The line 2x +3y = 1 is tangent to 4x^2 -9y^2 = 19
:
Solve the linear equation for y
:
1) y = -2x/3 +1/3
:
substitute for y in the equation of the hyperbole
:
4x^2 -9(-2x/3 +1/3)^2 = 19
:
4x^2 -9(4x^2/9 -4x/9 +1/9) = 19
:
4x^2 -4x^2 +4x -1 = 19
:
4x -20 = 0
:
4x = 20
:
x = 5
:
use equation 1 to get the value of y
:
y = -2(5)/3 +1/3 = -3
:
******************************************************************
solution is x = 5, y = -3 which is the point (5, -3)
:
check the solution
:
hyperbole
:
4(5^2) -9(-3)^2 = 19
:
100 -81 = 19
:
19 = 19
:
Line
:
2(5) +3(-3) = 1
:
10 -9 = 1
:
1 = 1
Mark as brainlist
Given:
a) the ray GH bisects FGI
b) FGH = (3x - 3)
c) HGI = (4x - 14)
Solve for x.
sorry for blur but please help
Answer:
0 => -5
1 => -3
2 => 3
3 => 13
Step-by-step explanation:
No worries! To fill the table, we need to take the x values and insert them for the f(x) value.
The equation we're given is
f(x)=2x²-5
Starting with 0, we have
2(0)²-5
0²-5
0-5
-5
If we repeat for the rest of the values, we get the f(x) values listed above.
please help solve this problem
Answer:
answer iss ( -2 , 0 )
Step-by-step explanation:
What is the value of x?
answer is x=13
sorry I had to get something for my mum
4. What is the volume of the cone shown below?
Round to the nearest tenth.
5 ft.
d = 2 ft.
Answer:
5.2 cubic ft
Step-by-step explanation:
took the test
The volume of given cone is 5.23 cubic feet.
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cone[tex]v = \frac{1}{3} \pi r^{2} h[/tex]
where,
v is the volume of cone
r is the radius of cone
h is the height of cone
According to the question we have
Diameter of cone is 2ft
⇒ radius of the cone = [tex]\frac{2}{2} = 1 feet[/tex]
Height of the cone is 5ft.
Therefore,
The volume of the cone = [tex]\frac{1}{3}(1)\pi( 1)^{2} (5)[/tex]
Volume of cone = [tex]\frac{1}{3} (3.14)(1)(5) = 5.23 cubic feet[/tex]
Hence, hence the volume of given cone is 5.23 cubic feet.
Learn more about the volume of cone here:
https://brainly.com/question/1984638
#SPJ2
simple question but struggling a bit :)
Answer:
96
Step-by-step explanation:
5/5= 120
5/5-1/5=4/5
4/5= 120÷5×4
=96
What is the value of tan(60°)?
를
12
1300
B
600
Answer:
Step-by-step explanation:
tan (60)=(sin 60)/cos 60=(√3/2)/(1/2)=√3≈1.732
The value of expression tan 60° is,
⇒ tan 60° = √3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find the value of expression tan 60°
Now, We can find the value of expression as;
⇒ tan 60°
⇒ sin 60° / cos 60°
⇒ (√3 / 2) / (1 / 2)
⇒ √ 3
Thus, The value of expression tan 60° is,
⇒ tan 60° = √3
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
A 150-gram bag of berries is a mixture of raspberries and blueberries. If 80% of the bag is raspberries, how many grams of blueberries are in a bag?
Answer:
30g
Step-by-step explanation:
Since the bag is a total of 150 grams...
100% = 150
1% = 150 ÷ 100 = 1.5
Find out 80% of the bag which is finding out how many raspberries there are in the bag.
80% = 1.5 x 80 = 120
The remaining in the bag out of the raspberries is the berries.
150 - 120 = 30 (berries)
can someone find the area please?
Answer:
16
Step-by-step explanation:
i think
Answer:
7.348469228
Step-by-step explanation:
34+24+50=108
108/2=54
then you take 54 and minus each side like 54-34,54-24 and 54-50 then square root the final solution.
hope this help:)
Triple the sum of 33 and 27
hi i need help with something, tysm
Answer:
Step-by-step explanation:
y=-3/2x+5
May someone please help me?
