Write a linear equation that intersects ytte points. Then willes second linear equation that intersecta y at just one point, and ther equation that does not intersecty Expten how you found the linear equations 40
Answers
Answer:
[tex](a)\ y = 2x +8[/tex]
[tex](b)\ y = 0[/tex]
[tex](c)\ y = -5[/tex]
Step-by-step explanation:
Given
[tex]y = x^2[/tex]
First, graph [tex]y = x^2[/tex] (See attachment)
We are not limited to any particular linear equation; as long as we meet the required condition
Solving (a): Equation of a line that intersects [tex]y = x^2[/tex] at two points
Select any two points on opposite sides of the curve
The selected points are:
[tex](x_1,y_1) = (-2,4)[/tex]
[tex](x_2,y_2) = (4,16)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{16 - 4}{4 - -2}[/tex]
[tex]m = \frac{12}{6}[/tex]
[tex]m = 2[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 2(x - -2) + 4[/tex]
[tex]y = 2(x +2) + 4[/tex]
Open bracket
[tex]y = 2x +4 + 4[/tex]
[tex]y = 2x +8[/tex]
Solving (b): Equation of a line that intersects [tex]y = x^2[/tex] at one point
A good illustration of this is x-axis
Because it intersects with the line at just one point, which is origin (0,0).
The equation of line at this point is:
[tex]y = 0[/tex]
Solving (c): Equation of a line that does not intersect [tex]y = x^2[/tex]
Here, we make use of any horizontal line below the x-axis
Select any two horizontal points below the x-axis
[tex](x_1,y_1) = (-5,-5)[/tex]
[tex](x_2,y_2) = (5,-5)[/tex]
Calculate slope
[tex]m = \frac{-5--5}{5--5}[/tex]
[tex]m = \frac{0}{10}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0(x - -5) + (-5)[/tex]
[tex]y = 0-5[/tex]
[tex]y = -5[/tex]
Related Questions
Which point justifies the shaded area by satisfying StartFraction x squared Over 16 EndFraction
+ StartFraction y squared Over 4 EndFraction less-than-or-equal-to 1? (1, 1) (4, 1) (-1, 2) (2, -2)
Answers
Answer:
A
Step-by-step explanation:
Edge 2021
The point justifies the shaded area is (1, 1).
What is Equation of Ellipse?Thus, the standard equation of an ellipse is x²/ a² + y²/ b² = 1.
This equation defines an ellipse centered at the origin. If a > b , the ellipse is stretched further in the horizontal direction, and if b > a , the ellipse is stretched further in the vertical direction.
Given:
x²/ 16 + y²/ 4 ≤ 1
As, the given equation is in the form of an ellipse is x²/ a² + y²/ b² = 1.
Now, when we plot the Equation in the graph we get the elliptical shape.
From the given point the point which lies inside the graph is (1, 1).
Learn more about Equation of Ellipse here:
https://brainly.com/question/28028155
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What is the median of the numbers 2 5 6 8 10
Answers
Answer:
Median is 6
hope it helps u!!! have a great day ahead..
Answer:
6
Step-by-step explanation:
because a median means. the number located at the centre of of the Patten
Can someone tell me this? I dont get it.
Answers
Answer:
Step-by-step explanation:
Numbers 1 and 4 are perimeter questions so all you do is add up all the sides and the label is cm. For #2, this is an area problem and the area for a rectangle is length times width, so multiply the 2 together and the label is inches squared. For #3, the volume formula for a cube is side*side*side and the label for this is feet cubed. For #5, the area for a triangle is .5 times the base times the height, and the label is mm-squared. That should help you get all the answers on your wn. Very, very simple.
Find the degree measure of each angle in the triangle.
Answers
Answer:
∠K = 46° ∠L = 90° ∠J = 44°Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
90° (4x + 10)° (2x + 26)°Solving according to angle sum property,
Sum of all angles in a triangle is 180°
[tex]\longrightarrow[/tex] 90° + (4x + 10)° + (2x + 26)° = 180°
[tex]\longrightarrow[/tex] 126° + 6x = 180°
[tex]\longrightarrow[/tex] 6x = 180° - 126°
[tex]\longrightarrow[/tex] 6x = 54°
[tex]\longrightarrow[/tex] x = 9
Angles =
[tex]\longrightarrow[/tex] 4(9) + 10
[tex]\longrightarrow[/tex] 46°
[tex]\longrightarrow[/tex] 2(9) + 26
[tex]\longrightarrow[/tex] 44°
∠K = 46° ∠L = 90° ∠J = 44°The angles are 46°, 90° and 44°.
