Answer:
20
Step-by-step explanation:
What’s the slope of the line ? (4.5), (6,2)
Answer:
This is a negative slope.
Step-by-step explanation:
When plotting the numbers on a graph, the slope goes downhill from left to right.
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
what is 7 1/2 + (-8/9)
Answer:
i got 6.6? maybe that helps (:
Answer: 623 /18
Step-by-step explanation:
what does x equal to x/7 - 4 = -5
Answer:
x = -7
Step-by-step explanation:
So we are asked to find what x is equal to in the equation:
[tex]\frac{x}{7}-4=-5[/tex]
In other words, we are asked to solve for x.
[tex]\frac{x}{7}-4=-5[/tex]
Add 4 to both sides of the equation.
[tex]\frac{x}{7}=-1[/tex]
Multiply both sides by 7.
x = -7
So we have solve the equation for x and have found that x = -7.
I hope you find my answer and explanation to be helpful. Happy studying.
Consider the paraboloid z=x2+y2. The plane 8x−5y+z−2=0 cuts the paraboloid, its intersection being a curve. Find "the natural" parametrization of this curve. Hint: The curve which is cut lies above a circle in the xy-plane which you should parametrize as a function of the variable t so that the circle is traversed counterclockwise exactly once as t goes from 0 to 2*pi, and the parameterization starts at the point on the circle with largest x coordinate. Using that as your starting point, give the parametrization of the curve on the surface.
c(t)=(x(t),y(t),z(t)), wherex(t)=y(t)=z(t)=
Answer:
The parametrization of the curve on the surface is
[tex]c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ][/tex]
Where
[tex]x = \frac{\sqrt{97} }{2} cost - 4[/tex]
[tex]y = \frac{\sqrt{97} }{2} sint + \frac{5}{2}[/tex]
[tex]z = 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2}[/tex]
Step-by-step explanation:
From the question we are told that
The equation for the paraboloid is [tex]z = x^2 + y^2[/tex]
The equation of the plane is [tex]8x - 5y + z -2 = 0[/tex]
Form the equation of the plane we have that
[tex]z = 5y -8x +2[/tex]
So
[tex] x^2 + y^2 = 5y -8x +2 [/tex]
=> [tex] x^2 + 8x + y^2 -5y = 2 [/tex]
Using completing the square method to evaluate the quadratic equation we have
[tex](x + 4)^2 + (y - \frac{5}{2} )^2 = 2 +(\frac{5}{2} )^2 + 4^2[/tex]
[tex](x + 4)^2 + (y - \frac{5}{2} )^2 = \frac{97}{4}[/tex]
[tex](x + 4)^2 + (y - \frac{5}{2} )^2 = ( \frac{\sqrt{97} }{2} )^2[/tex]
representing the above equation in parametric form
[tex](x + 4) = \frac{\sqrt{97} }{2} cost[/tex] , [tex](y -\frac{5}{2} ) = \frac{\sqrt{97} }{2} sin t[/tex]
[tex]x = \frac{\sqrt{97} }{2} cost - 4[/tex]
[tex]y = \frac{\sqrt{97} }{2} sint + \frac{5}{2}[/tex]
So from [tex]z = 5y -8x +2[/tex]
[tex]z = 5[\frac{\sqrt{97} }{2} sint + \frac{5}{2}] -8[ \frac{\sqrt{97} }{2} cost - 4] +2[/tex]
[tex]z = 5\frac{\sqrt{97} }{2} sint + \frac{25}{2} -8 \frac{\sqrt{97} }{2} cost + 32 +2[/tex]
[tex]z = 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2}[/tex]
Generally the parametrization of the curve on the surface is mathematically represented as
[tex]c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ][/tex]
f (x) =2x -4; find f (-4)
Answer:
f(-4) = -12
Step-by-step explanation:
[tex]f(x)=2x-4[/tex]
To calculate f(-4), we need to substitute x in our equation above with -4:
[tex]f(x)=2x-4\\f(-4) = 2*(-4) - 4\\f(-4) = -8-4 = -12[/tex]
Note that 2*(-4) = -8
Answer: f(-4) = -12
Answer:
[tex] \longmapsto \: f(x) = 2x - 4 \\ f( - 4) = 2( - 4) - 4 \\ f( - 4) = - 8 - 4 \\ \boxed{f( - 4) = - 12}✓[/tex]
12 is the right answer.(BRAINLIEST AND 15 POINTS. SHOW ALL WORK) A cheetah runs at an average speed of 15 m/s in 24 seconds. What distance does the cheetah travel in this time?
Answer:
360 meters
Step-by-step explanation:
15 x 24 = 360
24 is how many seconds
The cheetah runs 15 meter PER second
Yesterday 90% of mr.smiths students passed the test if he has 60 students , how many students did NOT pass?
