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
The volume of a sphere of radius 3 cm is
(A)
9x cm
(B)
18.t cm
(C)
27 cm
(D)
36 cm
Answers
Answer:
3^3 = 27
27 * 3.14 = 84.78
84.78 * 4/3 = 113.04 is your answer.
Formula of volume of sphere is:
4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)
You get your radius by finding out what is half of your diameter or your given radius.
Just help me please don’t ignore me
Answers
Answer:
See https://brainly.com/question/23882263 for A and B parts of the first questiond)
[tex]HF = \sqrt{EH^2+EF^2} = \sqrt{2^2+3^2} = \sqrt{13}[/tex]#2
[tex]d = \sqrt{2^2+5^2} = \sqrt{4+25} = \sqrt{29}[/tex]#3
Diagonals are perpendicular. Side length of the rhombus:
[tex]a = \sqrt{(8/2)^2+(6/2)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5[/tex]Perimeter:
P = 4a = 4(5) = 202. It takes Samuel 5 hour to walk a mile.
Yesterday, Samuel walked for 13 hours.
Write a multiplication equation that can
be used to find the number of miles
Samuel walked. (Example 1)
Answers
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
13/5
Decimal Form:
2.6
Mixed Number Form:
2 3/5
Step-by-step explanation:
Here is a equation. Find x.
(2+x)5=11
Answers
(2+x)5=11
(2+x)=11/5
(2+x)= 5.5
x= 5.5-2
x= 3.5
Answer:
x = 0.2
Step-by-step explanation:
Distribute the 5 to (2 + x) to make it 10 + 5x = 11. You can rewrite it to make it 5x + 10 = 11 to make it easier if you want but you dont have to. Subtract the ten from both sides to make it 5x = 1. Divide both sides by 5 to get 0.2. If you want to double check your answer you can substitute 0.2 in for x in (2 + x)5 = 11 or in 5x + 10 = 11. It doesn't matter which.
Someone please help me out!!
Answers
Answer:
That's a right angled Triangle
When viewed upside down
(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)
tanA= Opp/Adj
tanA= 30/40
tanA= 3/4
OPTION D SEEMS LEGIT!!!
Someone please help <3
How many solutions does the equation 6n − 6n − 12 = 14 − 2 have?
Thank you!!
Answers
Answer:
i think there's zero solutions
2. Brandon has 4 1/2 cups of oats. He uses 3 1/4 cups to make oats for a camping trip. He saves the rest of the oats to feed to his bird, Coco. If Coco needs ¼ of a cup of oats each day, how many days can Brandon feed Coco with the oats he has left? Answer must be a whole number
Answers
4 1/2 - 3 1/4
.= 9/2 - 13/4
= 18-13/4
= 5/4 cups
= 5/4 cups ÷ 1/4 cups
= 5/4 × 4/1
= 20/4
= 5 days
Days can Brandon feed
hey! i’ll give brainliest please help
Answers
Answer:
The 4th answer
Step-by-step explanation:
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
Why DEF and STU are similar?
Answers
Answer:
They are similar because they both are in one page.SMART.Look at the picture!
Answers
Answer:
6 3/8 pounds (also 6.375 pounds)
Step-by-step explanation:
2 2/3 + 1 5/6 + 1 7/8 = x
8/3 + 11/6 + 15/8 = x
(multiply each fraction by to create the denominator 24)
8/3 x 8/8 = 64/24
11/6 x 4/4 = 44/24
15/8 x 3/3 = 45/24
64/24 + 44/24 = 108/24
108/24 + 45/24 = 153/24
153/24 = 6.375 = 6 3/8
They answered one of my questions before
Find z.
What is the length of the missing leg?
b = _____ miles
Answers
Answer:
5√3
Step-by-step explanation:
tan30= 5/z
1/√3= 5/z
z= 5√3
Q6.
.
Make t the subject of the formula w = 3t + 11
Answers
Answer:
t = w/3-11/3
Step-by-step explanation:
w = 3t + 11
3t = w-11
t = 1/3(w-11
t = w/3-11/3
A student began a proof of the law of sines using triangle xyz. His work is shown. The student has ____ started the proof. The next step in the proof is to ____. Then the student should _____.
Answers
To correctly prove the law of sines in a triangle the student should begin with the most basic or evident piece of information, then add related statements to it. and finish the proof with the conclusion or re-statement of the law.
What does it mean to prove in Mathematics?A mathematical proof refers to a set of statements that logically demonstrate a law is true or the mathematical statement is valid, which means the prepositions and conclusion are valid.
How to write a proof?The general pattern for proof is:
Write down the law or expression that you want to prove.Add statements that show the expression or law as valid by starting with the simplest or most evident reason and moving to more complex reasons.Re-state the law or conclude the statement is valid.Note: This question is incomplete because the proof is missing; due to this I answered it based on general knowledge.
