Slope = -1/2
Y intercept = -9/2
=====================================================
Work Shown:
2x + 4y = -18
2(x+2y) = -18 .... factor out 2
x+2y = -18/2 .... divide both sides by 2
x+2y = -9
2y = -9-x .... subtract x from both sides
2y = -x-9
y = (-x-9)/2 ... divide both sides by 2
y = (-x/2) - (9/2) ... break up the fraction
y = (-1/2)x - 9/2
The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.
Answer:
Step-by-step explanation:
2x + 4y = -18
2(x+2y) = -18 .... factor out 2
x+2y = -18/2 .... divide both sides by 2
x+2y = -9
2y = -9-x .... subtract x from both sides
2y = -x-9
y = (-x-9)/2 ... divide both sides by 2
y = (-x/2) - (9/2) ... break up the fraction
y = (-1/2)x - 9/2
The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.
HELPPPPP PLEASEEEEE!!!
Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: [tex]s=\pi r\sqrt{r^2+h^2}[/tex]
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:
[tex]s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416[/tex]
So, the height of right circular cone is h = 15.416 cm
please, help, asap thank youu
Answer:
i think it might be B or D
At Store B, Tucker used a 35%-off coupon to buy a chain. Write an
expression for the price of this chain.
what is the price of the chian
Distance in Feet
1. Earlier this week the famous "Live Cannonball” - Gunter Money was shot from a cannon at the Austin Expo.
Gunter flew to a height of 70 feet and traveled a distance of 160 feet only to land perfectly in a safety net.
Assume (0, 0) was the starting point for Gunter's flight and that he landed in the net at (160, 0).
(a) Use matrices to find the equation for Gunter Money's path.
(b) Write the equation for Gunter Money's path in vertex form.
US 11:50
acer
9514 1404 393
Answer:
a) y = -7/640x^2 +7/4x
b) y = -7/640(x -80)^2 +70
Step-by-step explanation:
a) Given the equation in standard form:
y = ax^2 +bx +c
we can use the points (0, 0), (80, 70), and (160, 0) to find the values of a, b, c.
a·0 +b·0 +c = 0
a·80^2 +b·80 +c = 70
a·160^2 +b·160 +c = 0
The first equation tells us that c=0, so we can write a reduced matrix for the last two equations. The augmented matrix is ...
[tex]\left[\begin{array}{cc|c}6400&80&70\\25600&160&0\end{array}\right][/tex]
A matrix solver finds the solution to be ...
a = -0.0109375 = 7/640, b = 1.75 = 7/4
The standard-form equation for Money's path is ...
y = -7/640x^2 +7/4x
__
b) Factoring out -7/64, we have ...
y = -7/640(x^2 -160x)
adding and subtracting the square of the x-coefficient, we have ...
y = -7/640(x^2 -160x +6400) +70
y = -7/640(x -80)^2 +70
WILL NAME BRAINLIST!!! 50 POINTS!!
Answer: Just dropout
Step-by-step explanation: What kinda classes are you taking
Answer: do it by your self and marry Christmas you filthy animal.
Step-by-step explanation:
what does x equal in 6x + 9 = -12
Answer:
. 。 • ﾟ 。 .
. . 。 。
. 。 ඞ 。 . •
ﾟ -3.5 was the answer. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
Step-by-step explanation:
6x + 9 = -12
-9 -9
6x = -21
Divide -21 by 6
x = -3.5
Solve for x:[tex]\frac{9}{x}= \frac{x}{16}[/tex]
A.144
B.12
C.24
D.18
how do u add really big fractions
Answer:
It depends on your situation
Step-by-step explanation:
If you have a mixed fraction, for example: 5 23/3000 + 101 777/3000 you would have to make them irrational numbers and add them. Like so: 3000x5 = 15000. 15000+23 = 15023. 15023/3000. Same process but this time you get 303777/3000. You then add the numerators (top numbers) and you'll get the sum over 3000.
For regular fractions you simply add the numerators. If your denominators are not the same, you need to find a common term that both can fit into. If the denominators are not the same, no matter the size of the fraction, you cannot add it.
