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
:
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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
which is the graph of the linear equation Y is greater than or equal to negative X -3
Answer:
yea
Step-by-step explanation:
sally has 300 tangerines and and and 3%are Wayne's what percent does Sally have
Answer:
The answer is 97%
Step-by-step explanation:
To answer this problem you need to take the 300 tangerines, it in all that is the 100% so, now you need to take away the 3%, you are left with 97% (I hope i'm correct, sorry if i'm not)
if the original quantity is 12 and the new quantity is 15, what is the percentage increase
Answer:
25%
Step-by-step explanation:
Given data
original quantity =12
new quantity =15
% increase= new-original/original *100
% increase= 15-12/12 *100
% increase= 3/12 *100
% increase=0.25 *100
% increase=25%
hence the increase is 25%
100 POINTS 100 POINTS 100 POINTS 100 POINTS I WILL MARK BRAINLIEST
JUST ANSWER CORRECTLY THE ANSWER 12 IS WRONG PLEASE GIVE THE RIGHT ANSWER
Answer:
Step-by-step explanation:
given tanB= 4/3
so sinB=4/5
n cosB=3/5
given BC=15
BA=BC*cosB
=15*3/5
=9
AC=BC*sinA
=15*4/5
=12
Triangle ABC and DBE are similar by AAA
DB= BA-AD
=9-3
=6
DB/BA=DE/AC
6/9=DE/12
DE=12*6/9
=8
Answer:
DE = 8
Step-by-step explanation:
ΔABC and ΔDBE are similar.
As they share the same angles, the sides are in proportion to each other.
Therefore, we can solve using ratios.
Tan trigonometric ratio
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\sf \tan (B)=\dfrac{4}{3}[/tex]
Therefore:
[tex]\implies \sf \dfrac{DE}{BD}=\dfrac{AC}{BA}=\dfrac{4x}{3x}[/tex]
We know that BC = 15 and that AC : BA = 4x : 3x
Using Pythagoras' Theorem:
[tex]\implies \sf (3x)^2+(4x)^2=15^2[/tex]
[tex]\implies \sf 9x^2+16x^2=225[/tex]
[tex]\implies \sf x^2(9+16)=225[/tex]
[tex]\implies \sf x^2=9[/tex]
[tex]\implies \sf x=3[/tex]
Therefore,
⇒ AC = 4 · 3 = 12
⇒ BA = 3 · 3 = 9
Now we have found the length of BA, we can find the length of BD:
⇒ BD = BA - DA
⇒ BD = 9 - 3
⇒ BD = 6
As DE : BD = 4x : 3x and BD = 6 then:
⇒ 3x = 6
⇒ x = 2
Therefore, to find DE, substitute x = 2:
⇒ DE = 4x
⇒ DE = 4(2)
⇒ DE = 8
Juan made 3 identical necklaces each having beads and a pendent the total cost of the beads and pendent for all 3 necklaces was $19.20. If the beads cost $2.80 for each necklace, how much did each pendant cost?
Help I gave 30 points
Answer:
Step-by-step explanation:
2.80 x 3 = 8.40 so 19.20-8.40=10.8 then 10.80/3= 3.60
What is 45 to the 3rd power?
Answer:
45³ = 91,125
Step-by-step explanation:
45 to the 3rd power = 45 cubed
= 45³
= 45 x 45 x 45
= 2025 x 45
= 91,125
is this correct?
if not does anybody know which one it is
Answer:
hey, i just did this question and double checked everything and i got a different answer.
So C, =x^2−25 should be the correct one
Step-by-step explanation:
good luck on the test
Pls help
Zoom in to view
Thanks
Answer:
1. x=6 y=6
2. x=3√2 y=3
3. a=5√2 b = 5
4. u=2 v=√2
5. x=2√2 y=2
6. x=6 y=3√2
Step-by-step explanation:
help me what should i put! i’ll give brainliest
Sully has a loan which he repays every month. If the loan amount includes interest, his loan amount due, in dollars, after t years, is shown by the following expression.
7,000(0.90)^12t
Which statement below best describes the coefficient, 7,000?
A. The number of times sully repaid the loan since he began making payments
B. Sully’s initial loan amount
C. The decrease in Sully’s loan amount every month
D. The rate at which Sully repays the loan
i would say its B. The initial loan amount
Answer:
Sully's initial loan amount
edit: i accidently rated my answer as 1 star but i promise its right
Evaluate the algebraic expression x^2 - 20 for x = 7 and for x = 9
Answer:
29
61
Step-by-step explanation:
x^2 - 20
x = 7 and 9
Evaluate
___________
We know the values of x, let's substitute them with the x in the problem :
(7)^2 - 20
49 - 20
29
(9)^2 - 20
81 - 20
61
What is the equation of the line that passes through the point (5, 0) and has a
slope of -1?
