Answer:
y = 14/3 and 2
x = -13/3 and 1
(-13/3, 14/3) and (1, 2)
Step-by-step explanation:
[tex]x + 2y = 5 - - - (a) \\ {x}^{2} - {y}^{2} = - 3 - - - (b)[/tex]
for equation (a)
make x the subject of the formular:
[tex]x = 5 - 2y - - - (c)[/tex]
for equation (b)
[tex] {x}^{2} - {y}^{2} = - 3[/tex]
substitute for x as 5 - 2y in equation (b):
[tex] {(5 - 2y)}^{2} - {y}^{2} = - 3 \\ (25 - 20y + 4 {y}^{2} ) - {y}^{2} = - 3 \\ 25 - 20y + 3 {y}^{2} = - 3 \\ {3y}^{2} - 20y + 28 = 0 \\ (3y - 14)(y - 2) = 0[/tex]
therefore,
[tex]y = \frac{14}{3} \: \: and \: \: 2[/tex]
substitute for all values of y in equation (c):
for y = 14/3:
[tex]x = 5 - 2( \frac{14}{3} ) \\ \\ x = 5 - \frac{28}{3} \\ \\ x = - \frac{13}{3} [/tex]
for y = 2:
[tex]x = 5 - 2(2) \\ x = 5 - 4 \\ x = 1[/tex]
Answer:
(1, 2)
(-13/3, 14/3).
Step-by-step explanation:
x + 2y = 5
x² - y² = -3
From the first equation x = 5 - 2y
Substitute for y in the second equation:
(5 - 2y)^2 - y^2 = -3
25 + 4y^2 - 20y - y^2 = -3
3y^2 - 20y + 28 = 0
Factoring:-
(3y - 14(y - 2) = 0
y = 2, 14/3.
So when y = 2, x = 5 - 2(2) = 1.
When y = 14/3, x = 5 - 2(14/3) = -13/3.
Checking the results in the second equation:
(1, 2):-
1^2 - 2^2 = -3 Correct.
(-13/3, 14/3):-
(-13/3)^2 - (14/3)^2 = -3 Correct.
Find seven ordered pairs to the equation y=x^2-4
Answer:
(1,-3)
(2,0)
(3,5)
(4,12)
(0,-4)
(-1,-3)
(-2,0)
Choose the correct simplification of (9x3y2)2.
Answer:
The Correct simplification is: (3².2x³y²)
Answer:
81x^6y^4
Step-by-step explanation:
More help Pls (am also giving away points).
Answer:
Bot #11
Step-by-step explanation:
If you picked bot 12 in 5 second it produces 21 clicks which means if you add another 5 second it will be 10 second with 42 clicks. But, if you pick the bot with 17 clicks per 4 second, 8 seconds it will already be 34 clicks and 10 seconds half of 17 is 8/5 which in 10 seconds it produces 42.5 which shows the first bot produces more.
I need help with this question.
Answer:
If I had guess, always equal since absolute numbers are always positive.
What is six hundred five thousand, five hundred written in standard form
605,500 in the standard form is 6.055 × 10^5
Pls help I’m having trouble
Answer:
find the area of each side of the shapes and add make sure it's in square centimeters
- Is this a function? Why or why not?
Independent
Variable
Dependent
Variable
3
6
4
15
+8
12
14
agen 20
22
11
asking for
9514 1404 393
Answer:
a) yes (a function)
b) no (not a function)
Step-by-step explanation:
A functional relationship will have only one value of dependent variable for each value of independent variable. That is, the column on the left can only have one arrow tail per item.
__
a) is a function. Each independent variable maps to one dependent value
b) not a function. Independent variable values 7 and 30 map to two values each.
Convert 99000 milligrams into pounds. Round your answer to the nearest hundredth.
Answer:
0.22
Step-by-step explanation:
Which equation represents a population of 250 animals that decreases at an annual rate of 21% ?
A. p = 250(1.21)
B. p = 250(1.79)
C. p= 250(0.79)
D. p=250(0.21)
Answer: Choice C. p = 250(0.79)^t
Work Shown:
p = a*b^t
p = a*(1+r)^t
p = 250*(1+(-0.21))^t
p = 250(0.79)^t
Note that r = -0.21 is negative to indicate we have exponential decay.
ANYONE KNOW HOW TO DO THIS IM BEGGING
Find the 14th term of the geometric sequence 2,4,8
16348
The pattern is times 2
2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384
Find X and Y. Please Help I will reward you with 95 points
Answer:
45° and 20°Step-by-step explanation:
2x is supplementary with the right angle and 3y is supplementary with 6y, as same side interior angles.
Therefore:
2x + 90 = 1802x = 90x = 45And
3y + 6y = 1809y = 180y = 20[tex]\\ \rm\longmapsto 2x+90=180[/tex]
[tex]\\ \rm\longmapsto 2x=180-90[/tex]
[tex]\\ \rm\longmapsto 2x=90[/tex]
[tex]\\ \rm\longmapsto x=90/2[/tex]
[tex]\\ \rm\longmapsto x=45°[/tex]
Now
[tex]\\ \rm\longmapsto 3y+6y=180[/tex]
[tex]\\ \rm\longmapsto 9y=180[/tex]
[tex]\\ \rm\longmapsto y=180/9[/tex]
[tex]\\ \rm\longmapsto y=20[/tex]
*7th grade math* ts confusing yall.
