Answer:
when u divide both side by 2 the new equation will be y-5x=-3... and equation of a line is written in form of y=mx+c
so y=5x-3
what is the value of Y in this triangle
Answer:
5
Step-by-step explanation:
Pythagorean Theorum: a^2 + b^2 = c^2
12^2 + y^2 = 13^2
144 + y^2 = 169
Subtract 144 from both sides
y^2 = 25
Square root both sides
y = 5
Answer:
y = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
y² + 12² = 13²
y² + 144 = 169 ( subtract 144 from both sides )
y² = 25 ( take the square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
what is value of this expression below when y=3
8y^2-y-8
Answer:
61
Step-by-step explanation:
8x3^2 -3-8
8x9-3-8
72-3-8
72-11
61
Line t has an equation of y = -1/2 x + 7. Line u is parallel to line t and passes through
(4, -6). What is the equation of line u?
Answer:
y = -1/2x - 4
Step-by-step explanation:
Let equation of line u be y = mx + c
since line t and line u are parallel, slope/gradient of both lines are the same (aka m = -1/2)
sub (4, -6):
-6 = -1/2(4) + c
c = -4
therefore, equation of line u is y = -1/2x - 4
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
6 to the power 4 simplified
Answer:
1296
Step-by-step explanation:
6x6x6x6
6^4
Answer:
6×6×6×6
Step-by-step explanation:
I hope this helps
What is the domain and range please?
Answer:
domain is the max and min x values
range is the max and min y values
Step-by-step explanation:
Part 1: If we double each side of the second equation, 2x+y=8 we have 4x+2y=16. Explain why the same pair that is the solution to the system is also a solution to this new equation. If needed, you can support your explanation with hanger diagrams, or by inventing a situation that the equations represent.
Part 2: If we add the two equations in the original system, we have 6x+7y=32. Explain why the same (x, y) pair is also a solution to this equation
PLEASE ANSWER FAST
Answer:
Step-by-step explanation:
its the same because when you simplify it the equation is the same
SOmeone SMART HELP ME OMG
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
How do I solve this equation and check the solutions?
[tex]x = - 10 \\ [/tex]
[tex]x = 2[/tex]
Step-by-step explanation:
[tex] \sqrt{20 - 8x} = \times [/tex]
[tex]20 - 8x = {x}^{2} [/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex]x = - 10[/tex]
[tex]x = 2[/tex]
10
44:25
The monthly mean salaries and standard deviations of four college students are given below.
Standard Deviation
12.53
Student
Clarissa
Abi
Kaila
Shenika
Mean
$345
$598
$812
$208
8.99
15.29
7.67
Which statement must be true?
O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa,
O The monthly salary of Kaila is less spread out than the monthly salary of Abi.
O The monthly salary of Abi is less spread out than the monthly salary of Shenika.
O The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Save and Exit
Next
Submit
Mark this and return
Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
Standard deviation measures the spread around the mean of the different variables.
Shenika's monthly salary has a standard deviation of 7.67 while Clarissa has a standard deviation of 12.53. This means that Shenika's monthly salary is less spread out than the monthly salary of Clarissa.
Which is better, Radiologist technologist or Financial manager? I can't decide ah!
Answer:
technologist
Step-by-step explanation:
technologist is best
Answer:
Financial managers are typically more open and charismatic individuals, which can lead a team and make correct decisions. If your leadership and decisive skills are good, great! Financial manager is better for you.
Meanwhile, radiologist technologist (or just radiologists) are doctors who oversee x-ray operations, MRIs or PET scans. They are typically very specialized into this kind of field. If you're more into this kind of job, then go for it!
Step-by-step explanation:
Thanks, and please give Brainliest!
Find the total surface area of the following
cone. Leave your answer in terms of m.
12 cm
5 cm
Hint: Surface Area of a Cone = url + B
Where l = slant height, and B = area of the base
S.A. = [? ]n cm?