Answer:
y-0= -1(x-5)
y= -x+5
x+y-5=0
Answer:
y=-x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-0=-1(x-5)
y=-x+5
(18—12)^2+(16/4)/-10+12
Find the simplest form
Hire charges for a mini bus consist of Ex fixed charge + y pence for each mile of the journey A hire for 20 miles costs £25 A hire for 30 miles costs £30. How much would a hire for 50 miles cost?
Answer:
the cost of hiring 50 miles is £55
Step-by-step explanation:
The computation of cost for hiring 50 miles is shown below:
= 20 miles cost + 30 miles cost
= £25 + £30
= £55
Hence, the cost of hiring 50 miles is £55
The same would be considered and relevant too
Solve system by elimination
9x + 3y = 24
10x - 2y = 0
Answer:
(1, 5 )
Step-by-step explanation:
Given the 2 equations
9x + 3y = 24 → (1)
10x - 2y = 0 → (2)
Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term
18x + 6y = 48 → (3)
30x - 6y = 0 → (4)
Add (3) and (4) term by term to eliminate y
48x + 0 = 48
48x = 48 ( divide both sides by 48 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (1)
9(1) + 3y = 24
9 + 3y = 24 ( subtract 9 from both sides )
3y = 15 ( divide both sides by 3 )
y = 5
solution is (1, 5 )
- 2x + 7y< -14
4x+3y> -12
Answer:
Given inequalities:
- 2x + 7y < -14 4x + 3y > -12Solution is attached
The first inequality is zone AThe second inequality is zone BIntersection of two zones is the solution: zone ABIn the figure below, find the exact value of z.
9514 1404 393
Answer:
z = 9/2
Step-by-step explanation:
The triangles in the figure are all similar, so the side lengths are proportional.
long side/hypotenuse = z/6 = 6/8
z = 36/8 = 9/2 . . . . multiply by 6
FREE BRAINLiest IF YOU ANSWER CORRECTLY!!(jwo26)
Answer:
what is the question? u do not say
Answer:
Whats the question?
Step-by-step explanation:
True or False. Shapes that have at least one right angle also have at least one pair of perpendicular lines. Explain your thinking.
Answer:
True
Step-by-step explanation:
In geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle.
Which of the following expressions give the distance between the endpoints of the segment shown on the number line below? Select all that apply
Questions:
A)|−35−(−45)|
B)|−35−45|
C)−35−45
D)|35−45|
E)|45−(−35)|
Ans
3.21343253
Step-by-step explanation:
What is the answer? Yes or no
Answer:
Yes
Step-by-step explanation:
4 is less than 9
Answer:
yes
Step-by-step explanation:
Can someone pls helppp
Answer:
yq
Step-by-step explanation:
2. Find the glven angle, to the nearest degree.
48
?
50
Answer:
46.16
Step-by-step explanation:
[tex]B=arcsin(\frac{opp}{hyp} )[/tex]
good luck, i hope this helps :)
Find the missing side Lengths.
Answer:
5.23606798
Step-by-step explanation:
what is the equation of the line that passes through the point(4,12) and has a y-intercept of -2?
Answer:
y=3.5x-2
Step-by-step explanation:
y=mx+c
12=m×4-2
add 2 on both sides
14=m×4
divide by 4 on both sides
3.5=m
y=3.5x-2
A bag contains red and green marbles of equal size. There are more red marbles than green marbles in the bag. A marble is chosen from the bag without looking. Which point could represent the probability that a red marble is chosen? A B C D E
What is the difference between largest and smallest fraction below?
1/5 7/20 3/10
Write the following equation in slope-intercept form and identify the slope and y-intercept.
X + y = 12
The equation in slope-intercept form is y =
Answer:
Your answer is
slope is -1
y intercept is 12
Hope that this is helpful. Tap the crown button, Like & Follow me
What is 75 times 4 does anyone know if they do I need a asnwer asap Please and Thank you
Answer:
75 x 4 = 300
Step-by-step explanation:
Ummmm multiplication
I need help with geometry on finding the area of the triangle or trapezoid with these three problems
Answer:
o7ddp7dp77s7ssdtldl9sp5as 8y6f9d8tzl4zl5zp6so68sp68o5s884aa4455665655666b is 45678900 is answer