Help please !!!!!!!!!!
Answer:
Solving for x:
x= -y-5
Solving for y:
y= -x-5
Step-by-step explanation:
simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you
Answer:
[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]
Step-by-step explanation:
Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].
Please help asap thank you! I'll mark brainlyest
Answer:
3
Step-by-step explanation
add all of the numbers then divide by the amount the numbers you added
in this situation it is 1+2+3+4+5=15 divided by 5 equals 3. Hoped this helped. pls give brainliest
Compare -3 and -5 using <,>, Or =
The circle has center O. Its radius is 9 ft, and the central angle a measures 50°. What is the area of the shaded region?
Give the exact answer in terms of it, and be sure to include the correct unit in your answer.
Answer:
35.34305555555
Step-by-step explanation:
You must calculate the percentage taken out of the circle by the shaded region. This would be about 13.8%. Then you take the overall area of the circle and multiply it by the percentage. This should give you your answer.
REMEMBER TO ROUND IF YOU ARE SUPPOSED TO, THERE IS NO INDICATION ON BRAINLY. WITHOUT ROUNDING YOU CAN GET THE ANSWER WRONG.
what does equal
(27/64)-2/3=
Find the value of x and QR if Q is between P and R.
PQ=2x
QR=x + 2
PR= 5x -10
Answer:
2x+x+2=5x-10
3x+2=5x-10
-3x -3x
2=2x-10
+10 +10
12=2x
2x/2=x 12/2=6
x=6
QR=x+2
6+2=8
QR=8
The value of x is 6 and the value of QR will be 8 units.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that the value of x and QR if Q is between P and R.
PQ=2x
QR=x + 2
PR= 5x -10
The value of x will be calculated as below:-
2x+x+2=5x-10
3x+2=5x-10
2=2x-10
12=2x
x = 12 / 2
x =6
The value of QR will be calculated as below:-
QR=x+2
6+2=8
Therefore, the value of x is 6 and the value of QR will be 8 units.
To know more about line segments follow
brainly.com/question/2437195
#SPJ2
Solve this please, I can't understand the question, so the answer with the working would be appreciated.
The pyrite cube is, well, a cube, so it has a side length s such that the area of its base is
s ² = 5.76 cm²
which means
s = √(5.76 cm²) = 2.4 cm
Then its volume is
s ³ = 13.824 cm³
Pyrite is also known as "fool's gold" because it looks a lot like gold. So if gold has a unit price of €785/cm³, then a pyrite cube with volume 13.824 cm³ could be mistaken for a gold cube of the same volume, which would sell for a price of
(€785/cm³) × 13.824 cm³ = €10,851.80
Its midpoint please help
Answer:
[tex]thank \: you[/tex]
There is a vent diagram - it asked 30 students if they have a cat or dog. 21 have a dog. 16 have a cat. 8 have a dog, but not a cat. How would I put this on a two circle Venn diagram?
dog intersect cat = 13
only cat= 3
what is the midpoint of (4,5) and (9,17)
Answer:
Step-by-step explanation:
Midpoint formula: ( (x1+x2)/2, (y1+y2)/2)
where (x1, y1) and (x2, y2) are our points
Let (x1, y1) = (4, 5)
and (x2, y2) = (9, 17)
x1 = 4
x2 = 9
y1 = 5
y2 = 17
Then ( (4+9)/2, (5+17)/2 ) = (13/2, 22/2) = (13/2, 11)
-11+x(-7) when x= 4
Please help ASAP
Step-by-step explanation:
-11+x(-7)
when x= 4, then
-11+x(-7)
-11+4(-7)
-11+(-28)
-11-28
-39
A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 7%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
area after 8 years is 2156km²
Step-by-step explanation:
Area of forest=4900 km²
decrease in area in 1 year=4900km² × 7%
decrease in area in 1 year= 343km²
decrease area in 8 years=343km² × 8
=2744km²
Remaining area= (4900-2744)km²
=2156km²
Note:If you have any question about it please ask.
Given m||n, find the value of x.
+
mm
(6x-20)
(6x-4)
PLS HELP ASAP
Answer:
17°
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Answer:
x=17
Step-by-step explanation:
The angles add to 180
6x-20 + 6x-4 = 180
Combine like terms
12x -24 =180
Add 24 to each side
12x = 180+24
12x = 204
12x/12 = 204/12
x =17
**3. What is the y-intercept of the line that has a slope of
-4 and passes through the point (4, -6)?
Answer:
10
Step-by-step explanation:
We'll first write in point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is our point and m is our slope.
Then convert into slope-intercept form to make it easier to find the y-intercept.
y - (-6) = -4(x-4)
y + 6 = -4(x-4)
y + 6 = -4x + 16
y = -4x + 10
Now that we've put the equation in slope-intercept form, we see that our b-value
y = mx + b
b = 10, so our y-intercept is 10
john has a mass of 54 kg ,60grams. how many grams is that
Answer:
54,060g
Step-by-step explanation:
1kg=1000,
therefore 54kg= (54x1000)
= 54000+60
= 54060g
Can you solve this? step by step ,if possible
Answer:
Ans:
Step-by-step explanation:
Let, the required number=n
Then, That number is actually n(n-1)
For e.g 8(8-1)=56 divided by 8=7
You Understood it.