Learn more about proof in: https://brainly.com/question/2034189
Answer:
The student has
correctly
started the proof.
The next step in the proof is to
express h in terms of angle X and side z
.
Then the student should
set the expressions for h equal
.
Step-by-step explanation:
show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)
Answers
Answer:
y = 2x + 5
Step-by-step explanation:
(-5 , -5) & (-1 , 3)
Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]
m = 2 & (-5 , -5)
Y -y1 = m(x -x1)
y - [-5] = 2(x - [-5] )
y + 5 = 2 (x + 5)
y+ 5 = 2x + 2*5
y = 2x + 10 - 5
y = 2x + 5
Please help fast answer only if you know or gonna report you
Answers
Step-by-step explanation:
a) unsuitable - the precision should have been about 0.030 kg (about an ounce)
b) unsuitable - the stopwatch should have a precision of 0.001 s
c) just about right, although I wouldn't mind it if its precision is of 0.05 mm
d) unsuitable - color matching requires much finer control so I would go with 1/8 cup precision.
17. A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters?
Answers
Answer:
28.27
Step-by-step explanation:
Formula to find the total surface area is
2pi · r · h + 2pi r^2
the radius is 3cm
2pi · 3 · 10 + 2pi · 3^2
Which value(s) of x are solution(s) of the equation below
Answers
Answer:
x =-1 , x=4Step-by-step explanation:
[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]
Answer:
[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]
I don't like doing math help if you know :)
Answers
Answer:
Step-by-step explanation:
-(2x+1)
-2x-1
write -2 in that bos and 1 after "-"
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
Answers
Explanation:
AC = EC
BC = DC
angle ACB = angle DCE (Vertically Opposite Angles)
Therefore, the triangles are congruent by the Side-Angle-Side congruency
s=10 what is the volume of the prism
Answers
What is the area of this triangle?
Answers
product of 3 and e in algebra
Answers
Answer:
3e
Step-by-step explanation:
the bearing of point x from point is 148 find the bearing of y from x solve it
Answers
A painter is to mix green and yellow paint in the ratio of 4 to 7 to obtain the color she wants.
If she has 28 liters of green paint, how many liters of yellow paint should be added?
A. 11
B. 16
C. 28
O D. 49
E. 196
Answers
Answer:
D. 49
Step-by-step explanation:
Create a proportion where x is the number of liters of yellow paint she should use:
[tex]\frac{4}{7}[/tex] = [tex]\frac{28}{x}[/tex]
Cross multiply and solve for x:
4x = 196
x = 49
So, she should add 49 liters of yellow paint.
The correct answer is D. 49
A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?
Answers
Answer:
14degrees
Step-by-step explanation:
Given the following
Distance of ship from the tower = 200m
Height of the tower = 50m
Required
Angle of depression theta
USing the SOH CAH TOA identity
Tan theta = opposite/adj
Tan theta = 50/200
Tan theta = 1/4
theta = arctan(0.25)
theta = 14.03degrees
Hence the angle of depression is 14degrees
Pam needs to spend less than $40 on her school supplies. She spends $12 on a
new calculator and wants to buy 7 binders. Write an inequality to model this
situation. Create a variable to represent unknown information. *
Answers
Answer:
(40-12)-(x·7)
Step-by-step explanation:
x is the price foreach of the 7 binders
Help quick please!!!
What Is the equation in slope-intercept form of the line that passes through the point (0-4) and is parallel to the line represented by y = x +4?
O y = 2x - 6
O y=-x+6
O y=-2x5
O y=x-4
Answers
Answer:
y = x-4
Step-by-step explanation:
y = x +4
This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept
Parallel lines have the same slope
The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5
y = mx+b
y = 1x-4
y = x-4
A Dilation has a center (0,0). Find the image of this point for the given scale factor: P (2-4); D 0.5 (P)
Answers
Answer:
(1, -2)
Step-by-step explanation:
The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.
For your given point (2, -4) with a scale factor of 0.5:
2 times 0.5 = 1
-4 times 0.5 = -2
Therefore your new point will be (1, -2).
HElp asap PLZZZZZZZZZZZZ!!!!!!!!!!!!!!!!
Answers
[tex] \huge{ \mathcal{ \underline{ Answer }\: \: ✓ }}[/tex]
The given figure is a sphere :
[tex] \boxed{ \mathrm{volume = \frac{4}{3}\pi {r}^{3} }}[/tex]
[tex] \dfrac{4}{3} \times \dfrac{22}{7} \times 4 \times 4 \times 4[/tex][tex] \dfrac{5632}{21} [/tex][tex]268.1 \: \: mi {}^{3} [/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]
Round your answer to the nearest hundredth
Khan Academy
Answers
Answer:
Step-by-step explanation:
take 40 degree as reference angle
using cos rule
cos 40=adjacent/hypotenuse
0.76=5/x
0.76x=5
x=5/0.76
x=6.578
x=6.58