Answers
Answer:
Step-by-step explanation:
y = (x-3)²-1
This is the equation for an up-opening parabola with vertex (3,-1).
Find the x-intercepts:
0 = (x-3)²-1
(x-3)² = 1
x-3 = ±1
x = 4, 2
The graph crosses the x-axis at (4,0) and (2,0).
Find the y-intercept:
y = (0-3)²-1 = 8
The graph crosses the y-axis at (0,8).
Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.
Related Questions
If sin (x) =2/5 and tan(x) > 0, what is sin(2x)?
Answers
Answer:
sin2x = [tex]\frac{4\sqrt{21} }{25}[/tex]
Step-by-step explanation:
Given sinx = [tex]\frac{2}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
Then the third side, the adjacent is found using Pythagoras' identity, that is
adj² + opp² = hyp²
adj² + 2² = 5²
adj² + 4 = 25 ( subtract 4 from both sides )
adj² = 21 ( take the square root of both sides )
adj = [tex]\sqrt{21}[/tex] , then
cosx = [tex]\frac{adj}{hyp}[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]
Using the double angle identity
sin2x = 2sinxcosx
= 2 × [tex]\frac{2}{5}[/tex] × [tex]\frac{\sqrt{21} }{5}[/tex]
= [tex]\frac{4\sqrt{21} }{25}[/tex]
On a coordinate plane, a point is at (1, 2) and (5, 2). Find the distance between (1, 2) and (5, 2). The points lie in the same quadrant . The distance is .
Answers
Answer:
The points lie in
✔ the same quadrant
The distance is
✔ 4 units
Step-by-step explanation:
the same quadrant
4 units
The distance between the two points (1, 2) and (5, 2) is 4 units. And both the points (1, 2) and (5, 2) lie in the same quadrant.
What is Distance between the two points?Distance between two points is the length of the line segment that connects two given points.
Formula for the distance between two points[tex]d = \sqrt{(x_{2}-x_{1} ^{2}) +(y_{2}-y_{1} ) ^{2} }[/tex]
According to the given question
We have
Two points
(1, 2) and (5, 2)
Let,
[tex](x_{1},y_{1}) = (1, 2)[/tex]
And, [tex](x_{2},y_{2} ) = (5,2)[/tex]
Therefore,
The distance between the points (1,2) and (5, 2)
= [tex]\sqrt{(5-1)^{2} +(2-2)^{2} }[/tex]
[tex]=\sqrt{(4)^{2}+0 }[/tex]
[tex]=4[/tex] unit.
Hence, the distance between the two points (1, 2) and (5, 2) is 4 units.
Since, the x coordinate and y coordinate of both the points (1,2) and (5, 2) are positive. Therefore, they both lie in the first quadrant. Hence, the points lie in the same quadrant.
Learn more about distance between the two points here:
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stannis wrote a test that was out of 972. he got 6% of the questions wrong. how many wrong answers did he get
Answers
yoo hii, could yall please help me!!
Answers
2. B. x=6
Rewrite, if it helps, grouping like terms
12x - 3x -6 + 4
9x -2
For the second problem, the answer is B
-2x + 15 + 7x = 45
5x = 30
x = 6
i dont get this pls help with steps asap!
Answers
Answer:
2.5
Step-by-step explanation:
it's the midpoint of XZ
choose the graph that solves system of equations.y=2x-6 y=-4x+3
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
You have to solve the problem \frac{3}{4}-\frac{1}{8} 4 3 − 8 1 . After you make the denominators the same, what do you do?
FOR ALL MY POINTS
Answers
Answer:
If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other
ex. 1/2 - 1/3
make a common denominator (or find the least common multiple)
3/6 - 2/6
subtract the numerators
take 2 from 3 and put that on top.
Solution 1/2-1/3= 3/6-2/6= 1/6
Help.Find the length of y
Answers
Hello! It would help a lot if I had assistance with this question:
Answers
Answer:
Simplest form
whoever knows how to solve this please help!
Answers
Answer:
418ft²
Step-by-step explanation:
Find the surface area of both triangle shaped sides.
8 * 12 = 96
96 / 2 = 48 (surface area of one triangular side)
48 * 2 = 96
Find the surface area of both square shaped sides.
10 * 10 = 100
100 * 2 = 200
Find the surface area of the rectangular base side.
12 * 10 = 120
Add everything together.
96 + 200 + 120 = 418
Best of Luck!
A student received a coupon for 17% off the total purchase price at a clothing store. Let c be the
original price of the purchase. Use the expression below for the new price of the purchase. Write an
equivalent expression by combining like terms.
Answers
When you write “c” at the start, or x or whatever, it has an understood (invisible) number 1. So you’re subtracting the decimal on the next variable from 1.
Are these two triangles congruent? *
Answers
Answer:
not congruent because none of the angles match
Answer:
Not Congruent
Step-by-step explanation:
No.
Two corresponding sides measure 8 and 4.
The other two corresponding sides measure 7 and 3.5.
In order to be congruent, each pair of corresponding sides has to be congruent.
Math problem please help
Answers
Answer:
The second one and the last one
Step-by-step explanation:
The third quadrant is of all negitive. The reason it is, is because it is on the left side of the x axis which makes it go lower like subtracting and dividing, then it is on the bottom half of the y axis which again is the same reason
i hope i helped and have a great day!
