m=-1 and c=8 for the line y = 8 − x
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y = 8 − x
This equation we can write in the form of slope intercept form
y=-x+8
y=(-1)x+8
Now compare the above equation with slope intercept form
m=-1 and c=8
Hence, m=-1 and c=8 for the line y = 8 − x
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What is the following simplified product? Assume x 0.
(sqrt6x^2+4sqrt8x^3)(sqrt9x-xsqrt5x^5)
Answer:
c
Step-by-step explanation:
Keep in mind, whatever is inside of the square root, stays inside of the square root, and whatever is outside, stays outside, they don't multiply together. With parenthesis, exponents multiply, if there's no parenthesis, the exponents don't multiply. In this case, the exponents add.
Multiply each one together:
sqrt(6x^2) x sqrt(9x) = sqrt(54x^3)
sqrt(6x^2) x -(x sqrt(5x^5)) = -x sqrt(30x^7)
4 sqrt(8x^3) x sqrt(9x) = 4 sqrt(72x^4)
4 sqrt(8x^3) x -(x sqrt(5x^5)) = -4x sqrt(40x^8)
Then simplify:
sqrt(54x^2) = 3x sqrt(6x)
x sqrt(30x^7) = -x^4 sqrt(30x)
4 sqrt(72x^4) = 24x^2 sqrt(2)
-4x sqrt(40x^8) = -8x^5 sqrt(10)
HELP ASAP! TYSM IF U DO, WILL GIVE BRAINILEST!
its d becuase i used math-way
Step-by-step explanation:
b
=
4
Answer:
Option DStep-by-step explanation:
Given equation:
b - 12 = - 8Add 12 to both sides:
b - 12 + 12 = - 8 + 12b = 4Correct graph is D, where point 4 is marked
Help help help help math math
Step-by-step explanation:
Relation
Hope it correct!!!
Write an equation of the line in slope-intercept form. 2. 3. (0, -1) (0.4) 2 3 4 5 * 86 (4, -2) -6 (-5, -3)
what is the complete factorization of the polynomial below
[tex] {x}^{3} - {2x}^{2} + x - 2[/tex]
[tex]a. (x - 2)(x + i)(x - i)[/tex]
[tex]b.(x + 2)(x - i)(x - i)[/tex]
[tex]c.(x + 2)(x + i)(x - i)[/tex]
[tex]d.(x - 2)(x - i)(x - i)[/tex]
Answer:
[tex]a. \ (x-2)(x+i)(x-i)[/tex]
Step-by-step explanation:
First of all let's notice that [tex](x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C}[/tex] while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of [tex](x-\alpha)[/tex] it means tha [tex]\alpha[/tex] is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)
[tex]p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0[/tex]
[tex]p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20[/tex]
At this point 2 is a zero, and our final factoring is a[tex](x-2)(x+i)(x-i)[/tex]
How are the two triangles congruent? If not congruent, select not
congruent.
1 point
SSS
SAS
ASA
AAS
ОО
Not congruent
Answer:
SAS
Step-by-step explanation:
there are vertical angles in the middle and the sides are already marked
Some help please please
Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
To find the length of an isosceles triangle, you know that the angles of the triangle are 45-45-90, so let's use that triangle theorem.
Therefore, the length of the hypotenuse (BD) is [tex]x\sqrt{2}[/tex], and x is equal to 8 (length of BC).
[tex]x\sqrt{2}[/tex]
x=8
Therefore, [tex]8\sqrt{2}[/tex] would be the length of side BD.
Answer:
oh snap i have this question too sorry cant help :(
Step-by-step explanation:
but i can provide with advice bc is the side down and bd is across us this to your advantage
5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square
that produce a minimum total area.
The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
Represent the side length of the square with s, and the radius of the circle with r.