Today only, every sweatshirt is $4.25 less than normal price. Right now if you buy 5 sweatshirts, the total cost will be $106.25. What's the normal price of the sweatshirt?
Answer:
Step-by-step explanation:
The normal price of the sweatshirt will be $21.50 because if you divide $78.75 by 5 you get $15.75 for each sweatshirt then you add the $5.75 with will make the original price $21.50
Answer:
25.50
Step-by-step explanation:
You take 106.25 divided by 5 and you get the marked down price of one sweatshirt which is 21.25 so then you add 4.25 to that price and get 25.50.
The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.
Answer:
15 and 8
Step-by-step explanation:
Restaurant A sells 10 tacos for $8.50. How much does Restaurant A charge for 1 taco?
Answer:
$0.85
Step-by-step explanation:
Given that,
Price of 10 tacos for $8.50
We need to find the charge for 1 taco.
We can find it using the unitary method.
10 tacos = $8.50
1 taco = [tex]\dfrac{8.5}{10}[/tex] = $0.85
Hence, restaurant A charge $0.85 for 1 taco.
7x2 - 2x2 = .......................................
simple but he help me out
(BTW if u answered the)
Answer:
10
Step-by-step explanation:
7*2 - 2*2 = 14 - 4 = 10
Plz mark as brainliest!
Answer:
10
Step-by-step explanation:
y = mx + c
Find the value of y when m=-2,x=-7 and c=-3.
Answer:
put the value of the place of alpha bat let,y=-2×-7+(-3)y=-14+(-3)y=-14+3y=-11. ansplease help me !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
20
Step-by-step explanation:
15 is the mid so +5 is 20 thus 20 is the anser
Would these be linear combinations or quadratic equations
Answer:
actually it is a simultaneous equation from linear combinations
12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
[A] S, = 19531
[B] S, = 16536
[C] Sy = 15631
D] S, = 31256
[E] None of these
Understanding:
The sum of a geometric series is, [tex]a+ar+ar^2+ar^3+...[/tex], with a being the start point and r is the common ratio. We can also use the following formula to make life easier [tex]S_n=a\frac{1-r^n}{1-r}[/tex], a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
Solution:
Our start point is 1, [tex]a=1[/tex],
The common ratio is 5, [tex]r=5[/tex],
And finally, the number of terms is 7, [tex]n=7[/tex].
[tex]S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531[/tex]
The answer is [A] 19531.
umm help?
310−−√
30√10
3√5
3√10
15√5
44−−√
222−−√
440−−√
211−−√
411−−√
192−−−√
824−−√
83√
643√
106√
Step-by-step explanation:
idek what u mean so can u explain or a pic
CAN SOMEBODY PLEASE HELPP THIS IS URGENT
Answer:
1. The fraction is 11/9
Step-by-step explanation:
You didn't specify which ones you need help with so I'm answering the first one for you.
let x=1.2 —equation 1
10x=12.2 —equation 2
subtract equation 1 from 2
10x-x=12.2-1.2
9x=11
x=11/9
9f + 4 - 7f = 8 pls help
Step-by-step explanation:
f = 2 is the correct answer
plz mark my answer as brainlist plzzzz vote me also and hope this helps you ...
answer is 2ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Martha and 4 friends attended a volleyball game. Admission was $3.50 per person. They all got snacks that were $2.50 each and a drink that was $1.50. On the way home they stopped at Starbucks for a frappucino that cost $4.75 per person. Martha paid for everything. How much did she pay?
Answer:
$61.25
Step-by-step explanation:
Given that:
There are 5 persons (Martha and 4 other friends)
Fee for admission for each person = $3.50
Price for snacks for each person = $2.50
Price for drinks for each person = $1.50
Price for frappucino for each person = $4.75
All the money was paid by Martha.
To find:
Total money paid by Martha.
Solution:
First of all, let us find the total cost for one person.
Total cost for one person = $3.50 + $2.50 + $1.50 + $4.75 = $12.25
There are a total of 5 persons.
