Answer:
The correct answer is "9√2 units".
Step-by-step explanation:
The given equations are:
⇒ [tex]3x^2-y^2=3[/tex]...(equation 1)
⇒ [tex]y+x-5=0[/tex]...(equation 2)
According to the 2nd equation, we get
⇒ [tex]y+x-5=0[/tex]
⇒ [tex]y=5-x[/tex]
On substituting the value of "y" in the 1st equation, we get
⇒ [tex]3x^2-y^2=3[/tex]
[tex]3x^2-(5-x)^2=3[/tex]
[tex]3x^2-(25+x^2-10x)=3[/tex]
[tex]2x^2+10x-28=0[/tex]
On taking common, we get
[tex]x^2+5x-14=0[/tex]
On applying factorization, we get
[tex]x^2+7x-2x-14=0[/tex]
[tex]x(x+7)-2(x+7)=0[/tex]
[tex](x+7)(x-2)=0[/tex]
[tex]x+7=0[/tex]
[tex]x=-7[/tex]
or,
[tex]x-2=0[/tex]
[tex]x=2[/tex]
Now,
The points are:
(-7, 12) = (x₁, y₁)
(2, 3) = (x₂, y₂)
By using the distance formula, the length of chord will be:
= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
On substituting the values in the above formula, we get
= [tex]\sqrt{(2-(-7))^2+(3-12)^2}[/tex]
= [tex]\sqrt{(9)^2+(-9)^2}[/tex]
= [tex]\sqrt{81+81}[/tex]
= [tex]9 \sqrt{2}[/tex] units
HELP PLS ANSWER THIS CORRECTLY PLEASE YOU'LL GET 50+ BRAINLIEST POINTS AND CROWN BRAINLIEST PLEASE
Answer:
Susie is correct because the function is y = x²
he sum of two numbers is 43 and the difference is 5. What are the numbers ?
Answer:
24,19
Step-by-step explanation:
24+19=43
24-19=5
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
1 and 3, 2 and 4, 1 and 2, 3 and 4
5 and 7, 6 and 8, 5 and 6, 7 and 8
Step-by-step explanation:
What is the area of the shaded sector?
Answer:
24 pi
Step-by-step explanation:
A= n/360(pi r^2)
A= 135/360(pi)(8^2)
A=135/360(64)(pi)
A= 24 pi
Use the table to write a linear function that relates y to x .
y=
Answer:
y= -1/4x
Step-by-step explanation:
In the context of temperature, what would -4 degrees celsius describe?
A.4 degrees above freezing
B.4 degrees below freezing
C.-4 degrees
D.4 degrees below sea level
Of all the registered automobiles in a city, 8% fail the emissions test. Eleven automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly three of them fail the test. The probability that exactly three of them fail the test is . Part 2 of 4 (b) Find the probability that fewer than three of them fail the test. The probability that fewer than three of them fail the test is
Answer:
Step-by-step explanation:
Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(1,0.001)N(1,0.001) distribution. The specifications allow slot widths between 0.999750.99975 and 1.000251.00025. What proportion of slots meet these specifications
Answer:
The answer is "15.85%"
Step-by-step explanation:
The complete question is defined in the attachment file please find it.
Given:
[tex]\mu = 1\\\\\sigma = 0.001 \\\\[/tex]
Converting the Standard Normal:
[tex]\to P(X < x) = P( Z < \frac{( X - \mu )}{\sigma} )\\\\\to P ( 0.9998 < X < 1.0002 ) = P ( Z < \frac{( 1.0002 - 1 )}{0.001}) - P ( Z < \frac{( 0.9998 - 1 )}{0.001})\\\\[/tex]
[tex]= P ( Z < 0.2) - P ( Z < -0.2 )\\\\= 0.5793 - 0.4207\\\\= 0.1585\\\\= 15.85\%\\\\[/tex]
Find the volume. Round to the tenth place if appropriate. *
7 cm
20 cm
Evaluate the six trigonometric functions of the angle 0
7
5
sin =
csc =
cos =
sec 0 =
tan A=
cotA=
Answer:
sin=The sin of an acute angle is defined in the context of a right triangle.
csc= The length of the hypotenuse divided by the length of the side opposite the angle.
cos= The length of the adjacent side divided by the length of the hypotenuse.
sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.
tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.
Step-by-step explanation:
what is the MEAN of 75, 85, 95, 105
Answer:
90
Step-by-step explanation:
75+85+95+105=360
360/4=90
3.The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is NOT pearl?
Answer:
1_2/3
=1/3 or 0.33
Step-by-step explanation:
Probability is not more than 1..
Combine like terms in order to simplify the
expression below.
15 - 5y - 5 + 3y
Someone help me please
Answer:
A
Step-by-step explanation:
The answer is A ,that's how the equation is.
Solve equation
r/3-4=11
r = 45
r = 35
r = 33
r = 28
Answer:
r=-11
Step-by-step explanation:
Please help I’ll give points + brainalist
Evaluate the radical expression. Express your answer in simplified form. If the expression does not represent a real number, indicate, not a real number.
