Answer:
A) The solution is x = 2 and y = 2
B) The graphs would intersect at the point (2, 2).
Step-by-step explanation:
A)
We start with the system of equations:
y = 6*x - 10
y = 2*x - 2
To solve this, the first step is to isolate one of the variables in one of the equations.
Here we can see that the variable "y" is already isolated in both equations, so we can skip that step.
Now we can "replace" the "y" in one of the equations for the correspondent expression in the other.
we can write:
(6*x - 10) = y
and for the second equation, we know that y = 2*x - 2
So replacing that, we get:
6*x - 10 = 2*x - 2
Now we can solve this for x.
6*x - 2*x = - 2 + 10
4*x = 8
x = 8/4 = 2
Now to find the value of y, we can just input this value of x in any one of the two equations:
y = 6*2 - 10 = 12 - 10 = 2
y = 2*2 - 2 = 4 - 2 = 2
So the solution of the system is:
x = 2, y = 2
B) Because the solution of the system is the ordered pair (2, 2), this means that the ordered pair belongs to the graph of both lines, then we can conclude that these lines will intersect at that point (the one that is common to both lines). Actually, when we have a system of equations, graphing both equations and finding the points where the graphs intersect is one method to estimate the solution of the system.
The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the area of the sector removed from the inner circle is R^2/r^2 .
Answer:
[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]
Step-by-step explanation:
Given
See attachment for circles
Required
Ratio of the outer sector to inner sector
The area of a sector is:
[tex]Area = \frac{\theta}{360}\pi r^2[/tex]
For the inner circle
[tex]r \to radius[/tex]
The sector of the inner circle has the following area
[tex]A_1 = \frac{\theta}{360}\pi r^2[/tex]
For the whole circle
[tex]R \to Radius[/tex]
The sector of the outer sector has the following area
[tex]A_2 = \frac{\theta}{360}\pi (R^2 - r^2)[/tex]
So, the ratio of the outer sector to the inner sector is:
[tex]Ratio = A_2 : A_1[/tex]
[tex]Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2[/tex]
Cancel out common factor
[tex]Ratio = R^2 - r^2 : r^2[/tex]
Express as fraction
[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]
Need helppp........!!!!!!!!!!
Instructions: Find the missing angle measures in the given rhombus.
I need help on this problem
Answer:
c= 15 mi
Step-by-step explanation:
Pythagorean theorem. a^+b^=c^
Square root of that
answer 15
Answer:
15
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + 12 ^2 = c^2
81+144= c^2
225 = c^2
Take the square root of each side
sqrt(225) = sqrt(c^2)
15 =c
Pls please please help me with this
Answer:
the middle one
Step-by-step explanation:
Find the quotient when (4n6 + 8n5 + 10n4 + 8n2) is divided by 2n.
Answer:=2n5+4n4+5n3+4n
Step-by-step explanation:
Answer:
C. [tex]2n^{5} + 4n^{4} + 5n^{3} + 4n[/tex]
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
How many ways are there to fill the four committee positions?
Answer:
3 ways
Step-by-step explanation:
since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee
A factory inspector found 3 defective microchips out of a total of 750
microchips made. Which proportion can be used to predict the number of
defects, x, in a batch of 10,000 microchips?
Answer:
Option B
Step-by-step explanation:
Proportion of number of defective pieces to the number of microchips in a batch can be represented by the ratio = [tex]\frac{\text{Number of microchips not in good condition}}{\text{Total numbers of microchips}}[/tex]
If 3 microchips are defective in a batch of 750 microchips,
Proportion = [tex]\frac{3}{750}[/tex]
If 'x' chips are defective in a batch of 10000 microchips,
Proportion = [tex]\frac{x}{10000}[/tex]
If both the proportions are equal,
[tex]\frac{3}{750}=\frac{x}{10000}[/tex]
Therefore, Option B will be the answer.
Find the value of x.
Answer:
16 = x
Step-by-step explanation:
A triangle has 180 degrees. Use this to solve for x
180=(9x-8)+(x+2)+(x+10)
180 = 9x + x + x - 8 + 2 +10
180 + 8 -2 - 10 = 11 x
176 = 11x
176/11 = x
16 = x
Christopher rides his bike to and from school every day. The total distance he
rides each day is I mile.
What is the total number of miles that Christopher rides his bike over the 5-day
school week?