Answer:
6
Step-by-step explanation:
60 ÷ 100 × 90 = 54 students passed
60 - 54 = 6 didn't not pass
hope this helps!
A: 2x - 3y = 6
B: 3x - 2y = -9
C:y=-x-5
D:y= {x2
Which lines are parallel?
A)
A and c
B)
B and C
B and D
D)
A and D
strategies for rational numbers
Answer:
A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers.
Step-by-step explanation:
what are u trying to calculate?
PLEASE HELP ME!!!
As her senior project decided to raise money for charity by hosting a spaghetti dinner. In order to have the dinner she had to borrow $100 to rent the hall from her parents which they expect to get back. She’s going to make six dollars for every dinner purchased.
Part one: write an algebraic expression to describe the amount of money Julie will raise for any number of dinners purchased.
Part two: describe what variable represents in the situation.
Answer:
6x=100 that's the algebraic expression
i need help with number 19 in geometry asap.
[tex]\tt Step-by-step~explanation:[/tex]
Since we have to write an expression, it will not have an equal sign.
[tex]\tt Steps:[/tex]
LM is 3x + 5 and LN is 6x + 10. We can assume that M is the midpoint of LN because if you plug in several numbers for x (I'll do 0 and 1), we can see that LM is half the value of LN.
[tex]\tt 3(0)+5=5\\6(0)+10=10\\5~is~half~of~10,~so~that~means~MN~is~congruent~to~LM.[/tex]
[tex]\tt 3(1)+5=8\\6(1)+10=16\\8~is~half~of~16,~so~that~means~MN~is~congruent~to~LM.[/tex]
*
[tex]\large\boxed{\tt Our~final~answer:~MN=3x+5}[/tex]
*Congruent = Same shape and size
Which measurement is closest to the volume of the cone in cubic inches? 6in 16 in
Answer:
it problely 16 is close
Step-by-step explanation:
it dipens where the numeber is place at
f(x) = 2x – 2 g(x)= x² + 3x
Find (f.g) (2)
Answer: 18
Hey bud, just as a sidenote, I think you mean f(g(2)) for the question. If this was not what it meant, please take a screenshot of the question.
2^2 + 3*2 = 10
2*10 -2 = 18
What is the midpoint of P( 1,-2) and Q(2,6)
Answer:
(1.5,2)
Step-by-step explanation:
you add the x coordinates then divide them by 2
And then you add the y coordinates then divide them by 2
What is the area of a semicircle with diameter 8 cm?
The area of the semicircle is 25.133 cm².
Area of a Semicircle[tex]\rm{Area\ of\ semicircle = \dfrac{Area\ of\ Circle}{2}[/tex]
[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times r^2}{2}[/tex]
Given to us,diameter, d = 8 cm,
radius, r = [tex]\dfrac{diamter}{2} = \dfrac{8}{2} = 4\ cm[/tex]
Area of a Semicircle[tex]\rm{Area\ of\ semicircle = \dfrac{Area\ of\ Circle}{2}[/tex]
[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times r^2}{2}[/tex]
[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times 4^2}{2} = \dfrac{\pi \times 4 \times 4}{2}=8\pi\ cm^2[/tex]
Therefore, the area of the semicircle is 8π cm² = 25.133 cm².
Hence, the area of the semicircle is 25.133 cm².
Learn more about Semicircle:
https://brainly.com/question/9882703
The area of a semicircle with diameter 8cm is; 25.14cm²
Area of a semicircleThe area of a circle is given by the formula;
Area = πr²
Therefore, Area of a semicircle is;
Area = πr²/2.Since, diameter, d = 8;Radius, r = 8/2 = 4cm.Area = π(4)²/2Area = 25.14cm²Read more on area of a semicircle;
https://brainly.com/question/19581549
22.4 x 49.8 rounded to one significant figure
Answer:
1000
Step-by-step explanation:
22.4×49.8= 1115.52
one significant figure is the first number and if there is a number after it and is below 5 then the first number stays the and add a zero
Examples
15 to one significant figure =20
234 to significant figure =200
15 to two significant figure =15 it stays the same
234 to two significant figure = 230
Help me right now please!!!!❤️☺️☺️ I don’t know if it’s 19!!!
Approximately how many feet are in 5 kilometers?
Note: 2.54 cm ~1 in.
Answer:
5 kilometers is equal to about 16,404 feet.
Is this a function? HELP NEEDED ASAP WILL GIVE BRAINLIEST AND 5 STAR RATE
Answer: yes that is a function
Step-by-step explanation:
It is a function because every y value has a unique x value
Solve for a.