Help me
Press on pic to see it fully
Answers
Answer:
[tex]\frac{3}{5} X\frac{5}{3}[/tex] is greater than [tex]\frac{3}{5}[/tex]
If your 9 right now, and in 11 years you'll be 20, how old will you be in 60 years?
Answers
Answer:
you would be..80
Step-by-step explanation:
All you have to do is an addition equation
60 + 20 = 80
It would mean a lot if you guys anwsered this in under 10 minutes!
Right anwser = Brainliest
Links = Report
Answers
Answer:
268.32yd^3
Step-by-step explanation:
Answer:
268.32yd^3
Step-by-step explanation:
MIC UP YOU SCARED TO GET PACKED!!!!!!
Answers
Answer:
lol huh...
Step-by-step explanation:
please help me id really appreciate it so much
A- (2.4, 0)
B- (0, -1)
C- (0.4,0)
D- (1, 2)
Answers
36% of £240 add working out pleasee
Answers
Answer:
36% of 240
=36/100*240
=6640/100
=86.4
Step-by-step explanation:
Answer:
£86.40
Step-by-step explanation:
36% = [tex]\frac{36}{100}[/tex] = 0.36 , then
0.36 × £240 = £86.40
You randomly choose a letter from the word ENGAGEMENT. Find the probability of
choosing either an N or an A.
Answers
Answer:
3:10
Step-by-step explanation:
there are 2 N's and 1 A
Answer:
3/10 or 3:10
Step-by-step explanation:
There are a total of 10 letters in the word ENGAGEMENT. The probability of choosing an N or and A is 3 because there are 2 N's and 1 A for a total of 3 possibilities out of the total number of letters which is 10.
A diver is currently at an elevation of -380 feet. Write an absolute value statement to express the diver's distance, in feet, from sea level. Then, interpret the result in this situation by explaining what this means for the diver.
Answers
Answer:
The absolute value function:
f(x) = |x|
is defined as:
f(x) = x if x ≥ 0
f(x) = -x if x < 0.
Then, knowing that the elevation of the diver is -380 ft
We can write the absolute value of the distance as:
|-380ft| = -(-380ft) = 380ft
This means that the diver is at a distance of 380 ft from sea level. (And because we know that the sign is negative, we can conclude that he is 380ft below sea level).
What is the equation of the line that passes through the point (-7, -7) and
has a slope of 1?
Answers
Answer:
[tex]y=x[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axisy and x stay as they are while m and b are replaced with numerical values1) Determine the slope (m)
[tex]y=mx+b[/tex]
We're given that the slope of the line is 1. Plug this into the above equation
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in the given point (-7,-7)
[tex]-7=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]-7+7=-7+b+7\\0=b[/tex]
Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]
[tex]y=x+0\\y=x[/tex]
I hope this helps!
Which fraction is the closest estimate to √10
1. 2 1/2
2. 3 1/5
3. 3
4. ⅒
Answers
Answer:
Step-by-step explanation:
(√10)²=10
1. (2 1/2)²=(5/2)²=25/4=6.25
2. (3 1/5)²=(16/5)²=256/25=10.24
3. 3²=9
4. (1/10)²=1/100=0.01
we see 10.24 is near to 10
so 3 1/5 is closest.
find :- a) 7.9 ÷ 1000
b ) 26.3 ÷ 1000
c) 38.53 ÷ 1000
all of the questions are separated, explain with the steps, according to class 7 , ch - 2 Fractions and Decimals......
Answers
Answer:
The solution is given below.
Step-by-step explanation:
Given that
a) 7.9 ÷ 1000
b ) 26.3 ÷ 1000
c) 38.53 ÷ 1000
We need to find out their answers
So,
for a)
= 7.9 ÷ 1000
= 0.0079
b)
= 26.3 ÷ 1000
= 0.0263
c)
= 38.53 ÷ 1000
= 0.03853
Basically we divided the number and it comes in decimal form
One-sixth of a certain number and three-eights of the same number total 13. What is the number?