Answer:
the first one is 21,24, i think i dont know though
Step-by-step explanation:
Answer:
-86 for number 2, and -22 for number 3
Step-by-step explanation:
can u pls help me with this question asap
Answer:
a
Step-by-step explanation:
Juan and Rob are selling cookie dough for a school fundraiser. Juan has ttt cookie dough orders, and Rob has 404040 cookie dough orders. They have a total of 757575 cookie dough orders all together.
Write an equation to describe this situation.
How many cookie dough orders does Juan have?
Juan has 35(t) cookie dough orders.
75(Overall) - 40(Rob's) = 35(Juan's)
Answer:
35
Step-by-step explanation:
t+40=75
please help i have no clue
Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
I have a math test today and this is the only question I didn’t really understand-
Answer:
you cant put test questions on here
Step-by-step explanation:
Moms car is 180 inches long. Dads truck is 75% longer than moms car. How long is the truck?
I need helping factoring 5p^2-6p-8=0
Answer:
p= -4/5 or p=2
Step-by-step explanation:
Factor left side of equation.
(5p+4)(p−2)=0
Set factors equal to 0.
5p+4=0 or p−2=0
Which equals :
p= -4/5 or p=2
Well, *clicks tounge* didn’t expect to be awake late, but time flies when your crying and panicing. :)
Answer: The first two
Step-by-step explanation:
Third times the charm. I really forgot to add the attachment when i asked this q the second time. Ples show work
Answer:
I really have no clue
Step-by-step explanation:
comment to this answer with the answer
What is the slope of a line parallel to a line with slope of 9
Answer:
slope of 9
Step-by-step explanation:
parallel means never touching, so it would have the same slope.
Hope this helps!
find the slope of the blue line
Oliver had $43. On his birthday, he
received $25. Write and solve an
equation to find how much money Oliver
has now.
Answer:
43 + 25 = x
x = 68
Answer:
43+25=y
68=y
Step-by-step explanation:
Help with this question for points please
Answer:
well i know its not C
Step-by-step explanation:
Write a function in terms of t that represents the situation.
An item costs $4.50, and its price increases by 3.5%
each year.
Answer:
4.5(1.035)^t
Step-by-step explanation:
An inrease of 3.5% means that each year's total is 103.5% of the year before, right?
Year 1 = 4.5(1.035) = 4.66
Year 2 = 4.66(1.035) = 4.82
etc.
So, year 2 is 4.5(1.035)(1.035) = 4.82
Multiplying something by itself can be written with an exponent instead, so 2 years is...
4.5(1.035)2
Since the number of years is the variable (let's call it t)...
what is value of p=0.5t+1 ?
Answer:
that value is I'm think it's 6
I WILL GIVE BRAINLIEST AND 80 POINTS IF YOU GET IT RIGHT
Answer:nice!
Step-by-step explanation:
Factor the following polynomial
m3 - m2 + 2m - 2
PLEASE HELP ME ASAP with these
1. A restaurant bill, b, is $21. You leave a 15% tip. How much do you pay including the tip?
O $3.15
O $21.15
O $24.15
O $39.00
Answer:
The answer is $24.15 dollars. (Including Tip)
Step-by-step explanation:
First you find out what 15% of 21 is.
21 * 15% = 3.15
Next we add.
21 + 3.15 = 24.15
So, the answer is 24.15
Hope this helps! :)
Chelsea shows her work in finding the solution to 4x−5=2+3(x−3). After checking her answer in the original equation, she found that it did not work. Where did she make a mistake?
quita los paréntesis: 4x-5=2+3(x-3) multiplica paréntesis X3, elimina el paréntesis: 4x-5=2+3x-9 calcule: 4x-5= -7+3x mueve los términos y te quedará así: 4x-3x-5=-7
agrupe los términos semejantes: x=-7+5
calcular la suma, y el resultado final sería: x= -2
Step-by-step explanation:
espero te sirva