Therefore total cost = $12.25 [tex]\times[/tex] 5 = $61.25
Total money paid by Marth = $61.25
help help help help guys show your solution and answer the question
Answer:
1) I just simply added the numerators because the denominators of both fractions are equal. As the denominators are same , I simply wrote 6 by taking the L.C.M of both denominators.
4)
[tex] \frac{5x - 3}{6} + \frac{x - 9}{6} [/tex]
[tex] = > \frac{5x - 3 + x - 9}{6} [/tex]
[tex] = > \frac{6x - 12}{6} [/tex]
Taking 6 common from numerator,
[tex] = > \frac{6(x - 2)}{6} [/tex]
Cancelling 6 from both numerator & denominator,
[tex] = > x - 2[/tex]
A line passes through (10,5) and (13,-4). Write the equation of the line in standard form.
A. 3x-y=5
B. 3x-y=25
C. 3x+y=25
D. 3x+y=35
Help? How to solve step by step?
Answer: (x+2)^2/x+2
= x+2 * x+2 / x+2
= x+2
Hope it helped u,
pls mark as the brainliest
^_^
What is the value of -3/5+ -0.75+4 7/10
Answer: 3.35
i think
Step-by-step explanation:
Veronica is shopping for school clothes. She wants to buy pants and shirts. The cost of her clothes can be found using the expressions 30x+ 25y where x is the number of pants and y is the number of shirts. She will also pay 8 tax. If Veronica buys eight shirts and two pairs of pants use the expression from question 4 to determine the total cost of the bill including 8% tax
Answer:
$280.80
Step-by-step explanation:
Given:
C = 30x+ 25y
Where,
C = total cost
x = number of pants
y = number of shirts.
If Veronica buys eight shirts and two pairs of pants
C = 30x + 25y
= 30(2) + 25(8)
= 60 + 200
= 260
C = $260
Sales tax rate = 8%
Amount of sales tax = 8% of $260
= 8/100 × 260
= 0.08 × 260
= $20.80
Total cost of the bill including 8% tax = $260 + $20.80
= $280.80
A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and denominator , the fraction becomes 1÷2. Find tge fraction by using crammer rule.
Answer:
[tex]\dfrac{7}{9}[/tex]
Step-by-step explanation:
[tex]\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1[/tex]
[tex]\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5[/tex]
Putting it in matrix form
[tex]\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}[/tex]
From Cramer's rule we have
[tex]x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7[/tex]
[tex]y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9[/tex]
Verifying the results
[tex]\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}[/tex]
[tex]\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Hence, the fraction is [tex]\dfrac{7}{9}[/tex].
Review the function table below. Enter the slope of the function in the box.
Answer:
3
Step-by-step explanation:
1. One factor is a two digit number between 1 and 10 2. One factor is a two digit number between 1 and 10 ( different from the first) 3. The product is greater than 8. But less than 10
Answer: 3.5 * 2.5 = 8.75
Step-by-step explanation:
The factors are to be less than 10 but are should be two digit numbers. The only way this is possible would be if they had decimals.
Which two numbers below 10 can give a product less than 10 but more than 8?
3 and 3 would give 9 which is the closest to our constraints.
Both numbers cannot be similar however and have to have a decimal but the factors should be around 3 but not up to 4 as this would pass the 10.
3.5 * 2.5 = 8.75 would work.
The need the distance
we have a formula for the distance between two poits
AB=[tex]\sqrt{(5-2)^2+(10-2)^2}[/tex]
AB=[tex]\sqrt{3^2+8^2}[/tex]
AB=[tex]\sqrt{9+64}[/tex]
AB=[tex]\sqrt{73}[/tex]
AB=8.54400
AB≈8.54
Answer:
X = root 73
Step-by-step explanation:
Basically you have to use the slope formula and slope intercept aka y = mx+b to find the equation. The equation is: 8/3x minus 10/3 and if you were to set this equation to zero and plug in root 73 you would get 0 meaning this answer is true/right.
How do I do the work?