Solve each equation by completing the square.
X^2 +2x-5=0
N^2-20n+2=4
Step-by-step explanation:
x² + 2x - 5 = 0
that is the same as
x² + 2x + 1 = 6
(x + 1)² = 6
x + 1 = ±sqrt(6)
x = -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
n² - 20n + 2 = 4
this is the same as
(n - 10)² = 102
n - 10 = ±sqrt(102)
n = 10 ± sqrt(102)
n1 = 10 + sqrt(102)
n2 = 10 - sqrt(102)
Karly used 3.5cans of tomato sauce to make lasagna. Each can contains 10.5 ounces. How many ounces of tomato sauce is in the lasagna?
Answer:
31.75
Step-by-step explanation:
if there are 3.5 (or 3 and a half) cans in the lasagna and each holds 10.5 oz, you can use 3.5x10.5 to solve it.
Which statement about the graphs of these two functions is true?
Answer:
Both graphs intersect the x-axis to the right of 0
Below are 2 similar triangles
The area of triangle A is 20cm^2 work out the area of triangle B
Write an equation with the given information in slope- intercept form.
m=-1/2; y intercept (0,4)
1) Jack bought 5 basketballs for $70. What was the price per basketball?
Answer:
14
Step-by-step explanation:
70/5 = 14
Which of the following travel in waves? Select all that apply.
1. Air
2. Light
3. Scent
4. Sound
Answer:
Sound and Light
Step-by-step explanation:
Just did this and got it right!!
Hope it helps you!!! :)
Which graph is not a function ? Why isn’t it ?
Answer:
Graph 2
Step-by-step explanation:
Graph two is not a function because it does not pass "the vertical line test", which is a method of determining if a graph is a function or not. To do this, we use our pen to check that for every x value there is only one y value. In graph two, however, this is not the case.
Can someone reflect (7,6) across the x axis then reflect across the y axis
Answer:
(7, -6)
(-7, -6).............
..
Answer: -7,-6
Step-by-step explanation:
So if we look at a graph 7,6 is on the right upper quadrant since its completely positiv, once we relfect the x axis then it becomes 7,-6 then once we reflect across the why axis it finally becomes -7,-6
solve for the wavelength frequency and energy then identify the type of electromagnetic wave to complete the table
Answer:
See attachment
Step-by-step explanation:
λν = c [Wavelength, λ (lambda), times frequency, ν (nu), equals the speed of light.]
c = 3.0 x 108 m/s.
E = hν
h = Plank's constant = 6.626x10-34 J-s
I put the data in a spreadsheet and calculated the values as per the equations above. The table showing the types of energy was not attached, so I left that column blank. I assume it is looking for labels such as UV, Visible, IR, Radio, etc.
SOLVE 11 AND 10 FOR POINTS NO LINKS ABSOLUTELY ALSO FOR 11 10 Answers may vary, however the
PRODUCT of the factors must equal......
Answer:
10. (-1, 7), (-7, 1)
11. (8, 4), (16, 2)
Step-by-step explanation:
10.Let x and y represent the two missing factors. Then you have ...
-3xy = 21
xy = -7 . . . . . . . divide by -3
Integer divisors of -7 are ±1, ±7, so possible factor pairs are (-1, 7), (-7, 1) and their reverse.
Of course, the only requirement is that the values be rational, so we could have (-1/4, 28), for example. One of the above factors can be multiplied by any rational number, and the other multiplied by its inverse.
__
11.If the two factors of interest are x and y, then the product of the three factors is ...
(-3/4)xy = -24
xy = (-4/3)(-24) = 32
Integer divisors of 32 are 1, 2, 4, 8, 16, 32. So, any of those, positive or negative, could be one of the (integer) factors you're looking for. On the attached graph, we have shown (x, y) pairs ...
(8, 4), (16, 2), (-4, -8)
There are an infinite number of possibilities.
Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?
Answer:
Yes
Step-by-step explanation:
Because it’s a trapezoid and those can be trapezoid because they have one pair of parallel sides and a parallelogram has two pairs of parallel sides so a parallelogram is also a trapezoid.
5/8 divided by 3/5=????????????????????????????
Answer:
0.15
Step-by-step explanation:
Answer:
1 1/24
Step-by-step explanation:
Pls give brainly if right :) also not 11 its 1u 1/24
find the greatest common factor (GCF) OF each pair of number using continuous division
1.15 and 30
2.Cassandra is creating individual servings of dessert.She has 16 pili nut candies and 24 chocolates. If she wants each serving to be indentical with no food left over what is the greatest number of servings Cassandra can create.
