Answers
Answer:
[tex]x { }^{2} + 8x + 11 = 0 \\ d = 64 - 44 = 20 \\ x1 = \frac{ - 8 - \sqrt{20} }{2} = - 4 - \sqrt{5} \\ x2 = \frac{ - 8 + \sqrt{20} }{2} = - 4 + \sqrt{5} [/tex]
Related Questions
What is the equation of the line that passes through point Q and is parallel to line P?
Answers
Answer:
[tex]y=\frac{3}{2} x+1[/tex]
Step-by-step explanation:
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope (m) and different y-intercepts (b)1) Find the slope of line P
The slope of a line is equal to the [tex]\frac{rise}{run}[/tex], or the number of units the line moves up over the number of units the line moves to the right.
We can see that for line P, for every 2 units it moves to the right, it moves up 3 units.
Therefore, the slope of line P is [tex]\frac{3}{2}[/tex].
Knowing this, the equation of a line parallel to line P would have a slope of [tex]\frac{3}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=\frac{3}{2} x+b[/tex]
2) Plug the given point Q into [tex]y=\frac{3}{2} x+b[/tex] to find the y-intercept (b)
[tex]y=\frac{3}{2} x+b[/tex]
Plug in point Q (2,4)
[tex]4=\frac{3}{2} (2)+b\\4=\frac{6}{2}+b\\4=3+b[/tex]
Subtract 3 from both sides
[tex]4-3=3+b-3\\1=b[/tex]
Therefore, the y-intercept of this line (b) is 1. Plug this back into our original equation:
[tex]y=\frac{3}{2} x+b[/tex]
[tex]y=\frac{3}{2} x+1[/tex]
I hope this helps!
It costs $46 for 8 people to go ice skating how much will it be for 11 people to go show your work please
Answers
Answer:
It will cost 63.25
Step-by-step explanation:
We can use a ratio to solve
46 dollars x dollars
--------------- = ---------------
8 people 11 people
Using cross products
46 * 11 = 8x
506 = 8x
Divide each side by 8
506/8 =8x/8
63.25 =x
It will cost 63.25
Answer:
$63.25
Step-by-step explanation:
46/8 = $5.75 each
11 x 5.75 = $63.25
Answer theses questions and I’ll give you BRIANLIST
Answers
Answer:
3
Step-by-step explanation:
reading it from left to right, the dash on the far left is the minimum value :)
Answer:
3
Step-by-step explanation:
on a box plot, the lowest number the box plot reaches is the minimum.
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees. What is the measure of the sixth angle?
Answers
Answer:
x = 134
Step-by-step explanation:
Given that,
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.
We know that,
The sum of interior angles of a hexagon must equal 720 degrees.
So,
119+129+104+139 +95+x = 720
Where
x is the sixth angle
So,
586+x=720
x = 720-586
x = 134
So, the sixth angle is equal to 134.
What shape do degree 3 functions have?
Answers
Answer: Third degree polynomials are also known as cubic polynomials. Cubics have these characteristics: One to three roots. Two or zero extrema.
HOPE THIS HELPS
Please brainliest
p
(
x
)
be a polynomial of degree 3
3
with real coefficients. Which of the following is possible ?
a) ()
p
(
x
)
has no real roots
b) ()
p
(
x
)
has exactly two real roots
c) (1)=−1,(2)=1,(3)=11,(4)=35
p
(
1
)
=
−
1
,
p
(
2
)
=
1
,
p
(
3
)
=
11
,
p
(
4
)
=
35
d) −1
i
−
1
and +1
i
+
1
are roots of ()
p
(
x
)
, where =−1‾‾‾√
If it takes Mr. Williams 1/5 hour to grade each of his students’ tests, how many tests can he grade in 4 hours?
Answers
Answer:
1234567891011121314151617181920
A mechanic has two pieces of sandpaper of different sizes. Each piece is in the shape of a circle. The radius of the larger circle is 4 times the radius of the smaller circle. The area of the larger circle is how many times the area of the smaller circle?