Answer:
[tex]S.A.=90\pi~cm^2[/tex]
Step-by-step explanation:
Surface Area of a Cone
Given a cone of base area B and slant height L, the surface area can be calculated with the formula:
[tex]S.A.=\pi rL +B[/tex]
The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:
[tex]B=\pi r^2[/tex]
[tex]B=\pi 5^2[/tex]
[tex]B=25\pi~cm^2[/tex]
The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:
[tex]L^2=5^2+12^2[/tex]
[tex]L^2=25+144=169[/tex]
Taking square roots
[tex]L = \sqrt{169}[/tex]
L = 13 cm
The surface area is:
[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]
Operating:
[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]
[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]
Answer:
90
Step-by-step explanation:
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50. How much popcorn can you buy per dollar? Do not include units (oz) in your answer.
Answer:
4
Step-by-step explanation:
$2.50 → 10 ounces
$1.00 → (10/2.50 x 1.00) ounces = 4 ounces
ASAP what is the x and y intercept for −4x+7y=3
Answer:
x - (-3/4,0)
y - (0, 3/7)
Step-by-step explanation:
Solve for x and y by elimination 3x+y=-1
Answer:
we need 2 equations to solve by elimination
Answer:
Step-by-step explanation:
for x
3x + y = -1
subtract 3x from both sides
y = -3x - 1
answer
for y
3x + y = -1
subtract y on from both sides
3x = -y -1
divide by 3
x = -1/2y - 1/3
answer
Determine the number of solutions to each system of equations.
Please put all of the equations in either One Solution, No Solution, or Infinitely Many Solution boxes
DUE TONIGHT
Answer:
One Solution:
y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1No Solution:
y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3Infinity many solutions:
y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5Step-by-step explanation:
We will see the system of equations one by one.
First system of Equation:
[tex]y = 0.5x-2\\y=-0.5x+4[/tex]
It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution
Second System of Equation:
[tex]y=0.5x+5\\y=0.5x+1[/tex]
This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.
Third System of Equations:
[tex]y =2x+1\\y = -4x+1[/tex]
The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.
Fourth System of Equations:
[tex]y=3x+2.5\\y=3x+2.5[/tex]
The lines formed by these lines will overlap each other so there will be infinity many solutions.
Fifth System of Equations:
[tex]y=-x-3\\y=-x+3[/tex]
These equations represent parallel lines so there will be no solution.
Sixth System of Solution:
[tex]y=-x-2\\y=-x-2\\[/tex]
The system will have infinite number of solutions
Hence,
One Solution:
y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1No Solution:
y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3Infinity many solutions:
y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5Answer:
the first answer is correct
Step-by-step explanation:
can anyone help with math thanks
Answer:
Step-by-step explanation:
50 - 5 - 18 = 27
27 ÷ 3 = 9
x = 9
can someone help me ASAP please
Answer:
46 degrees
Step-by-step explanation:
Answer:
[tex]x = 46[/tex]
Step-by-step explanation:
First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.
So now we know a triangles angles always add up to be 180, so now we just subtract and divide.
[tex]180 - 88 = 92[/tex]
So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.
[tex]92 \div 2 = 46[/tex]
Now we know x=46°
triangle ABC has vertices at A (-12,-8) B (10,-6) and C (6,14. What is the midpoint of side AC of the triangle?
Step-by-step explanation:
midpoint of AC=(x¹+x²/2,y¹+y²/2)
=(-12+6/2,-8+14/2)
=(-6/2, 6/2)
=(-3,3)
Kim ate 50% of candies in the bag. If Kim ate 35 candies , how many candies were total in the bag?
Answer:
70 candies
Step-by-step explanation:
35 x 2 = 70
Check:
70/2 = 35
Hey, can someone help me with my math homework?
If f(x) = 5x - 12, find f(x) when x= - 12
Plz answer
Answer:
-72
Step-by-step explanation:
first replace x with -12 so 5(-12)-12
then simplify which makes it -60-12
finally solve that which gives you -72
hope this helps :)
Unit rate $80 For 16 tickets?
Answer: each ticket cost 5 dollar
Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.
Find the missing value of x in the arithmetic sequence below.
x, 16, 20, 24, 28
Answer:
x=12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
just find the arithimetic sequence and count backwards have a great day
Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch. Student B
spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch. Student C
spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.
