Answer:
1.
[tex]2765000000 \: or \: 2.765 \times {10}^{9} [/tex]
2.
[tex]273 \: seconds[/tex]
3.
[tex]3.5 \times {10}^{7} [/tex]
Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
700 decreased by 62% is?
Answer:
The answer I got was 266
Step-by-step explanation:
700 - 62% = 266
62% = 434
700 - 434 (62%) = 266
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).
What does the y-intercept represent?
The y-intercept represents "How much Tammy is getting paid for each hour she works".
Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).
How to find what the y-intercept represents?If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.
Learn more about y-intercept on: https://brainly.com/question/16009543
#SPJ2
Answer:
Answer is A
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):
(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)
A. (4,7)
B. (-5,7)
C. (1,0)
D. (-4,7)
Answer:
093006570
Step-by-step explanation:
Rut ectjyvtjyhrjtjtj5j6
help me plaseeeeeeeeee
Answer:
it would be b
Step-by-step explanation:
How do I get the rule
i need some help with this question
Answer:
(7w + 9x)(7w - 9x)
Step-by-step explanation:
Given expression;
49w² - 81x²
Now to solve the problem;
49w² - 81x² = 7²w² - 9²x²
Using differences of two squares;
x² - y² = (x + y)(x - y)
So;
7²w² - 9²x² = (7w + 9x)(7w - 9x)
The value of -4 - x is positive. What must be true about x ?
i need help with this asap
Answer:
x must be less than -4Step-by-step explanation:
We need to set the equation equal to 0
-4 - x > 0
+ -4 + -4
x < - 4What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
NEED HELP!! ILL MARK YOURE ANSWER BRAINLIST.
1) In 2005 the number of seniors at Falcon decreased by 63 students over the 9 month school year. If the decrease was the same over the entire 9 months, write the monthly decrease as a quotient of integers and find the monthly decrease. please show you're work.
Answer
9
Step-by-step explanation:
Divide 63 by 9 months
7 students per month
63 / 9 = 7
A dolphin swam7 1/2 miles in 3/8 hour. what is its average speed in miles per hour?
Answer:
20 mph
Step-by-step explanation:
To find miles per hour you divide the number of miles by the number of hours
(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph
Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)
Answer:
the answer should be 7a^3-4a^2-2a-87
Patty ran 3 miles in 290 minutes,
Assume Patty maintains a constant
speed. How many minutes will it take
Patty to run 1 mile?
96.666..., or about 97 minutes/every mile.
What are rational numbers
Answer:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers
Answer:
C. it cannot be a whole number
Step-by-step explanation:
The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket
Answer:
Step-by-step explanation:
First you determine the variables x and y as:
x: the value for student tickets
y: the value for chaperone tickets.
Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:
x= y +2
On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:
59x + 6y = 508
Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:
[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]
Solving for x, the price of a student ticket:
Rearranging the first equation,
y = x - 2
Replacing in the second equation and solving for x:
59*x + 6*(x -2)=508
59*x + 6*x -12=508
65*x -12=508
65*x= 508 +12
65*x= 520
[tex]x=\frac{520}{65}[/tex]
x=8
The cost of a student ticket is 8$
Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?
Answer:
it would take him 19 track practices
Step-by-step explanation:
26miles - 7miles= 19miles
if the sides of a rectangle are 12 and 15, then the diagonal is
Answer:3x41 squared
Step-by-step explanation:
Which equation represents the graphed function?
A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y
Plz help me I am taking the unit test on edge
Answer:
try c, i took the test as well its either that or b
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]
Answer:
ddsdvffgdf gddccd fddf
Find FG. (idk how to write the question but apparently it needs to be longer)
Answer:
FG = 18
Step-by-step explanation:
FG + GH = FH
FG + 31 = 49
Subtract 31 from each side
FG +31-31 = 49-31
FG = 18
Answer: FG is 18
Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18
(5x+2x^2-3)-(6+x^2-8x)
Answer:
13x + x^2 - 9
Step-by-step explanation:
You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1 13x + x^2 - 9.
En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =
And if someone know the explanation please write it
Answer:
I think its 300
Step-by-step explanation
This is from my understanding, so I may be a bit wrong.
1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.
2. Using this idea we will come up with the equations of each triangle that has been formed.
3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.
4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180
5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180
6. Solve for y, which gives us y=30, *simple triangle math you know*
7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)
8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300
Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.
plz i need help -8 = p -5
4
rtbnjtfbu7yhjujkuf. ,i
simply the following (z⁵)²
Answer:
Z^10
Step-by-step explanation:
Answer:
multiply 5*2=10
your answer will be =z^10
Step-by-step explanation:
Item 10 Question 1 Solve the equation y/3=5 .
Answer:
y = 15
Step-by-step explanation:
y/3 = 5
Multiply each side by 3
y/3 *3 = 5*3
y = 15
Find the measure of the "?" or "X". Explain or show your
Answer:
66⁰ + x = 111⁰
x = 111⁰ - 66⁰
x = 45⁰
Answer:
First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.
So we can find 'y' by using 'linear pair'.
So Exterior angle 'E'+y=180 Degree.
= 111+y=180
By transposing: y=180-11
And y= 69 degrees.
And now have angles y & 'Angle G' we can use Angle sum property to find 'x'
ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"THEREFOR, y+x+angle G=180 degrees.
= 69 degrees+66 degrees+x=180 degrees
= 135 degrees+x=180 degrees
by transposing,
x= 180 degrees-135 degrees
And, x= 45 degrees
ANOTHER METHOD:BY USING EXTERIOR ANGLE PROPERTY.
ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"
So, Exterior Angle E= x+ Angle G
= 111 degrees= x+ 66 degrees
By transposing, x= 111 degrees-66 degrees
= x=45 degrees.
So no matter whichever method is used, the value of x= 45 degrees.
20 POINTS AND BRAINLIEST What is the value of x in this equation?
6x - 4(x - 9) = 2(3 - x)
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = -15/2 or -7.5
Step-by-step explanation:
6x - 4(x - 9) = 2(3 - x)
6x - 4x + 36 = 6 - 2x
2x + 36 = 6 - 2x
4x + 36 = 6
4x = -30
x = -30/4
x = -15/2
Check:
6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)
-45 + 66 = 2(10.5)
21 = 21
Answer:
[tex]-\frac{15}{2}[/tex]
Step-by-step explanation:
6x-4(x-9)=2(3-x)
6x-4x+36=6-2x (expansion)
2x+36=6-2x (collecting like terms)
2x+2x=6-36
4x=-30 (-30/4)
x=-[tex]-\frac{15}{2}[/tex]