an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?
Answer:
y = -⁴/₅x + 14Step-by-step explanation:
Changing to slope-intercept form:
-10x + 8y = 3 {add 10x to both sides}
8y = 10x + 3 {divide both sides by 8}
y = ⁵/₄x + ³/₈
Two lines are perpendicular if the product of their slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
y = ⁵/₄x + ³/₈ ⇒ m₁=⁵/₄
⁵/₄×m₂ = -1 ⇒ m₂ = -⁴/₅
The line y=-⁴/₅x+b passes through point (15, 2) so the equation:
2 = -⁴/₅×15 + b must be true
2 = -12 + b
b = 14
Therefore equation in slope-intercept form:
y = -⁴/₅x + 14
Please I need help with this 3.1 (p-2.7)
Answer: 3.1p - 8.37
Step-by-step explanation:
To find the solution, you need to distribute 3.1 to each of the values within the parenthesis (p and -2.7, respectively).
3.1 x p = 3.1p
3.1 x -2.7 = -8.37
Combine components
3.1p - 8.37
The cost of renting a canoe to use on River Y costs $. The cost of renting a canoe to use on River Z costs $ per hour plus a $ deposit. The total cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.
You have to rent a canoe for___hours for the cost to be the same.
Answer:
7 hours
Step-by-step explanation:
I need this answer ASAP
Answer:
i think the area is 60 i added it up
Can someone tell me what the slope is ?
Answer:
-5/4
Step-by-step explanation:
rise/run = -5/4
hope this helps <3
Answer:
-5/4
calculator lol (and rise over one)
A curtain company has 1,787 yards of fabric to make identical curtains. If each curtain requires 6.5 yards of fabric, how many curtains can be made? a. 273 b. 274 c. 275 d. 276
Answer:
D. 274
Step-by-step explanation:
divide 1787 by 6.5 yds to get the answer, 274.
convert 8x-10y=20 into slope intercept form
Answer:
y=⅘x-2
Step-by-step explanation:
8x-10y=20
-10y=-8x+20
y=⅘x-2
A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h
Answer:
The height of cylinder is 9 cm
Step-by-step explanation:
Volume of cylinder = 198 cm³
Base Area = 22 cm²
We need to find height of the cylinder
The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]
Where [tex]Base\: Area = \pi r^2[/tex]
First we need to find radius r
[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]
So, we get radius r = 2.656
Putting values of volume and radius are to find height
[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]
So, the height of cylinder is 9 cm
It costs $3.45 to buy ¾ lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning.
Answer:
It would cost $ 34.5
Step-by-step explanation:
Given,
The cost of 3/4 lb of chopped walnut = $ 3.45,
So, the cost of 1 lb of chopped walnut = 4/3*3.45
=4*1.15
= $ 4.6,
Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut
= 7.5 × 4.6
= $ 34.5
share 1200kg in the ratio 3:37
Answer:
3+37=40
3/40×1200=90kg
37÷40×1200=1110kg
Step-by-step explanation:
''.''
Answer:
[tex]3x+37x=40x\\40x=1200kg\\x=\frac{1200}{40} \\x=30kg\\[/tex]
[tex]3x=30kg*3=90kg\\37x=30kg*37=1110kg[/tex]
Help please thank you !
Answer:
3
Step-by-step explanation:
2/36=x/54
Cross multiply and find x
Answer:
it is 3 cups!
Step-by-step explanation:
36+18=54
2 cups were used for 36, 3 cups were used for 54 :)
7th grade math please help
Answer:
3.8 x 4.5
+
3.8 x 5.1 divided by 2!
Step-by-step explanation:
You can turn it into 2 squares, or follow the hints!
Challenge The numbers of home runs a baseball player hits during spring training and during the regular season for four years are shown. Decide if the relationship between home runs hit in spring training and during the regular season is proportional. If the table represents a proportional relationship, find how many home runs are hit during the regular season if the player hit 3 during spring training
Answer:
12
Step-by-step explanation:
Key word: Most likely
First try to find the constant of proportionality
8/2= 4
4/4= 1
20/5=4
24/6=4
Since it says most likely we would say the constant of proportionality is 4.
Since they are asking for 3 homes runs we will do 3 times 4
[tex]3[/tex]×[tex]4=12[/tex]
The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
What is constant of proportionality?The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Finding the constant of proportionality :-
8/2= 4
4/16= 4
20/5=4
24/6=4
Since, the constant of proportionality is 4.
And, they are asking for 3 homes runs we will do 3 times 4
Therefore, 3 x 4 = 12
Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
Learn more about constant of proportionality click;
https://brainly.com/question/29153656
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A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?
Answer:
wish i could help have a gret day
Step-by-step explanation:
Answer:
43-7=36
Number of children in the group=36/2
=18children are there in the group
Step-by-step explanation:
Help due at 11:59 please help
Answer:
Step-by-step explanation:
the last choice looks good
Answer: Its the bottom one i believe
Step-by-step explanation:
Domain slope stuff you don't want to hear have a good night :)
I need help please! Thank you
Answer:
2/5
Step-by-step explanation:
First, we substract the y variables.
y - 2 - y - 3 = 1
2(1) = 2
Then we subtract the bottom numbers.
5-2 = 3
The answer is 2/5
Answer:
y = 4
Step-by-step explanation:
Can somebody help me. Will mark brainliest
Answer:
the first two reason are given then the last one is cpctc
Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4
ft, and the width is
81
1/4
ft. If the fence is
3/4
finished, how much fencing is left to complete?