1. Which augmented matrix best represents the system of linear equations that could be used to
determine the price of each item?
Answer:
Step-by-step explanation:
...
[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item
What is Matrix?a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch.
Let bottle of school glue=G
a package of colored pencils=C
pencil pouch=P
G+C+P=9
Student B
spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch.
2G+3C+P=16
Student C
spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.
G+2C+2P=17
[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex]
is used to determine the price of each item
Hence [tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item
To learn more on Matrices click:
https://brainly.com/question/11367104
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what is 0.00000000007234 written in scienific from guysss help mee plss
Answer:
7.234
Step-by-step explanation:
I think this right lol lmk
Answer:
[tex]7.234\times10^{11}[/tex]
Step-by-step explanation:
In order to find the scientific notation of a number you must count the zeros.
[tex]0.00000000007234[/tex]
[tex]zeros=10[/tex]
[tex]7.234\times10^{11} =.00000000007234[/tex]
Remember you have to move the decimal point 11 times to get the decimal to where it is in standard form.
Hope this helps.
20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an accident, police can use the formula v=25L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
The correct format of the question is
After an accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
Answer:
48.6mi/h, Yes the car was speeding.
Step-by-step explanation:
The speed of the car is given by [tex]v=2\sqrt{5L }[/tex]
Skid length (L) = 118ft
V= [tex]2\sqrt{5*118}[/tex]
= 2 [tex]\sqrt{590}[/tex]
= 2*24.3
V = 48.6mi/h
Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.
pls answer seriouslyyy thank u
Answer:
See Explanation
Step-by-step explanation:
3.
XY is tangent at P and CP is radius
[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\
\therefore m\angle CPX = 90\degree \\[/tex]
4.
Radius of the circle = diameter /2 = 13/2 = 6.5.cm
5.
For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.
[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.
Let us work it out:
[tex] AD^2 = 7^2 = 49....(1)\\
AB^2 + BD^2 = 5^2 +5^2 \\
AB^2 + BD^2 = 25 + 25 \\
AB^2 + BD^2 = 50....(2) \\[/tex]
From equations (1) & (2), it is obvious that:
[tex] AD^2 \neq AB^2 + BD^2[/tex]
So, BD is not tangent to the[tex] \odot\: C. [/tex]
6.
Tangents drawn from an external point to a circle are congruent.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD
x = 4
7.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BD = BA (tangents drawn from external point to a circle)
x = 2
8.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD (tangents drawn from external point to a circle)
2x = 10
x = 10/2
x = 5
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
please help i’m so close to being done :(
Answer:39 i dont im 12 ps out
Step-by-step explanation:
If\ the\ polynomial\ p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b,\ p\left(1\right)\ =\ 3\ and\ p\left(2\right)\ =\ 19,\ find\ a\ \&\ b
pls tell fast
Answer:
Value of a =3
Value of b =5
Step-by-step explanation:
[tex]If\ the\ polynomial\ p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b,\ p\left(1\right)\ =\ 3\ and\ p\left(2\right)\ =\ 19,\ find\ a\ \&\ b[/tex]
We are given p(1)=3 and p(2)=19
Putting x =1 to find p(1)
[tex]p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(1)=2(1)^3+a(1)^2-7(1)+b\\We \ know \ p(1)=3\\3=2+a-7+b\\3=-5+a+b\\a+b=3+5\\a+b=8[/tex]
Now putting x=2 as p(2)=19
[tex]p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(2)=2(2)^3+a(2)^2-7(2)+b\\We \ know \ p(2)=19\\19=2(8)+4a-14+b\\19=16+4a-14+b\\4a+b=19-16+14\\4a+b=17[/tex]
Solving these equations to find values of a and b
[tex]a+b=8---eq(1)\\4a+b=17---eq(2)[/tex]
Subtract both equations
[tex]a+b=8\\4a+b=17\\-\ \ \ - \ \ \ -\\------\\-3a=-9\\a=\frac{-9}{-3}\\a=3[/tex]
So, value of a =3
Now finding value of b bu putting value of a in equation 1
[tex]a+b=8\\3+b=8\\b=8-3\\b=5[/tex]
So, Value of b =5