Answer:
B and D
Step-by-step explanation:
because in the 3rd quadrant both the x and y will be negative
1st quadrant all x and y are positive
2nd quadrant y are positive but x are negative
and in 4th quadrant x are positive and y are negative.
if brainiest is earned its greatly appreciated
Find the area of the triangle.
Answers
explanation: a= 8(7)/2 = 28
hope this helps :)
Find the mean of 8, 6, 2, 4 graphically.
Answers
Answer:
5
Step-by-step explanation:
What is the value of the number? -(-6)?
Answers
Answer:
6
Step-by-step explanation:
-(-6)=6
helppp!
(7&8)Question 7 (1 point)
Susie has a bag of marbles of equal size in a bag. There are 8 blue marbles, 2 yellow marbles, and 5 red marbles. If she closes her eyes and
pulls out a marble at random, what is the probability the marble will be blue?
The probability Susie will pull a blue marble is
__%
Blank 1:
Answers
8: is about 16.3 percent in fraction 4/24 or 1/6
Find the sum.
3/7+-1/7
Answers
Answer:
2/7
Step-by-step explanation:
set the equation as 3/7-1/7
by adding a negative to a positive you're subtracting
Answer:
2/7
Step-by-step explanation:
adding a negative is the same thing thing as subtracting a positive
so
3/7 + (-1/7) = 3/7 - 1/7 = 2/7
1. In the expression x2, 2 is what we call
A. Base
B. Exponent
C. Multiple
Answers
Answer:
hello! if you're talking about x², then 2 is what we call: B. Exponent.
A sphere has a radius of 4. what is the volume of the sphere? show your answer in terms of pi. I've been stuck on this for 4 days and I can't get it.
Answers
Answer:
ok let me help
Step-by-step explanation:
v=268.08 sooo
r(radius) which is 4
v=4/3 n r³ =4/3×n×4³ = 268.08
Answer:
(256/3)π or 85.33π
Step-by-step explanation:
The equation for volume of a sphere is 4/3πr^3 where r = the radius
So the volume of the sphere in terms of pi would be
4/3(π)(4)^3
(4/3)(64)π
4 x 64 = 256
256/3 = 85.33
In terms of pi the answer is (256/3)π or 85.33π
1. The following triangle has an area of 15.75 cm". What is the value of 2? 7 cm 4.5 cm 3.75 cm 1.125 cm 2.25 cm
Answers
Triangle QRS has the angle measures shown.
m∠Q = (1x)°
m∠R = (3x)°
m∠S = (6x)°
The measure of the obtuse angle equals
(108°.)... :)
There are sixteen girls and twelve boys in block 7 math. At that rate, how many
girls would you expect in a group with two hundred ten boys?
Answers
Answer:280
Step-by-step explanation:
If the main group is a ratio of girls to boys 16:12 and the 12 is increased to 210 then do 210/12=17.5 and multiply the 17.5 by 16 to get 280
A baseball player earns $3 million in 2015. During the next 15 years, the earnings increase 4% each year.
a. Write an exponential growth model giving the earnings y (in millions of dollars) t years after 2015. Write the base of the model as a decimal.
An exponential growth model is y=
b. In which year will the player's earnings first exceed $5,000,000?
Answers
Answer:
[tex]y=3*1.04^{t}[/tex]
in 2029
Step-by-step explanation:
[tex]y=3*1.04^{t}[/tex]
[tex]when y=5\\t=\frac{ln(5/3)}{ln(1.04)} =13.02 ..[/tex]
have to round it up to 14 to exceed
please help this is for a grade
Answers
Answer:
8.91
Step-by-step explanation: I hope this helps, I used my calculator to solve this for you, it is too complicated to explain.
Answer:
Step-by-step explanation:
((4x2.76)-1)÷2=5.02
Donna paid $3 to rent shoes and then $1 for each game she played at a bowling alley. She spent a total of $8 at the bowling alley.
Which equation can be used to find the number of games Donna played?
Answers
Answer:If shoes are for all games in row, P = 2 + 3 g If not, P = 5 g ,with g the number of games
Explanation: The price depends:if shoes are included for the whole games, you just have to pay them once and then you have to pay
g g a m e s , so P ( g ) = 2 + 3 g Else, you have to pay g s h o e s and g b o w l p a r t y ,so
P ( g ) = 2g + 3 g⇔ P ( g ) = 5 g
Hope this helped hope you get a good score on your assignment/test/quiz/homework-Tay did this
What expression is equivalent to 1/3 x -1/5
Answers
if a function f(x)=x^3 has the domain {-3,0,2,4} what is it's range
Answers
All u need to do is cube all the numbers in the domain
Step-by-step explanation:
Range is y-values
= {-27,0,8,64}
Can someone plz help me!!
Answers
Answer:
145°
Step-by-step explanation:
upper left angle inside triangle is 180-137, or 43°
lower right angle inside triangle is 180-(43 + 102) or 35°
'?' measures 180 - 35 which is 145°
geometry multiple choice question HELLPPP
Answers
Answer:
27/36
Step-by-step explanation:
tan C = opp/adj
For angle C, the opposite leg is 27,a nd the adjacent leg is 36.
tan C = 27/36
Answer: 27/36
Tom had 114 dollars to spend on 9 books. After buying them he had 15 dollars. How much did each book cost?
Answers
Answer:
11
Step-by-step explanation:
114-15=99
99÷9=11