7a + 18 = 102
a =
On Tuesday, the Soto Salad restaurant served 6 cups of Italian salad dressing. If the restaurant cup of dressing with each salad, how many salads were ordered with Italian dressing? serves 22 24 26 28
Answer:
C. 26
Step-by-step explanation:
Can I direct you to this question? https://brainly.com/question/17618040
There seems to be typos in your question, but I'm going to assume you asked the same thing as the link mentioned above.
"On Tuesday, the Soto Salad restaurant served 6 1/2 cups of Italian salad dressing. If the restaurant serves 1/4 cup of dressing with each salad, how many salads were ordered with Italian dressing?"
To find the answer you will need to divide 6 1/2 by 1/4.
In order to do this, turn 6 1/2 to an improper fraction: 6 × 2 = 12. 12 + 1 = 13.
Now divide 13/2 by 1/4:
[tex]\frac{13}{2}[/tex] ÷ [tex]\frac{1}{4}[/tex] = [tex]\frac{13}{2}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{52}{2}[/tex] = 26
determine the slope
Answer:
25.2982212813 ft.
Step-by-step explanation:
24^2 + 8^2 = 640
square root of 640 is 25.2982212813 ft.
i can round it if you need me to but that is what it is
Find 12.48+(−10.636). Write your answer as a decimal.
[tex]\tt{Hey~there![/tex]
[tex]\tt{12.48+(-10.636)[/tex]
[tex]\tt{Remove~parenthesis:[/tex]
[tex]\tt{12.48+-10.636[/tex]
[tex]\tt{1.844[/tex]
[tex]\tt{Hope~this~helps![/tex]
[tex]\boxed{\tt{-TestedHyperr}}[/tex]
The value of the expression 12.48 + (−10.636) will be 1.844.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The expression is given below.
⇒ 12.48 + (−10.636)
⇒ 12.48 − 10.636
⇒ 1.844
The value of the expression 12.48 + (−10.636) will be 1.844.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Using Quadratic Equations to Solve Problems:
Ten times the square of a non-zero number is equal to forty times the number.
What is the number?
Answer:
4
Step-by-step explanation:
Let x represent the number. The problem statement tells us ...
10x² = 40x
x = 4 . . . . . . . divide by 10x
the number is 4. Hope that helps love!
7.) There were thirty-eight bales of hay in the barn. Dylan stacked more bales in the barn
today. There are now ninety-nine bales of hay in the barn. How many bales did he store in the
barn?
Answer:
61 bales of hay
Step-by-step explanation:
38 + 61 = 99
A chef used 1/4 cup of milk for one recipe. The she used 2 cups of milk for each of 5 more recipes. How many cups of milk did the chef use?
Answer:
10 cups of milk!
Step-by-step explanation:
chef used = [tex]\frac{1}{4}[/tex] milk
she used = 2 cups
now,
[tex]\frac{1}{4}[/tex] cups = 2 cups
again,
milk used by chef= 2 × 5
= 10
OVE
5 miles is how many kilometers?
Hint: 1 mi 1.6 km
Round your answer to the nearest tenth.
find value of x so that L ll M. state the converse used
Answer:
x = 4
Step-by-step explanation:
From the figure attached,
Two lines l and m are the parallel lines.
Angle BAD is an exterior angle of triangle ABC.
By the theorem of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles."
m(∠BAD) = m(∠ABC) + m(∠BCA)
28x = 16x + 48
28x - 16x = 48
12x = 48
x = 4
Therefore, x = 4 will be the answer.
Using tha appropriate triangle theorem, the value of x in the given triangle is 4
Recall the theorem ;
"The exterior angle of a triangle is equal to the sum of opposite interior angles". The opposite interior angle = 16x and 48Exterior angle = 28xExpressing as an equation :
16x + 48 = 28x
Collect like terms
16x - 28x = - 48
-12x = - 48
x = 48/12
x = 4
Therefore, the value of x is 4.
Learn more : https://brainly.com/question/18581754
A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled.
a. What is the probability of getting an even number? Response area
b. What is the probability of getting a factor of 6?
* will mark brainliest *
Answer:
A) even number is 3/6 = 1/2
B) getting a factor of 6 is 2/6 = 2/3
Answer:
A.) the probability of getting an even number is 1/2
B.) probability of getting a factor of 6 is 2/3
Step-by-step explanation:
I hope this helps
please help me find the answer
Answer:
[tex]\frac{2x+7}{3}[/tex]
Step-by-step explanation:
Assuming you require a single fraction.
Given
[tex]\frac{2x+1}{3}[/tex] + 2 ← express 2 as [tex]\frac{6}{3}[/tex]
= [tex]\frac{2x+1}{3}[/tex] + [tex]\frac{6}{3}[/tex]
The fractions now have a common denominator, thus add the numerators leaving the denominator.
= [tex]\frac{2x+1+6}{3}[/tex]
= [tex]\frac{2x+7}{3}[/tex]