Answer:
1. GCF is 15.
2. 8 servings
Step-by-step explanation:
1. Continuous Division
3 15 30
5 5 10
1 2
Multiply the factors in the left side (3 and 5)
= 15
Greatest Common Factor is 15
2. Continuous Division
2 16 24
2 8 12
2 4 6
2 3
Multiply the factors in the left side (2,2 and 2)
= 8
Greatest number of servings is 8
ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diagonals.(Lengths are in cm).
pls help will mark as brainlist
Step-by-step explanation:
the lengths OB, OC & BC together forms a isosceles triangle.
therefore,
OB=OC
3x+4=x+8
2x=4
x=2.
OB = 3x+4= 3.2+4=10cm.
OC= x+8= 2+8=10cm.
therefore, the diagonals are : 20cm each.
hope this helps you.
A 10-year-old and a 5-year-old both eat similar-sized apples. Which child burns the energy faster?
Answer:
10 year old
Step-by-step explanation:
because the 10 year old has a better developed body than a 5 year old.
Hope this helps, have a nice day/night! :D
I need help plss!!!!!!!
Answer:
5/2
Step-by-step explanation:
are you the same dude I just answered or are two people taking the same test lol
c = x/y = 5/2
Can I get some help..please?
Answer:
-2 and 21/50
Step-by-step explanation:
PEMDAS says that paranthases go first, so we solve 2 and 1/5 minus 33/12. 2 and 1/5 simplifies to the improper fraction, 11/5. Then we find a common denominater between 11/5 and 33/12 to get 60. 11/5=132/60, and 33/12=165/60. (132/60)-(165/60)=-33/60. Then we multipl that by 4 and 2/5, which can simplify to the improper fraction, 22/5. (22/5)*(-33/60) is -726/300, and simplifies to -2 and 21/50. Hope this helps!
Happy late Thanksgiving!!!
Answer:
You too!!
Step-by-step explanation:
Hi, I need help with this question. Pls, explain your answer.
Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
(1) linear (3) absolute value
(2) quadratic (4) exponential
Answer:
(4) exponentialStep-by-step explanation:
According to given, the function is:
A = P(1 + r)ⁿor
A = 500(1 + 3.5/100)¹⁰ = 500*1.035¹⁰This is an exponential relationship
Correct choice is (4)
To determine the money Eric will have in his bank account, he needs to use an exponential function.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.
Here, S = sum of money after the total period of investment.
P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.
Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3
Hence, after 10 years, Eric will have $705.3 in his bank account.
Learn more about compound interest here: https://brainly.com/question/25857212
#Tag #SPJ2
how do i do this? geometry
Answer:
80?
Step-by-step explanation:
the total amount of degrees in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.
peter cuts a piece of string into three lengths one is 4.26cm long one is 7.54cm long and the third is 3.90cm long how long was the string before it was cut
Answer:
15.70cm
Step-by-step explanation:
add to get total
4.26+7.54+3.90
Answer is 15.70cm
Answer:
15.7 cm
Step-by-step explanation:
The 3 lengths are of 3 strings that used to make up 1 string, so add all 3 lengths to find the length of the string before it was cut.
slope of a line perpendicular to the line whose equation is 6x+4y=−56, fully reduced
Answer: Answer
1.0/5
1
angelinagalindo127
Ambitious
40 answers
2.2K people helped
Answer:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.Step-by-step
Step-by-step explanation: |\ /|
\|_|/
/. .\
=\_Y_/=
{>o<}
find the measure of angle 1 and angle 2. justify your answer
Answer:
∠ 1 = 95° , ∠ 2 = 130°
Step-by-step explanation:
∠ 1 = 95° ( alternate angles )
∠ 2 and 50° are same- side interior angles and sum to 180°
∠ 2 + 50° = 180° ( subtract 50° from both sides )
∠ 2 = 130° ( same- side interior angle )
Use the properties of multiplication to solve.
(4 x 13) x 25
A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.
Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
Find the quotient: 8,441 ÷ 21 = ________. (1 point)
400 r 12
400 r 20
401 r 12
401 r 20
Pls Help ASAP!!! Thank you!!
Answer:
401 r 20
Step-by-step explanation:
Write the line (-5,-6) with slope 2/5 in point-slope form
Answer:
[tex]y+6=\frac{2}{5} (x+5).[/tex]
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).
Please help meee
Complete each statement. Explain why
it is true.
Answer:
It is true because it is true.
Step-by-step explanation:
Why else would it be false?
Solve the system of equations by substitution.
3x + y = 9z
-5x + 2y = -4z
What is the value for y from the first equation, that could be substituted into the second equation?
-9z + 3x
3z + 9x
9z - 3x
-3x - 9z
Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
to check if you are correct put the value of x and y into either equation 1 or equation 2.
3x+y=9.............................. equation 1
3( 1.27) + 5.18 = 9
3.81 + 5.18 = 9
9 = 9