - 8) = -7
Square the results and sum them up:
(8)2 + (-7)2 = 64 + 49 = 113
Now Find the square root and that's your result:
Exact solution: √113 = √113
Approximate solution: 10.6301
Please quickly do number 12 & 13 I'll give brainliest.
Answer:
y=3.7x + 120.3, 180
Step-by-step explanation:
Add them into a graphing calculator and you get y=3.7x + 120.3
Put 16 in for x:
3.7 (16) + 120.3
59.2 + 120.3 = 179.5, rounds to 180
Molly O'Rourke assembles computers for Radius Computer. She works 8 hours per
day less 2 breaks at 15 minutes per break. She spends 45 minutes on each
computer. How many computers should she be able to assemble in one day?
Answer:
10
Step-by-step explanation:
I converted 8 hours to minutes so solve the equation easily
8 hours = 480 minutes
I subtracted the amount of time she takes for a break
480- (15+15) = 450
To find the number of computers she could repair I divided 450 by the number of minutes she spends repairing one computer.
[tex]\frac{450}{45}[/tex]= 10
Therefore, she could fix 10 computers during her 8 hours of work.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
I’m so confused help please
Answer:
B. 0
Step-by-step explanation:
If you subtract the right side expression and simplify, you get ...
4/5(20x +5) -(16x -2) = 0
16x +4 -16x +2 = 0
6 = 0 . . . . . . . . . . . . false
There is no value of x that will make this true. There are no solutions.
The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
Step-by-step explanation:
y = 5x is the reference line (as best as I can interpret " y = 5* - .").
We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.
Parallel lines will have the same slope as the reference line, in this case m=5. Our new line will take the form of y=5x+b. An important difference is that the new line must go through (2,6). We need to find a value of b that will make that work.
Use y=5x + b with point (2,6) and solve for b:
6 = 5*(2) + b
b = -4
The line that is parallel to y=5x and goes through the point (2,6) is thus:
y = 5x - 4
See the attachment.
The equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + b
where -
[m] is slope of line
[b] is y - intercept
Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).
The equation of line [d] in the slope intercept form can be derived as follows -
Slope of line [c] = Slope of line [d] (parallel lines)
m[d] = 5
Assume the equation of line [d] as -
y = m[d]x + b
6 = 5 x 2 + b
b = 6 - 10
b = - 4
The equation will be -
y = 5x - 4
Therefore, the equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
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STUDY TIP 1
Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.
FOLLOW FOR MORE TIPS !!!
Answer:
THANK U!
FOR THE TIP.
HAVE A GREAT DAY!
The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
What is the value of a?
What is the value of b?
What is the value of c?
Answers:
a = 1
b = 14
c = 65
===========================================================
Explanation:
Let's focus on the root x = -7+4i
Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.
x = -7+4i
x+7 = 4i
(x+7)^2 = (4i)^2
(x+7)^2 = 16i^2
(x+7)^2 = 16(-1)
(x+7)^2 = -16
(x+7)^2+16 = 0
If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.
Expand out that expression to get it into standard form
(x+7)^2+16
(x+7)(x+7)+16
x^2+7x+7x+49+16
x^2+14x+65
The equation is now in y = ax^2+bx+c form
a = 1
b = 14
c = 65
If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.
The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.
Answer: 40 cm
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (18*d2)= 360
18*d2= 360*2
d2= 720/18
d2= 40
25% of the seniors class has blue eyes of the blue student 60% are females. What is the probability that seniors selected randomly is a blue eyed female.
A) 15%
B) 85%
C)60%
D)35
Explanation:
Let's say this school has 1000 seniors.
25% of this count is 0.25*1000 = 250 to indicate there are 250 seniors with blue eyes. Of this smaller count, 60% of them are girls with blue eyes. So there are 0.60*250 = 150 female seniors with blue eyes.
Divide that last number over the original value: 150/1000 = 0.15 = 15%
The probability that the senior selected randomly is a blue-eyed female is 15%.
It is given that 25% of the seniors class has blue eyes of the blue student 60% are females.
What is the probability?Probability refers to the occurrence of random events. Basically, it is the possibility to predict how likely events are to happen.
Probability of event = Number of favorable outcomes / Total number of outcomes.
Let's consider this school has 1000 seniors.
25% of this count
0.25 × 1000 = 250
Which shows that there are 250 seniors with blue eyes.
Similarly, 60% of them are girls with blue eyes.
So, there are 0.60 × 250 = 150
there are 150 female seniors with blue eyes.
Here, the probability that seniors selected randomly is a blue-eyed female
150/1000 = 0.15
= 15%
Therefore, the probability that the senior selected randomly is a blue-eyed female is 15%.