Answers
Answer:
16 times
Step-by-step explanation:
difference in area = area of bigger circle / area of smaller circle
Area of a circle = πr²
r = radius
imagine the radius of the smaller circle = 1
Area of circle in terms of π= π
radius of the bigger circle = 4 x 1 = 4
Area of bigger circle in terms of π = π4² = 16 π
16 π / π = 16 times
help me please!!! i dont get this!!!
Answers
=============================================================
Explanation:
The circumference is a special term to mean the perimeter of a circle, or the distance around the circle. Think of a very long rope you can wrap around the circle. Unwinding that rope to make it lay straight can then lead to help measure out the perimeter of the circle when using a straight measuring device (eg: ruler). You can also think of flexible cloth ruler tape that is used to make clothing, and to measure things like height, when thinking about measuring the perimeter of a figure with curves to it.
In this case, the perimeter of the circle is 628 feet. The formula to find the circumference (C) given a radius (r) is shown below
C = 2*pi*r
where pi = 3.14 approximately. We can use a bit of algebra to find the radius r when we are given the circumference C = 628
So,
C = 2*pi*r
628 = 2*3.14*r
628 = 6.28*r
6.28r = 628
r = 628/6.28
r = 100
The radius is 100 feet. Keep in mind that this is an approximate value considering that pi = 3.14 is approximate.
Now we're told that the boat is moving 4 ft per second along the radius. We'll use the distance = rate*time formula to find out how long it will take us to go from the edge fo the center.
distance = rate*time
100 ft = (4 ft per sec)*(x seconds)
100 = 4x
4x = 100
x = 100/4
x = 25
It takes about 25 seconds for the boat to go from the edge to the center of the pond.
Again, this is an approximation due to pi = 3.14 being an approximation.
Answer:
25 seconds
Step-by-step explanation:
the first step is to find the radius of the pond, as that is the distance from the outside of the circle to the center, the same path the boat is taking. the formula for the circumference of a circle is 2pi(r)= circumference, where r represents the radius. to solve for the radius instead of the circumference, we can format the equation as r= circumference/2pi, because to isolate the radius on the left side of the equation you must divide by 2pi on both sides. we know the circumference is equal to 628, so the equation filled out is r= 628/2pi. firstly, 2*pi is 6.28, using 3.14 as pi. 628/6.28 is 100, so the radius is 100 feet.
next, we know the boat is travelling 4 feet per second. since the path it is travelling is 100 feet long, we must divide 100 by 4. 100 ft divided by 4 ft per second leaves us with 25, so it will take the boat 25 seconds to reach the center of the pond.
hope this helps!
7 , 14 , 21 , 28 __ __ __
Answers
Find the volume of the cone. H=9cm r=6cm
Answers
Answer:
the volume of the cone is 339.29
Step-by-step explanation:
Answer:
Volume is 339.29cm
Step-by-step explanation:
6x - 8 ≤ 184
i need answer for test corrections
Answers
Explanation:
I took this in 9th grade so I know how to do this kind of stuff
Can someone help? What’s the answer.
Answers
Answer:
The surface area of the red square is 180, and the surface area of the blue square is 328. So the full answer is 508.
Step-by-step explanation:
A = 2( width times length +height times length +height times width ) = 2(6 times 3 + 8 times 3 + 8 times 6)=180
A = 2(width times length + height times length + height times width) = 2(2 times 12 + 10 times 12 + 10 times 2) = 328
And 328 + 180 = 508.
(2x+3x) x 3+15=12x+36
Answers
Answer:
Is this what you meant?
(2x + 3x) × (3 + 15) = 12x + 36
(5x) × (18) = 12x + 36
90x = 12x + 36
78x = 36
x = 36 / 78
x = 18 / 39
_____________________
or
3(2x+3x) + 15 = 12x + 36
10x + 15 = 12x + 36
-21 = 2x
2x = -21
x = -21/2
Alicia deposits $4200 in a savings account and
withdraws $35 each month.
Answers
Answer:
120
Step-by-step explanation:
if you do 4200 x 35 it well be 147000 but if you divide 4200 ÷ 35 it will be 120 and in the question said Each so each mean =× or ÷ in this case it's divide
Answer: 3780
Step-by-step explanatio
35 multiply it with 12 cause there are 12 months in a year then subtractEd it with 4200 and 420 cause that is what I got. Then got 3780!
