Answer:
first option
Step-by-step explanation:
Given
y = 2(x - 3)² + 1
Rearrange making x the subject
Subtract 1 from both sides
y - 1 = 2(x - 3)² ( divide both sides by 2 )
[tex]\sqrt{\frac{y-1}{2} }[/tex] = (x - 3)² ( take the square root of both sides )
± [tex]\sqrt{\frac{y-1}{2} }[/tex] = x - 3 ( add 3 to both sides )
± [tex]\sqrt{\frac{y-1}{2} }[/tex] + 3 = x
Change y into terms of x with x being the inverse, that is
[tex]f^{-1}[/tex] (x) = ±[tex]\sqrt{\frac{x-1}{2} }[/tex] + 3
PLEASE HELP MEEEEEEEEEEEEEEE
Answer:
y = √61
Step-by-step explanation:
the steps are in the pic above, stay outta drugs and pass ur tests.
What is the length of the line?
Choose 1 answer:
Answer:
√29
Step-by-step explanation:
We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:
a^2 + b^2 = c^2
2^2 + 5^2 = c^2
4 + 25 = c^2
c^2 = 29
c = √29
Since c is the hypotenuse and is the same length of the line, the line is √29 units long
Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?
Answer:
A. (x − p) (x + p) = x² - p²
B. (x – 5) (x + 7) = x² + 2x - 35
C. (x + p) (x + p) = x² + 2px + p²
Step-by-step explanation:
To find - Multiply and match each of the following expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
Proof -
A.)
The expression is - (x − p) (x + p)
Now,
(x − p) (x + p) = x(x + p) - p(x + p)
= x(x) + x(p) - p(x) - p(p)
= x² + xp - px - p²
= x² - p²
⇒(x − p) (x + p) = x² - p²
B.)
The expression is - (x – 5) (x + 7)
Now,
(x − 5) (x + 7) = x(x + 7) - 5(x + 7)
= x(x) + x(7) - 5(x) - 5(7)
= x² + 7x - 5x - 35
= x² + 2x - 35
⇒(x − 5) (x + 7) = x² + 2x - 35
C.)
The expression is - (x + p) (x + p)
Now,
(x + p) (x + p) = x(x + p) + p(x + p)
= x(x) + x(p) + p(x) + p(p)
= x² + xp + px + p²
= x² + 2px + p²
⇒(x + p) (x + p) = x² + 2px + p²
Hi! Does anyone know the answer to this question? I’m bad at geometry and I’m struggling to get the answer. Please help!
if i understand the question it's 25
Step-by-step explanation:
6/21 equal 10/10+x
info x is GJ
6x=150
x=25
i used the similarity in trangle formula because he sayed that FG is parelel to HJ
Is this a polygon or trapezoid?
Answer:
No
Step-by-step explanation:
this is my opinion so No
What is the mean? (I don’t pay attention in class).
Someone help me with this pls
Answer:
5-² is your correct answer
Answer:
=5^10/5^12
= 5^10-12
=5^-2
pleaseeeee helppppp!!!
Answer:
The answer should be 18.
Draw a scale diagram of 15 mm scale factor of 8
pleaseee help
do u want us to draw it 4 u ? cuz I can
Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3
Answer 8.1
Step-by-step explanation:
3 x 9 x 0.3 = 8.1
helppppppppp meeeeeeeeeeeee
hurry
Answer:
9 feet im pretty sure
Step-by-step explanation:
Answer:
yolo
Step-by-step explanation:
how do you give bainlist
Help plesae i have no idea of what to do thanks
Answer:
1. 5 in.
2. 12 in.
3. 3.5 in.
4. 30 ft
5. 4 m
6. 32 mm
7. 53.41 m
8. 18.85 ft
9. 87.96 in
10. 56.56 mm
11. 20.57 in
12. 25.71 yd
Step-by-step explanation:
What is the slope of the line shown?
On a coordinate plane, a line goes through (0, negative 3) and (6, 0).
Answer:
1/2
Step-by-step explanation:
Need help with this question please!!