Learn more about the probability here;
https://brainly.com/question/795909
Find the term indecent of x in the expansion of (x^2-1/x)^6
By the binomial theorem,
[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]
I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that
12 - 3k = 0 ===> 3k = 12 ===> k = 4
which corresponds to the constant coefficient
[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]
divide 3/7 by 1/2 i need answers
Answer:
6/7
Step-by-step explanation:
Write an Equation in Slope Intercept form for the line described:
passes through (2.5, 0) and (0, 5)
Answer:
y=-2x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-0)/(0-2.5)
m=5/-2.5
m=-2
y-y1=m(x-x1)
y-0=-2(x-2.5)
y=-2(x-2.5)
y=-2x+5
Please mark me as Brainliest if you're satisfied with the answer.
Which is correct? I wanna make sure im right
it is letter C. 3.9
hope it helps
#Chloe919
#thanks for the points
#carry on learning
HELP NOW! 20 POINTS!
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
Juan texts 20 messages in 5 minutes. At this rate how many text messages can he send in 30 minutes
The answer 120 MESSAGES
2 Divided by 1 / 5. Rlly need help on this
Answer:
The answer will be 10
Step-by-step explanation:
2/1/5=10
the difference of a number and 7
Answer:
x-7
Step-by-step explanation:
What is the volume of a rectangular prism with a length of 2x, a width of x−2, and a height of x + 2?
Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
(2x³ - 8x) is the volume of a rectangular prism.
What is volume?
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)
Volume: L x B x H
= (2x) × (x - 2)(x + 2)
= (2x) × (x² - 4)
= 2x(x² - 4)
= 2x³ - 8x units³
Hence, 2x³ - 8x units³ is the volume of a rectangular prism.
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Which situation could this graph represent?
a. speed of a car starting from a stop sign and then approaching a stoplight
b. riding your bike slowly up a steep hill and then quickly down the other side
c. total rainfall during a rainy day
d. temperature as the weather changes from rainy to snowy
Answer:
A because the other answer choices are not associated with what is in the graph
8(3x – 6) = 6(4x + 8)
Answer: 0 = 96
Step-by-step explanation:
Answer:
The Answer is 0=96
Am I right? Should I've to add more info?(only about Rectangle and Square)
Answer:
Yh its right.
Step-by-step explanation:
Have a great day!
Answer:
yeah it is correct
Step-by-step explanation:
and well hruu
I need help with this question ASAP!
This is a Function?
O True
O False
Answer:
true
Step-by-step explanation:
Sixth grade
X Factor numerical expressions using the distributive property. MX2
Which expression shows a way to factor 63 + 49?
21(3 + 2)
7(9 + 7)
9(7 + 6)
3(21 + 16)
Hey there!
“63 + 49”
21(3 + 2)
= 21(3) + 21(2)
= 63 + 42
= 105
Option A. isn’t the answer because the equation for that is: 63 + 42
7(9 + 7)
= 7(9) + 7(7)
= 63 + 49
= 112
Option B. could possibly be your answer
9(7 + 6)
= 9(7) + 9(6)
= 63 + 54
= 117
Option C. isn't your answer because the equation for that is: 63 + 54
3(21 + 16)
= 3(21) + 3(16)
= 63 + 48
Option D. isn’t your answer because the equation for that is: 63 + 48
Thus, this makes makes [Option B. 7(9 + 7)] is your answer
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
i don't understand help me please math!!
Answer:
A. 315 degree
B. 6480 degree
C. 63^ over 2
D. 7^ over 4
E. 945 degree
hope it help:)
The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
Please help me with this math problem!! NO LINKS PLEASE!! DUE TONIGHT AT 11:59PM!! THANKS!! :)
[tex]\sin \gamma = \dfrac wk\\\\\\\tan \varphi = \dfrac mw\\\\\\\tan \gamma = \dfrac wm[/tex]
Select all of the phrases that could be
represented by the algebraic expression
3n - 3
This doesn’t make sense
The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.
Option 1:
3 fewer than n is represented as, n - 3
Option 2:
difference between n and 3 is represented as, n - 3.
Option 3:
3 times n is 3n
3 fewer than 3n is represented as 3n - 3.
Option 4:
product of 3 and n is represented as 3n.
Option 5:
3 less than 3n is represented as 3n - 3.
Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Learn more about algebraic expression on:
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HELP!!! WILL MARK BRAINLIEST!!! +15 POINTS!! REAL ANSWERS ONLY PLEASE!
Answer:
3rd option
Step-by-step explanation:
Answer:
it's the first option (x ≥ -4)
Step-by-step explanation:
Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.
x ≥ -4
A box has 30 pencils in it.the probability of picking a red pencil is 1/6.How many red pencils are in the box
Answer:
[tex]\huge\boxed{\sf 5\ red\ pencils}[/tex]
Step-by-step explanation:
Total pencils = 30
Probability of picking a red = 1/6
Red pencils in the box = probability × total pencils
= 1/6 × 30
= 5 red pencils
So, there are 5 red pencils in the box.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807