PLEASE HELP ME RNNN
Answer
5 miles
Step-by-step explanation:
If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles
14) When did the high temperature occur?
Please help
Answer:
D; 15
Step-by-step explanation:
Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).
Use the diagram below. If m∠3 = 60°, find m∠4.
Answer:
120
Step-by-step explanation:
The bottom part I need help on
Answer:
the y is 4
and the x is -8
(x,y)
(8,4-)
What is the vertex of the quadratic function y=-x²+6x+7?
Answer:
(3,16)
Step-by-step explanation:
Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.
The graph shows the proportional relationship between the side lengths of a square and its perimeter. Which equation shows the same relationship between the side length and the perimeter of a square? Perimeter of Square P. 32 28 24 P 15 Perimeter (inches) 20 16 12 P1 8 0 2 4 6 8 Side Length (inches) P 418
Answer:
y=4x
Step-by-step explanation:
Write the equation of linear function
Substitute:
Multiply the monomials:
Rearrange unknown terms to the left side of the equation:
Reduce the greatest common factor on both sides of the equation:
Rearrange unknown terms to the left side of the equation:
Divide both sides of the equation by the coefficient of variable:
Substitute one unknown quantity into the elimination:
Solve the equation: m=4
Write the solution set of the equations:
Substitute: y=4x
Answer: y=4x
I need help solving this math problem. 21-3+18÷6
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
18 divided by 6 equals 3
21 minus 3 equals 18
18 plus 3 equals 21
1 2/3 -2/9st step by step
Answer:
stay safe healthy and happy...find the value of x HELP PLS
Answer:
x= 36
Step-by-step explanation:
both angles together are supplementary and will form 180
Therefore, you know the missing angle can be found by substracting 108 from 180
180 - 108 = 72
72 = 2x
Answer:
36°
Step-by-step explanation:
2x+108°=180°
2x=72°
x=36°
Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 2
Answer: go to quizlet it will most likely have the answers
Step-by-step explanation:
Write six hundred seventeen thousand two hundred five in scientific notation.
A. 6.1720x 10^4
B. 6.17205x 10^5
C. 6.17205x 10^-5
D. 6.17x 10^6
Which is grater and I don’t need any links please and thank you
-4 is greater since its negative then what you would call a smaller number is always greater
Answer:
-4
Step-by-step explanation:
i would pick ice cream though
PLEASE HELP!!!! Write a solution for the equation 6x-8=4x
Answer:
X=4
Hope this helped some.
Answer:
4=X
Step-by-step explanation:
6X-8=4X
-8=-2X
-8/-2= 4X
HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4
Answer:
We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.
Hope this helps!
Here is the diagram:
PLEASE HELPP !!
Mona can walk from home to school following the roads, or she can cut across a
footpath as shown in the diagram below. Along the roads she walks 600 meters
east and 800 meters south.
how many meters less does she walk by cutting across the foot path?
Answer:
Step-by-step explanation:
are about 2.5 meters above
MARKING BRAINLIEST IF CORRECT + 50 POINTS!!!!
Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)
pls explain
Answer:
Part A : 1/62 Part b : 1/60
Step-by-step explanation:
Well lets start with part A
(62)x=1
anything in parenthesis means multiply
62x= 1
divide everything by 62 to get x by itself
x= 1/62
Part A : 1/62
Part B : 60x = 1
x = 1/60
because same reasoning
largest possible number that equals 5000 when rounded to one significant figure
Answer:
four significant digits
Step-by-step explanation:
What is the slope of (5,10)and (7,18)
Step-by-step explanation:
slope = 4
[tex] \frac{18 - 10}{7 - 5} [/tex]
which is
[tex] \frac{8}{2} [/tex]
which is 4
In a certain sequence, the first term equals 24 and each term after the first is 1/2 times the term before it. What is the 4th term of this sequence?
Question 4 options:
192
12
3
6
The given Histogram shows the salaries of the employees of Acme Corporation. What is the total number of employees in Acme Corporation?
A. 210
B. 300
C. 140
D. 100
Answer:
A. 210
Step-by-step explanation:
If you add the number of employees on the bar graph you will obtain your answer of 210 employees at Acme Corporation/Apple InfoTech.
What is the simplified form of 4 X ? 3 + 7?
Answer:
4x(10)
Step-by-step explanation:
add 3+7=10
4x is multiplying 3+7=10
4x(10)