Answer:
-10
Step-by-step explanation:
Answer:
- 10
Step-by-step explanation:
- √100
= - 10
( - 10 is a real number )
pls help :p i’m stuck
Answer:
x = 7
Step-by-step explanation:
Answer:
x= 1
Step-by-step explanation:
Add four to both sides of the equation:
10x-4+4 = 2x+4+4
Simplify:
10x = 2x+8
Subtract 2x from both sides:
8x = 8
Cancel out terms:
x=
Simplify:
x=1
Rewrite as an exponential equation.
In7 = y
wrong its c or 15.00$
Answer:
oopssss
Step-by-step explanation:
A triangle has two sides that measure 5 cm and 7 cm. Select all of the following that could be the measure of the third side.
a
1 cm
b
4 cm
c
7 cm
d
11 cm
e
13 cm
f
15 cm
Answer:
4 cm, 7 cm, 11 cm
Step-by-step explanation:
The sum of two shorter sides of a triangle is always greater than the larger side.
1 cm + 5 cm < 7 cm ( can't be the third side )
5 cm + 4 cm > 7 cm ( can be )
5 cm + 7 cm > 7 cm ( can be )
5 cm + 7 cm > 11 cm ( can be )
5 cm + 7 cm < 13 cm ( can't be )
5 cm + 7 cm < 15 cm ( can't be )
B) Find the value of a^2 + b^2 when a = 3 and b= -2
Answer:
13
Step-by-step explanation:
a = 3
b = -2
a² + b² = 3² + (-2)²
= 9 + 4
= 13
Answer:
a) 11
b) 13
Step-by-step explanation:
a) 1 + 2(5) = 11
b) 3² + (-2)² = 9 + 4 = 13
The point (2, 1) is on the line given by which equation below? A. y=x+1 B. y = 2x C y = 1/2x D. Y = -2x
Answer:
C. y = 1/2x
Step-by-step explanation:
We can check to see which of the equations passes through (2,1) by substituting the point's x and y values into the options, then checking to see if the result is a true statement.
Let's try this with option C, [tex]y = \frac{1}{2} x[/tex]. To substitute the x and y values of (2,1) into the equation, substitute 2 for [tex]x[/tex] and 1 for [tex]y[/tex]. Then, solve:
[tex]y = \frac{1}{2} x\\\\1 = \frac{1}{2} (2)\\1 = 1[/tex]
1 does equal 1, so the result is a true statement. Option C is the answer.
A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.
Answer:
s=9
Step-by-step explanation:
8s=72
Divide 72 and 8
s=9
Step-by-step explanation:
Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8=9feet
B 1. Inscribe a circle in triangle ABC
Answer:
The circle should appear inside the triangle.
Find all the real zeros of the function
Answer:
B
Step-by-step explanation:
y = -9x - 1
You need a value that will make y = 0
-9x - 1 = 0 Add 1 to both sides
-9x = 1 Divide by - 9
x = 1/-9
The answer is B
Guys can you please help me. If you guys see this guy and tells you to download stuff and gives you link dont trust them there a hacker his name is( Alan890426 )
Answer: ill take care of him
Step-by-step explanation:
An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answer:
it takes 3 hour
Step-by-step explanation:
ypir welcome
Please help!!!! I’ll give you best answer!!!
Solve the equation by completing the square
10 points
4) v2 + 16v + 35 =-4
A) {-16 + V217, -16 - V217)
B) -3, -13
C) 7+ V71,7 – V71)
D) -8,-10
Answer:
Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
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HELP JIMTHOMPSON5910
13. To ride a roller coaster, you must be 48 inches tall. There are 30.48 centimeters in 1 foot. Approximately how many centimeters is 48 inches? Round to the nearest whole centimeter.
14. A water cooler contains 240 cups of water. One gallon is equal to approximately 3.8 liters. About how many liters of water are in the water cooler? Round to the nearest whole liter.
15. A billboard is 6 meters long. One centimeter is approximately 0.39 inch. About how long is the billboard in inches? Round to the nearest whole inch.
Answer:
13- pretty sure its 122
14- 58
15- i think its 236?
Problem 13
Answer: 122 cm------------------
Explanation:
It's not mentioned, but keep in mind that 1 foot is equivalent to 12 inches. This means that 48 inches is equal to 48/12 = 4 feet. So you must be 4 feet tall, or taller, to be able to ride the roller coaster.
To convert this to centimeters, we multiply by 30.48 to get 4*30.48 = 121.92 cm, which then rounds to 122 cm
==========================================================
Problem 14
Answer: Approximately 57 liters------------------
Explanation:
1 gallon = 16 cups
Note how 240/16 = 15, which means we can multiply both sides of that equation above by 15 and we end up with
15*(1 gallon) = 15*(16 cups)
15 gallons = 240 cups
The water cooler is 15 gallons.
Multiply this by 3.8, since there are about 3.8 liters per gallon, and we end up with the answer of 3.8*15 = 57 liters
This answer is approximate since the 3.8 was approximate.
==========================================================
Problem 15
Answer: Approximately 234 inches------------------
Explanation:
1 meter = 100 cm
6 meters = 600 cm (multiply both sides by 6)
1 cm = 0.39 inches
600*(1 cm) = 600*(0.39 inches)
600 cm = 234 inches
This answer is approximate because the 0.39 was approximate.