35 x 12 = 420 then 4200 - 420= 3780
hiii please help i’ll give brainliest:)
Answers
Answer:
Geographic features of ancient Greece.
Step-by-step explanation:
Greece has all of those attributes.
f(-3)=x^2+4
just need help with this
Answers
Step-by-step explanation:
f(-3)=(-3)^2+4
=9+4
=13
hope it helps u dear friend
Answer:
Step-by-step explanation:
Given
f(x) = x² + 4
Now
f(- 3) = (-3)² + 4
= 9 + 4
= 13
hope it helps :)
If anybody can help with this
Answers
Answer: third one
Step-by-step explanation:
Answer:
3√2
Step-by-step explanation:
the 2nd answer
y=3√2
I need help asap !!!!
Answers
Answer:
C
Step-by-step explanation:
Pythagorean theorem = a² + b² = c²
Answer:
C.
Step-by-step explanation:
Pythagrean Theorem is on C
brainiest to whoever right it’s easy
Answers
median is 14.5
10 and 11 please thanks
Answers
Answer:
oh that.is.... um .......ummmmmmmm
Have a nice day
Help! Please! Does anyone know?
Answers
Answer:
The answer is G
Step-by-step explanation:
All you do is move all the terms not containing x to the right side of the inequailty form: x < 3
Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd
Answers
The options aren't given, however, the range of amount spent could be calculated
Answer:
Kindly check explanation
Step-by-step explanation:
Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd
Given that :
DVD costs the same amount
Number of DVD's = 3
Cost of cds = 10
Number of cds = 7
Total cost of cd's = 10 * 7 = 70
Let the price of DVD = x
Total amount spent = 90 - 100
Lowest price of DVD :
(amount spent - price of cd) / number of dvd
(90 - 70) / 3 = 20 /3 = 6.667
Highest price :
(100 - 70) / 3 = 30 / 3 = 10
Hence the pice of each DVD will range between /
6.6666 and 10.
Hence, prices listed within the range above are possible.
I need help please (25 points)
Answers
Mario was shopping for a new camera. He found one with an original price of $125.00 and is marked 45% off. Sale tax for the item is 5.2%. What is the final price of the camera, including tax?
Answers
Answer:
72.33
Step-by-step explanation:
45 percent of 125 is 56.25 so you subtract that from 125 and get 68.75 and then you do 5.2 percent of 68.75 and get 3.575 which rounds to 3.58 and you add that to 68.75 and get 72.33
PLZZZZZ HELPPP ILL GIVE BRAINLIEST
Answers
Answer:
340
Step-by-step explanation:
Answer:
100-60
Step-by-step explanation:
Used special calculater for this kind of problem.
Three friends but one pack of 80 stickers. They divide it equaly and gave the rest to the teacher. how many stickers will each friend get?
Answers
Answer:
each friend will get 26 stickers
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
Pls help me, It for math!
Answers
Answer:
9
Step-by-step explanation:
just put the value and simplify it
Answer:
9
Step-by-step explanation:
12²-3³x5
=9
hope this helps. I'm glad to help. plz mark me as brainliest.
How much did it cost trudy to get the loan for $500
Answers
Answer:
850
Step-by-step explanation:
500 times 0.7 plus 500
find the length of x.
Answers
Answer:
3.5
Step-by-step explanation:
so this triangle is symmetrical by AA. so x would be symmetrical to 7, and 2.5 is symmetrical to 5.
[tex]\frac{x}{2.5}[/tex] = [tex]\frac{7}{5}[/tex]
x×5=5x
2.5×7=17.5
5x=17.5
x=17.5/5
x=3.5
What is the equation of the line that passes through the point (4,-4) and has a
slope of -5/2
Answers
Answer:
y = -5/2x + 6
Step-by-step explanation:
y = -5/2x + b
-4 = -5/2(4) + b
-4 = -10 + b
6 = b
y = -5/2x + 6