Answers
Answer:
The number is 24
Step-by-step explanation:
1/6x + 3/8x = 13
4/24x + 9/24x =13
13/24x = 13
13x=312
x=24
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Answers
Answer:
The circumference of a circle
Step-by-step explanation:
Hope this helped you out :)
Answer:
2π r is how you find the circumference of a circle so the answer is the second option .
im my grade is a 85.85 and i get a 66% and it has a 15%grade weighth what is my final grade
10 pts hurry
Answers
Answer:
your new grade is 88%
follow me also
heya heya heya math question please
thanks in advance :')
Answers
6. In a survey about young people's spending habits, 69 out of the 120 teenagers questioned said they get a regular weekly allowance. a. What percent of the teenagers questioned get a regular weekly allowance? Round your answer to the nearest percent. b. Out of the those who get a regular weekly allowance, 23 said that they also have a weekend job. What percent of the teenagers questioned who receive a regular weekly allowance do not have a weekend job? Round your answer to the nearest percent
answer b please
Answers
Answer:
57.5 percent for first answer
Step-by-step explanation:
2nd answer 19.166666666667
rounded 58 percent and 19 percent
Answer:
67%
Step-by-step explanation:
(69-23)/69 = 67%
Which equation is the universe of y=9x^2-4
Answers
Step-by-step explanation:
keep in mind that, to get the inverse expression of any relation, we start off by doing a quick switcheroo on the variables, and then solve for "y", so let's do so,
Answer:
[tex]y = \frac{\sqrt{x+4} }{3}, \ y = -\frac{\sqrt{x+4} }{3}[/tex]
Step-by-step explanation:
To find inverse we replace and y first.
[tex]y = 9x^2 - 4 \ becomes \ x = 9y^2 -4[/tex]
[tex]Then \ solve \ for \ y\\\\9y^2 = x+ 4\\\\y^2 = \frac{x+4}{9}\\\\y = \pm \sqrt{\frac{x+4}{9}} \\\\y = \pm {\frac{\sqrt{x+4}}{3}[/tex]
How can it be that 11 = 1 and 10 = 1, but 01 = 0? Can you explain it?
Answers
Answer:
Step-by-step explanation:
11 = 1
10 = 1
01 = 0
It is a puzzle. It just take the term on the left side of the two digits.
Example : 24 = 2
36 = 3
49 = 4
Distributive property, I’ll mark brainliest if correct !!
Answers
Answer:
1. 20 - 2 x
3. -7 x - 21
5. 5 - 15 x
7. 20 x - 50
9. 1 - 4 x
11. 18 x - 8
13. 24 x + 36
Step-by-step explanation:
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answers
Answer:
Y remains unchanged because y is still 7.
HELP ME PLEASEEEEEEEEEEEE
Answers
Answer:
15 x 20 x 4 = 1,200
6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12
12(area of 1 triangle) x 12(width) = 144
Formula area of a triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
Formula volume of a rectangular prism:
L x W x H
Answer:
1) 1200
2) 144
Step-by-step explanation:
1:
Volume Of A Cube: L * W * H
Substitute: 25 * 20 * 4
2:
Volume Of A Triangular Prisism: 0.5 * B * A * H
Substitute: 0.5(6 * 4) * 12
A car travels at a constant speed of 40 mph on the highway. Write an expression to find the distance the car travels for any number of hours. Let the variable h represent the number of hours.
Answers
Answer: [tex]40h[/tex]
Step-by-step explanation:
Given
Speed of car is [tex]40\ mph[/tex]
We know, distance is given by
[tex]\text{Distance=}\text{speed}\times \text{time}[/tex]
Let h represents the number of hours
So, the distance traveled with speed [tex]40\ mph[/tex] in 'h' hours
[tex]\Rightarrow d=40\times h\\\Rightarrow d=40h[/tex]
So, the expression is given by [tex]40h[/tex]
Janna has driven 200 miles. If she averages 50 miles per hour, how many more hours must she drive before she has driven a total of 500 miles?
Answers
What is the value of x, if the area of ΔABC is 12√3 square cm.
Answers
Answer:
What is the value of x, if the area of ΔABC is 12√3 square cm ...
Step-by-step explanation:
maybe this link helps you
What is the perimeter of the following composite figure?
35.13 yd
21 yd
47.13 yd
42 yd
Answers
Answer:
42 yards
Step-by-step explanation:
you do; 12+12+9+9 (a+b+a+b is the key for rectangle) which would equal 42.
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A basket is filled with 8 white eggs and 10 brown eggs. Half of the white eggs are cracked.
An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg?
Write your answer as a fraction in simplest form.
Answers
Answer:
4/18
Step-by-step explanation: