Answers
Hi there!
Looking at the graph, the first intersection point is clear. The red parabola and blue line clearing intersect at the point (0, -1).
Find the second intersection point by setting the equations of both graphs equal to each other.
Line: y = 3x - 1
Parabola: y = 4x² - 1
Find another intersection point by setting these two equations equal to each other:
4x² - 1 = 3x - 1
Bring all terms onto one side:
4x² - 3x = 0
Factor out x:
x(4x - 3) = 0
Set 4x - 3 to 0 and solve:
4x - 3 = 0
4x = 3
x = 3/4
Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:
y = 3(3/4) - 1
y = 9/4 - 1
y = 5/4
(3/4, 5/4)
Related Questions
unit 5 relationships in triangles homework 1 triangle midsegments
Answers
Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
What are Parallel lines?Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
SubstituteFH = ½(48)
FH = 24
b.) JL = 2(FG)
SubstituteJL = 2(37)
JL = 74
c.) KJ = 2(GH)
SubstituteKJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
SubstituteFJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
SubstituteAE = 2(13)
AE = 26
b.) AN = 2(CP)
SubstituteAN = 2(29)
AN = 58
c.) CT = ½(EN)
SubstituteCT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
SubstitutePerimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
Add like terms together10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
Add like terms together19x - 12x = 28 + 14
7x = 42
Divide both sides by 7x = 6
Learn more about midsegment theorem on:
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CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
i think its b
Step-by-step explanation:
How can you tell from the equations, without graphing, how many solutions the system has?
Answers
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.Step-by-step explanation:
Hope this helps !!Simplify the expression. Explain each step 7(4y)
Answers
Answer: 28 y
Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y
Which is the most popular shoe brand is it Experimental or Observational
Answers
Answer:
hear is ur answer....
Step-by-step explanation:
Observation market research is a technique which involves directly observing consumers or another target audience in their natural environment - for instance, watching how shoppers stop outside a fashion retailer, what they are drawn to in a window display and which direction they go after entering the store.
Answer plz answer !!!
Answers
Answer:
B
Step-by-step explanation:
1/4 yard long, area is 1/3 and we have to find the width so:
1/3(area) divided by 1/49(length) would get you your width
pls answer quickly But the answer
which of the following measurement is the smallest?
A) kilogram
B) Gram
C) centigram
D) milligram
Answers
Answer: Milligram is the smallest
Step-by-step explanation:
What does 100+100-200+90+20=
Answers
Answer:
110
Step-by-step explanation:
110
step-by-step explanation:
You havew 100 then add 100 then it becomes 200, you then subtract 200 and now you have 0 you then add 90 and add 20 which equalls to 110
If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?
Answers
Reminder = f ( 6 )
Thus :
[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]
[tex]f(6) = 1296 - 864 + 1[/tex]
[tex]f(6) = 433[/tex]
Thus ;
[tex]remider = 433[/tex]
Help please
complete the missing information to write a subtraction problem for each number line.
Answers
Answer:
-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)
Step-by-step explanation:
A:
1.4 - 2.2 = -0.8
B:
-0.75 - 1.5 = -2.25
C:
-0.2 - 1.8 = -2
Answer:
A. 1.4 - (-0.8) = 2.2
B. -0.75 - (-2.25) = 1.5
C. -0.2 - (1.6) = -1.8
Step-by-step explanation:
i just took the test on edge, and got it right (pls mark me as brainliest)
If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answers
Answer:
Because it can't be written as a Ratio of two integers
What is the sum of -6 and 9?
Answers
Answer:
3
Step-by-step explanation:
-6+9=3
The ratio of the interior angle measures of a triangle is 1:4:5 what are the angle measures?
Answers
Answer:
18° , 72° , & 90°
Step-by-step explanation:
First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°
The equation will be:
1x + 4x + 5x = 180°
10x = 180°
divide both sides by 10 to get 1x on the left side:
[tex]\frac{10x}{10} =\frac{180}{10}[/tex]
x = 18
Then plug 18 in, instead of 'x', similar to in the first step:
1(18) = 18°
4(18) = 72°
5(18) = 90°
a) work out the size of angle x.
b) give reasons for your answer.
Answers
Answer:
x=30
Step-by-step explanation:
105 is also the same as angle b which is also the same as the angle opposite.
so
150+150=300
360-300=60
60/2=30
hope that helps.
plz mark as brainliest if correct
thank you
Answer:
x=75°
Step-by-step explanation:
the angle that is 105° and the angle that is x makes a co interior angle.
the two angles belonging to that co interior angle will always add up to 180°.
so in this case, 180° - 105° = x
answer = x=75°
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?.
Answers
The shape of the cross-section resulting from the cut is Rhombus.
Given that,
All the edges of the object in the diagram are equal in length.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
We have to determine,
What is the shape of the cross-section resulting from the cut?
According to the question,
All the edges of the object in the diagram are equal in length.
The length of all edges is equal in the rhombus.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
When the midpoints of all the four sides of a rhombus are joined with each other, you will obtain a rectangle whose length and width will measure half of the value of the prime diagonal.
Moreover, the area of the rectangle formed in this case will be half of the rhombus.
Hence, The shape of the cross-section resulting from the cut is Rhombus.
For more details refer to the link given below.
https://brainly.com/question/18660021
Answer: C. A rhombus
Step-by-step explanation:
i suck at this stuff
pls help asap
ty <3
Answers
Answer:
12*2=24
Step-by-step explanation:
What is the probability of getting a number less than 4 and then roiling a 4?