Answer:
11.1
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]
Please i need asp this is me ether failing or passing math!!!
Answer:
Step-by-step explanation:
7=x + 2x - 5 - 58
Show work please
Answer:
x= 23.33
Step-by-step explanation:
7=x+2x-5-58
combine like terms
7=3x-63
add 63 to both sides
70=3x
divide by 3
x=23.33
will give brainliest to the correct answer (nor links or account will be reported) :)
Answer:
38, 26
Step-by-step explanation:
(x+78) + (x-12) +x = 180
3x + 66 =180
3x = 114
x = 38
P = 38-12=26
Given:BK=CH Which additional congruence statement could you use to prove that ∆BJK ≅ ∆CFH by the HL Theorem?
Answer:
B
Step-by-step explanation:
The hl theorem says that if we have two right triangles that have a congruent hypotenuse and a congruent leg, the two triangles are congruent
in this case the exercise says the two leg are congruent, so we have to say that the two hypotenuse are congruent
So
JB congruent to FC
How long could a student take to paint their canvas if they are slower than 75% of the other students?
Answer:
multiply the other kid's time by 3/4
Step-by-step explanation:
there's some info missing but hope this helps!
DETERMINE WHICH OF THE ANGLE MEASURES BELOW CORRECTLY
SATISFY THE MISSING VALUE, X, IN EACH DIAGRAM.
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
D
Step-by-step explanation:
I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.
A pizza shop is having a special on meat and
cheese pizzas. A customer may choose one of 3
different crusts, one meat topping, and one
cheese topping. There are 7 different meat
toppings and 8 different cheese toppings
available.
Part A: How many different meat and cheese
pizzas can the shop make?
Answer:
168
Step-by-step explanation:
Create an equation which contains the solution (-1,3)
Answer:
3x + y =0
Step-by-step explanation:
We need to create equation whose solution is (-1,3) . So let another point through which it passes be ( 0,0) .
Since at least two points are required for making a line .Slope :-
=> m = -1-0/3-0
=> m = -1/3
Using point slope form :-
=> ( x - x1) = m( y - y1)
=> ( x - (-1)) = -1/3( y - 3)
=> (x + 1 )3= -y + 3
=> 3x +3 = -y + 3
=> 3x + y = 0
✔️ Checking :-
(-1,3)=> 3(-1) + 3 = 0
=> -3+3=0
=> 0 = 0
• Hence the equation can be 3x + y = 0 .find the value of x. round your answer to the nearest tenth.
Answer:
The answer is A. 77.
Step-by-step explanation:
Using trigonometry formula
We know, tan = opposite/adjacent
So, tan x° = 13/3
=> x° = [tex]tan^{-1}[/tex](13/3)
∴ x° = 77.005° ≈ 77.01°
Answer:
A 77
Step-by-step explanation:
20 points! pls helppppp it's almost recognition day for me!!
I'm sorry but i'm bad at math ;-;
using the given figures, find the values of the unknown variables
(PROVING ISOSCELES TRAPEZOID)
ASAP!! ILL GIVE BRAINLEST
In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the surface areas is...
A:B
A^3:B^
A^-1:B^-1
A^2:B^2
Help please. Find the area of this circle
Answer:
8
Step-by-step explanation:
Hunter is making $46,500 per year and gets a 5.5%
increase in pay. Determine how much money
Munter makes after his increase and show your
work
Answer:
$49,057.50
Step-by-step explanation:
To find how much a percent is of a number you multiply that number and that percent then add the two
SO.... 46,500x5.5% is 2557.50 and then you add the 2 so 46,500 + 2557.50= 49,057.50 hope this helps
pls help!!! i don’t understand how to solve this
Answer:
Average velocity = 1
Step-by-step explanation:
f(3) = 3² - 3(3) + 4 = 4
f(1) = 1² - 3(1) + 4 = 2
[tex]Velocity = \frac{f(3) - f(1)}{3-1} =\frac{4-2}{3-1} =\frac{2}{2} =1[/tex]