So, the perimeter (P) and the area (A) of the shape are:
[tex]P =4s + 2\pi r[/tex]
[tex]A =s^2 + \pi r^2[/tex]
The perimeter is 16. So, we have:
[tex]4s + 2\pi r = 16[/tex]
Divide through by 4
[tex]s + 0.5\pi r = 4[/tex]
Make s the subject
[tex]s = 4 - 0.5\pi r[/tex]
Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]
[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]
Expand
[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]
This gives
[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]
Differentiate with respect to r
[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]
[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]
Set to 0
[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]
Add 4pi to both sides
[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]
Divide both sides by 2
[tex](0.25\pi^2 + \pi )r =2\pi[/tex]
Make r the subject
[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]
Factor out pi
[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]
Cancel out the common factors
[tex]r =\frac{2}{0.25\pi + 1 }[/tex]
Express pi as 3.14
[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]
[tex]r =\frac{2}{1.785}[/tex]
Divide
[tex]r =1.12[/tex]
Recall that:
[tex]s = 4 - 0.5\pi r[/tex]
This gives
[tex]s =4 -0.5 \times \pi \times 1.12[/tex]
This gives
[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]
[tex]s =2.24[/tex]
Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
Read more about minimum areas at:
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Find the difference. 2/5(d-10)-2/3(d+6)
[tex]\dfrac 25(d-10) - \dfrac 23(d+6)\\\\\\=2 \left(\dfrac{d-10}5 - \dfrac{d+6}3 \right)\\\\\\=2\left[\dfrac{3(d-10) - 5(d+6)}{15}\right]\\\\\\=2 \left( \dfrac{3d-30-5d-30}{15} \right)\\\\\\=2\left(\dfrac{-2d-60}{15} \right)\\\\\\=2(-2) \left(\dfrac{d+30}{15} \right)\\\\\\=-4 \left(\dfrac{d+30}{15} \right)\\\\\\=-4\left(\dfrac d{15} +2 \right)\\\\\\=-\dfrac{4d}{15}-8[/tex]
Can you solve this? Please ( 15+ points)
Answer:
112+24x
Step-by-step explanation:
2(16+(10*4)+(x*12))
solve the inner bracket
2(16+40+12x)
solve this bracket
2(56+12x)
solve this now
112+24x
Answer:
[tex]24x+112[/tex]
Step-by-step explanation:
First of all we will start with the brackets inside the equation,
1. [tex]2[16+40+12x][/tex]
Now we can multiply 2 by all the values inside the parentheses
2. [tex]32+80+24x[/tex]
I just wanted to confirm that the big X is a variable?
Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.
On a piece of paper, graph f(x) = 4x. Then determine which answer choice
matches the graph you drew.
Answer:
The Correct Answer is A
Step-by-step explanation:
You are able to put the equation into Desmos Online Graphing Calculator.
When inserting the equation:
[tex]f(x) = 4 {}^{x} [/tex]
You are able to determine that the graph looks like Graph A
I hope this helps and you have a great day!
Note: I am not a professional so take my opinion with caution!
Answer:c
Step-by-step explanation:
5. How much would d dollars earn in one year at thē rate of p percent compounded annually?
Answer:
a
Step-by-step explanation:
a
Worth 12 points do it soon pls
Step-by-step explanation:
9+(-5)=4
-8-4=-12
8-(-4)=12
-9+5=-4
Hope this helps, just go connect the equation to the answer that I put.
RULES
If you have a minus and a minus (- -) it is equal to +
If you have Plus and Minus (- +) it is equal to -
The first one when simplified is 9-5=4
The second one Simplified is -8-4=-12
The third one simplified is 8+4=12
The fourth one simplified is -9+5=-4
I hope this helped and that you got the concept. If you have questions, ask me
Ps. If you mark me branliest it would-be very appreciated
HELP BRAINLY PPLS!!! Identify the transformation that was applied to this boomerang.
A.Translation
B.Rotation about the origin
C.Reflection over the x-axis
D.Reflection over the y-axis
Answer:
B should be the answer because it did rotate and the origin is in the middle 0,0 which it look like to me it is on.
12 cars in 15 hours how many cars is in 10 hours
Answer:
8Step-by-step explanation:
12 cars in 15 hours how many cars is in 10 hours
12 : 15 = x : 10
x = 12 * 10 : 15
x = 8
-------------------
check
12 : 15 = 8 : 10
0.8 = 0.8
the answer is good
Ahat costs $25. Tax is 8%. How much is the lax on the hot? O $20 $17 $0 20 $2 NEXT QUESTION ASK TORTILLP
Answer:
$2
Step-by-step explanation:
To use a percent you must change it to a decimal.
8% is .08
To find 8% of 25, we use multiplication.
.08 × 25
= 2
In case you cannot use a calculator or you want to be very quick about this, or just do a simple check... you can actually reverse the number (money, amount, etc) and the percent.
25% of 8 is not bad for doing mental math. 25% is a quarter, or 1/4 of 8 which again is 2.
9490 divided by 5.explain how you got the answer
Answer:
The number 9490 is called the numerator or dividend, and the number 5 is called the denominator or divisor.
The quotient of 9490 and 5, the ratio of 9490 and 5, as well as the fraction of 9490 and 5 all mean (almost) the same:
9490 divided by 5, often written as 9490/5.
Read on to find the result of 9490 divided by 5 in decimal notation, along with its properties.
4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
b. The oldest leatherback sea turtle in captivity is 33 years
old.
c. American bison are never over 6 feet tall.
Counterexamples are simply used to disprove conjectures.
(a) Elephants and Giraffes
This conjecture may or may not be true.