Answers
well there is -4 which is the oppsite of positive 4 if that what you ment
HELP!! WITH MATH- Percent increase and decrease!! CHECK THE PHOTO! (I’LL GIVE BRAINLIEST TO THE RIGHT ANSWERS)
Answers
Answer: 1. 24
2. 32
3. 22
4. 16
5. 14
6. 34
7. 44
8. 30
9. 24
10. 50
Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest
What is the answer to 27 · 64?
Answers
Answer:
1728
Step-by-step explanation:
27
64
-----------
108
1620
1728
Answer:
1728
Step-by-step explanation:
27•64= 0108+162 =1728
Identify the domain of the exponential function shown in the following graph :
Answers
Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!
7+4(r+3)=9r-6
show work pls AND HELP ASAP
Answers
[tex] \: \: \: \: \: \: [/tex]
[tex] = \: \: \: \: r = 5[/tex]
Step-by-step explanation:
[tex]7 + 4(r + 3) = 9r - 6[/tex]
distribute 4 through the parentheses[tex]7 + 4r + 12 = 9r - 6[/tex]
add numbers[tex]19 + 4r = 9r - 6[/tex]
move the variable to the left hand side and change its sign[tex]19 + 9r = - 6[/tex]
move the constant to the right hand side and change its sign[tex]4r - 9 = - 6 - 19[/tex]
collect like terms[tex] - 5r = - 6 - 19[/tex]
calculate the difference[tex] - 5r = - 25[/tex]
divide both sides of the equation by -5[tex] = \: \: \: \: r = 5[/tex]
hope it helpsa. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?
Answers
Answer:
TICKET = $8.50POPCORN =$5.25Total money did they spent :- $8.50 + $5.25 = $13.75Step-by-step explanation:
Hope this helps you !!for example :
ticket = $5popcorn = $3each person spends = $(5+3)
=$8
four people = 8 × 4 = $32
hope it helps...!!!
there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?
Answers
Answer:
13 in12
Step-by-step explanation:
I need help long dividing this equation.
(x^2 - x +5) / (x + 1)
I already know the answer however I’m having a bit of trouble understanding how to get to it. At the second to last operation you come to,
- x^2 + 4x
- x^2 - x
= 5x
I’m having trouble understanding how you get 5x from that? Someone please help!
Answers
First, we'll look at the first term of each expression.
---x times what is equal to x^3? = x times x^2 = x^3
So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.
x^2(x + 1) = x^3 + x^2
(x^3 + 4x + 5) - (x^3 + x^2)
x^3 - x^3 = 0
0 - x^2 = -x^2
4x - 0 = 4x
5 - 0 = 5
Our new expression is -x^2 + 4x + 5.
So we again ask ourselves, x times what is equal to -x^2? = -x
-x(x + 1) = -x^2 - x
And subtract!
(-x^2 + 4x + 5) - (-x^2 - x)
-x^2 - - x^2 = -x^2 + x^2 = 0
4x - - x = 4x + x = 5x
5 - 0 = 5
Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.
Multiply, then subtract!
5(x + 1) = 5x + 1
(5x + 1) - (5x + 1) = 0
Now that we have nothing left to divide, let's go back and get our answer.
x^2 - x + 5
Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.
Hope this helps and if you have any further questions, please let me know! :)
Answer:
Step-by-step explanation:
x - 2 <--- quotient
x + 1) x^2 - x + 5 First divide x^2 by x giving x then multiply x + 1 by x:
x^2 + x Now subtract x^2 + x from x^2 - x and bring down +5:
-2x + 5 Now divide -2x by x to get -2 and multiply X+1 by -2 -2x - 2 Subtract:
7
The result is x - 2 (see above) remainder 7
or you could write it as
x - 2 + 7/(x + 1)
I’m a right or nah.
Helppp
Answers
Answer:
You are right
Step-by-step explanation:
It starts at zero and goes up. (Positive slope)
Part C
Does this curved line represent a function? If not, at what points does it fall the vertical line test?
Answers
Answer:
it is a function because it doesn't have multiple y values for each x value
-8y + 1 = -9y. solve for y.
Answers
Step-by-step:
-8y + 1 = -9y
Subtract 1 from both sides
-8y = -9y-1
Add 9y to both sides to isolate y
y = -1
8y + -1 = 9y
Reorder the terms:
-1 + 8y = 9y
Solving
-1 + 8y = 9y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-9y' to each side of the equation.
-1 + 8y + -9y = 9y + -9y
Combine like terms: 8y + -9y = -1y
-1 + -1y = 9y + -9y
Combine like terms: 9y + -9y = 0
-1 + -1y = 0
Add '1' to each side of the equation.
-1 + 1 + -1y = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -1y = 0 + 1
-1y = 0 + 1
Combine like terms: 0 + 1 = 1
-1y = 1
Divide each side by '-1'.
y = -1
Simplifying
y = -1
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
Answers
Answer:
12-4√5
Step-by-step explanation:
(√10-√2)²
(√10-√2)(√10-√2)
Foil/distribute
10-√20-√20+2
12-2√20
12-2√4*√5
12-2*2√5
12-4√5
On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.
Algebraic identities are expansion of powers of algebraic expressions.
One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
Given the question,
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]
Given the form, [tex]b - c\sqrt{5}[/tex],
On comparison,
b = 12
c = 4
Learn more about algebraic identities here
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#SPJ2
Pete sold 320 boxes of donuts with a dozen in each box. How many donuts did he sale in all?
Im not in highschool im in 5th grade btw
PLEASE HELP!!
Answers
Answer:
3840
Step-by-step explanation:
320 boxes; 12 donuts in each box
This is a multiplication problem.
320 × 12 = 3840
Answer: 3840
The diameter of the sun is about is about 1 390 000 km;
use scientific
notation to represent this diameter.
Answers
Answer:
1.39×10^6
Step-by-step explanation:
Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use