Answer:
4,923.75ft²
Step-by-step explanation:
The area of the backyard = Length * width \
Area of the backyard = 75 3/4 * 81 1/4
Area of the backyard = 303/4 * 325/4
Area of the backyard = 6,154.6875ft²
If 3/4 of the fence is finished, the area of the finished part is expressed as;
Finished part = 1/5 * 6,154.6875
Finished part = 1,230.9375ft²
Part left unfinished = 6,154.6875-1,230.9375
Part left unfinished = 4,923.75ft²
Answer:235.5
Step-by-step explanation:
75 3/4= 75.75 (L). 81 1/4= 81.25 (W)
Perimeter= 314 3/4 of 314 is 235.5
Given that there are 5280 feet in a
mile and 60 minutes in an hour, convert 60mph to
feet per minute
(Please I need help badly)
Answer:
Correct answer to the question: There are 5280 feet in a mile and 60 minutes in an hour (needless to say). How fast is a car going 30 miles per hour traveling in feet per minute?
I hope it helps :)
help please, 25 points! pythagorean thereom
Answer:
the pythagorean thereom is a^2 + b^2 = c^2
Step-by-step explanation:
to find the length of the hypotenuse use a^2 + b^2 = c^2 or b^2 + a^2 = c^2
but in order to find the length of the legs use c^2 - a^2 = b^2 or
c^2 - b^2 = a^2
Fred buys 6 pizzas. Each pizza is cut into 3 than z slices. How many total slices are there?
Answer:
I think it's 18z slices, please tell me if i'm wrong!
Step-by-step explanation:
6*3 = 18
18*z = 18z
I think it's 18z slices, please tell me if i'm wrong!
need help FAST not sure
9514 1404 393
Answer:
7. obtuse
8. right
9. acute
Step-by-step explanation:
You can look at the difference ...
a^2 + b^2 -c^2
where c is the longest side. You can classify the triangle based on the result:
> 0 -- acute
= 0 -- right
< 0 -- obtuse
__
7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95 ⇒ obtuse
8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0 ⇒ right
9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5 ⇒ acute
_____
There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.
Pls help
Simplify the logarithmic expression
9514 1404 393
Answer:
log₁₂(4)
Step-by-step explanation:
The applicable rule of logarithms (to the same base) is ...
log(a^b) = b·log(a)
__
Then the expression simplifies as follows:
[tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]
A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show and park. A. Find the solution to the equation you chose for the story above. B. Explain what the solution means in the context of the story.
In triangle QRS, the measure of
angle Q is 70º. Angle R is
congruent to angle S. What is the
measure of angle R in degrees?
Answer:
55 degrees :)
Step-by-step explanation:
all triangles add up to 180 degrees.
we already have 70 degrees and since <S = <R they are the same # of degrees.
subtract 70 from 180 and we get 110.
divide 110 by 2=55
<S 55
<R 55
<Q 70
Answer:
62
Step-by-step explanation:
PLEASE HELP
Given the roots or x-intercepts -2 and 3, when expanded, the quadratic equation is:
Answer:
you're correct! the answer is c
Step-by-step explanation:
the factors would be (x+2)(x-3) and when you solve that you get c
Answer:
6
Step-by-step explanation:
-2/100 x x/3
A hiker stands on a small hill and tosses a stone. The stone then follows a path with height h above the ground at time t. The function
h(t) = - 16t2 + 16x + 32 models the stone's path. How long does it take the stone to reach its maximum height?
Answer:
At time t=0.5, the stone reaches a maximum height of h= 35.
Step-by-step explanation:
A quadratic function or function of the second degree is a polynomial function defined by:
f(x)=a*x² + b*x +c
The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values of a function.
The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").
h represents the value of its abscissa (value of x).
k represents the value of its ordinate (value of f (x)).
The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]
The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c
In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:
[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]
Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:
f(0.5)=-16*0.5² + 16*0.5 +32
f(0.5)= 35
At time t=0.5, the stone reaches a maximum height of h= 35.
Given S'T'U'V' is a dilation of STUV, find the scale factor of dilation.
Step-by-step explanation:
Scale factor of STUV to S'T'U'V
= Length of T'U' / Length of TU
= 6/12 = 0.5.
If there are 1.61 kilometers in a mile and also 5,280 feet in a mile, then how many feet are there in 3 kilometers?
Answer:
There are 9838.5 feet in 3 kilometers.
Step-by-step explanation:
Given that:
There are 1.61 kilometer in a mile.
1 mile = 1.61 km
Also,
1 mile = 5280 feet
Comparing,
1.61 km = 5280 feet
1 km = [tex]\frac{5280}{1.61}[/tex] feet
1 km = 3279.50
3 km = 3279.50 * 3
3 kilometers = 9838.5 feet
Hence,
There are 9838.5 feet in 3 kilometers.
A distance of 3 kilometers is equal to 9,838.5 feet.
Given to us:
1 miles = 1.61 kilometers,
1 miles = 5,280 feet,
from the above to equations we can conclude,
[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]
So, now for 3 kilometers we can conclude that,
[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]
Hence, A distance of 3 kilometers is equal to 9,838.5 feet.
To know more visit:
https://brainly.com/question/1844971
Find the coordinates of the vertices of each figure after the given transformation.
1) translation: (x, y) = (1 + 1, y - 5)
D(2.0), E(1.2), F(2.3). G(4,2)
A) D(-1, 1), E(-2, 3), F(-1,4), G(1,3) B) D(-4,-1), E(-5, 1), F(-4,2), G(-2, 1)
C) D(3,-5), E(2, -3), F(3,-2), G(5,-3) D) D(-4,1), E(-5,3), F(-4,4), G(-2,3)
ОА
О.
B
С
O
O
D