However, it can be disproved by the following counterexample
There are sometimes more elephants in a zoo than giraffes
The word "sometimes" disproves the original conjecture
(b) The oldest leatherback sea turtle
This conjecture is not true.
This is so because the oldest leatherback sea turtle in captivity is actually 400 years old.
So, the conjecture can be disproved by the following counterexample
The oldest leatherback sea turtle in captivity is 400 years old.
(c) American bison
This conjecture may or may not be true.
However, it can be disproved by the following counterexample
American bison are sometimes over 6 feet tall
The word "sometimes" disproves the original conjecture
Read more about conjectures and counterexamples at:
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Minh spent $3.50 on 25 stickers.
How much did each sticker cost?
Answer:
0.14
Step-by-step explanation:
brainliest please
If 8 boys are arranged in a row, what is the probability that 3 boys will sit together?
Answer:
100% if you have 8 boys in a row the change that three boys will sit next to each other is 100%
Hope This Helps!!!
Answer:
i think probably 3/28 ,that 3 boys will sit together
-
Which polynomial has a factor of (x - 5)?
A x² + 4x - 5
B x + 5x + 4
C x² – 2x - 15
D 2x + 11x + 5
-
Answer:
The correct answer is C
x² - 2x -15
What is the slope
A) 1/3
B) 3
C) 2
Answer:
3 (B)
Step-by-step explanation:
rise/run
rise=3
run=1
3/1=3
Which quantity is proportional to 40/8?
Answer:
5/1
10/2
15/3
20/4
25/5
30/6
35/7
Step-by-step explanation:
Question
Triangle ABC is similar to triangle XYZ. Find side a.
13
39
Y
5
Z
B
Provide your
Answer:
Step-by-step explanation:
There are two great ways to set up this problem and they both get you the same answer. First you know that the triangles are similar, this means they are the same shape, but not necessarily the same size. You can use ratios to compare the sizes of the sides. Just be sure to compare like things to like things.
One way: compare the small triangle's long side to short leg with the big triangle's long side to short leg. Like this:
13/5 = 39/a
OR...compare long side(sm) to long side(big) compared to short leg(sm) to short leg(big). Like this:
13/39 = 5/a
Amazingly, these equations will give you the same answer.
13a = 39*5
13a = 195
13a/13 = 195/13
a = 15
You can maybe see that the big triangle's side is 3 times bigger than the small one (13 times 3 is 39) So it works out that the 5 on the little triangle is 3 times bigger--15--on the large triangle!
Find the value of x need help
Answer:
x = 13
Step-by-step explanation:
180-52=10x-2
130=10x
13=x
Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x
Answer:
D
Step-by-step explanation:
(3x³ - 10x² + 13x) - (5x³ + 4x² - 9x)
3x³ - 10x² + 13x - 5x³ - 4x² + 9x Change all terms after the subtraction sign to
the opposite sign (definition of Subtraction)
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x) Group like terms together
-2x³ - 14x² + 22x
Will give brainliest!! Thank you
Answer:
All the mentioned can be constructed with the help of piling method. But, for construction of B and D we need a point as well.
Please give brainliest only need 3 more brainliest before next rank!
Step-by-step explanation:
a) Yes, a cube can be formed by stacking polygons. If we stack squares one upon another, then the resulting 3-D figure would be a cube.
b) Yes, a cone that does not include the point can be made by stacking disc. If we stack discs such that the discs are arranges in descending order then the resultant 3-D figure would be a cone that does not include a point.
c) Yes, a pyramid can be formed by stacking polygons.
If we stack squares such that they are arranged in descending order of their side length and stacked by a point on the top. Then the resultant figure would be a pyramid that includes a vertex.
f) There are many types of prism. Fro example a rectangular prism can be constructed by simply stacking rectangle polygon on one another.
e) Yes, a cone can be formed by stacking disc.
We need to stack disks arranged in descending order of their radius stacked with a point on the top. The resulting figure would be a cone that includes a point.
f) Yes, a cylinder can be formed by stacking. We need to stack discs of same radius to get a cylinder.
Answer:
B and D
Step-by-step explanation:
1. Suppose 750 tickets were sold for a concert with a total revenue of $5300. If adult tickets were $8 and
student tickets were $4.50, how many of each type of ticket were sold?
a) Define your variables.
X=______
y =_______
b) Write the system of equations.
Equation 1:_______
Equation 2:______
c) Solve the system of equations and determine how many of each type of ticket were sold.
ha
Answer:
x=65
Step-by-step explanation:
y= 23213
help me please please
Answer:
17/18
Step-by-step explanation:
To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.
Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.
Answer:
r u just cheating ur way through a whole test lol
Step-by-step explanation:
its B or 17/18
The sum of 8 and a number is 9
Answer:
The sum of 8 and 1 is 9.
lol
Step-by-step explanation: