Answer:
Step-by-step explanation:
Let's say we wanted to find the LCM of 6 and 8.
First, write the prime factorization of both:
6 = 2×3
8 = 2³
Let's include all the exponents:
6 = 2¹×3¹
8 = 2³×3⁰
The LCM needs to have the prime factors with the highest exponents.
So we need prime factors of 2 and 3. The exponent of the 2 will be three, and the exponent of the 3 will be one.
LCM = 2³×3¹
LCM = 24
The equation of a line is y=-1/4x-7, (option 1)
<h3>
What is the equation of a line? </h3>
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
<h3>
How do you find the equation of a line?</h3>
Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
To find more about the straight line equations visit :
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Answer:
6. b. 50
7. d. 12
Step-by-step explanation:
6. 80% is equal to 0.8.
0.8x =40.
Divide 0.8 by 40 to get x.
x=50.
7. If he needs 3 eggs for 30 cookies, we divide 120 by 30 to get 4.
We multiply 4*3 to find the total amount of eggs needed.
4*3= 12
Answer:
a > -2.
Step-by-step explanation:
3a + 11 > 5
Subtract 11 from both sides:-
3a > 5 - 11
3a > -6
a > -2
i think its C) c= 15d + 45, i hope this helps and have a good day!
