X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.
Undefined (not a real number)
The square root of -256 would result in an imaginary number so by terms, it's "not real". The imaginary number would be 16i. 16x 16 =256, but since it's negative, it's √16 √16i.
Answer:
46
ayo how r u doin siahsvsgshsgsgsgsg
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:
![y = -4x+9](https://tex.z-dn.net/?f=y%20%3D%20-4x%2B9)
Step-by-step explanation:
Given equation of line is:
![4y=x-8](https://tex.z-dn.net/?f=4y%3Dx-8)
We have to convert the given line in slope-intercept form to find the slope of the line
So,
Dividing both sides by 4
![\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7B4%7D%20%3D%5Cfrac%7Bx-8%7D%7B4%7D%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B8%7D%7B4%7D%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B4%7Dx-2)
Let m1 be the slope of given line
Then
![m_1 = \frac{1}{4}\\](https://tex.z-dn.net/?f=m_1%20%3D%20%5Cfrac%7B1%7D%7B4%7D%5C%5C)
Let m2 be the slope of line perpendicular to given line
As we know that produt of slopes of two perpendicular lines is -1
![m_1.m_2 = -1\\\frac{1}{4} . m_2 = -1\\m_2 = -1*4\\m_2 = -4](https://tex.z-dn.net/?f=m_1.m_2%20%3D%20-1%5C%5C%5Cfrac%7B1%7D%7B4%7D%20.%20m_2%20%3D%20-1%5C%5Cm_2%20%3D%20-1%2A4%5C%5Cm_2%20%3D%20-4)
The slope intercept form of line is given by:
![y = m_2x+b](https://tex.z-dn.net/?f=y%20%3D%20m_2x%2Bb)
Putting the value of slope
![y = -4x+b](https://tex.z-dn.net/?f=y%20%3D%20-4x%2Bb)
to find the value of b, putting (3,-3) in equation
![-3 = (-4)(3) + b\\-3 = -12 +b\\b = -3+12\\b = 9](https://tex.z-dn.net/?f=-3%20%3D%20%28-4%29%283%29%20%2B%20b%5C%5C-3%20%3D%20-12%20%2Bb%5C%5Cb%20%3D%20-3%2B12%5C%5Cb%20%3D%209)
Putting the value of b in the equation
![y = -4x+9](https://tex.z-dn.net/?f=y%20%3D%20-4x%2B9)
Hence,
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:
![y = -4x+9](https://tex.z-dn.net/?f=y%20%3D%20-4x%2B9)
Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly
6.9 x 10⁷ is a scientific notation.
6.9 x 10⁷ in standard form is 69,000,000
Scientific notation is used to represent very large numbers or very small numbers.
Scientific notation has three parts. Its parts are the coefficient, base of ten, and the exponents.
6.9 is the coefficient
10 is the base of 10
7 is the exponent
The must always be 1 digit before the decimal point in the scientific notation.
The exponent tells us the number of places the decimal point has moved. Its sign tells us the direction of the decimal point's movement.
Since the exponent is positive, it tells us that the decimal point moved from right to left.
69000000. to 6.9000000
If the exponent had a negative sign, it means that the decimal point moved from left to right.
example: 6.9 x 10⁻⁷
its standard form would have been .00000069