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
I kind of need help. I completely forgot how to do ratios
Answer:
7:5
Step-by-step explanation:
a:b=4:5
a:c=2:7
c:b=7:5
brainliest please!!!<3
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 tennis camp charges $40 per student for a full-day
camp. The camp runs only if at least 5 students sign
up, and it limits the enrollment to 16 campers a day.
The amount of revenue, in dollars, that the tennis camp
collects is a function of the number of students that
enroll.
The equation R(n)=40n defines this function.
What is the input?
Answer:
40(5)= $200
Step-by-step explanation:
I think thats right but im not sure
what is the ratio 5/7 to 2/7
Answer: What is the ratio of 7 to 2?
Students learn that a ratio is a comparison of two numbers or quantities. For example, if there are 2 shaded parts of a picture and 7 unshaded parts, the ratio of shaded parts to unshaded parts is 2 to 7. Note that the ratio 2 to 7 can also be written as 2:7 or 2/7
What is the ratio of 7 to 5?
20 : 28
5 : 7 = 20 : 28. And 7 is a fourth of 28.
Step-by-step explanation:
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.
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.
Question is in picture
Answer:
[tex] \frac{y - 3}{x - 0} = \frac{3 - 1}{0 - 1} = \frac{2}{ - 1} \\ \frac{y - 3}{x} = - 2 \\ y - 3 = - 2x\\ 2x + y - 3 = 0 \\y = - 2x + 3 \\ \boxed{f(x) = - 2x + 3}[/tex]
B. is the right answer.hope this helps.
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
What are the solutions to 7x^2 + 10x -3 = x^2 + 3x?
Answer:
x=(1)/(3),-(3)/(2)
Step-by-step explanation:
Answer:
(- 3/2, 1/3)
Step-by-step explanation:
7x^2+10x-3=x^2+3x
7x^2+10x-3-x^2-3x=0
6x^2+7x-3=0
6x^2+9x-2x-3=0
3x x (2x+3)-(2x+3)=0
(2x+3)x(3x-1)=0
2x+3=0
3x-1=0
x1=- 3/2
x2= 1/3
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
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:
What is the origin of algebraic expresions plz
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 :)
Suppose (−7, 3) is reflected across the x-axis, and then the y-axis.
What will be the new coordinates?
the answer is (7,-3) ............
Answer:
(7, –3)
Step-by-step explanation:
did it on edgen
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
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
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!
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
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
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]
I need this answer ASAP
Answer:
i think the area is 60 i added it up
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!
Is 3^2 ⋅ 3^−5 equivalent to 1/3^-3
Answer: No
Step-by-step explanation:
3^2 * 3^-5 = 3^(2+-5) = 3^-3, and 3^-3 is obviously not 1/3^-3.
Hope that helped!
Please help thank you :)) image above
Answer:
that's a 90% angle or if uu have a ruler try using that to be sure
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.
Which choices are equivalent to the fraction below? Check all that apply. 16\20
Answer:
To write 16.20 as a fraction you have to write 16.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 16.20 = 16.20/1 = 162/10 And finally we have:
Step-by-step explanation:
hope it work for you.
PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?
Answer:
the original volume is 4.0L
Step-by-step explanation:
Step one:
given data
V1= ?
T1= 52 °C
V2= 6.1L
T2= 79° C
Step two
applying the volume temperature relationship, which is
V1/T1= V2/T2
substituting we have
V1/52= 6.1/79
cross multiply we have
52*6.1= V1*79
317.2= 79V1
divide both sides by 79
V1= 317.2/79
V1=4.0L
what is -1.54166666667 as a fraction
9514 1404 393
Answer:
-37/24
Step-by-step explanation:
We know that 1/6 = 0.166666..., so 1.541666... = 1.54 + 1/600.
Your fraction is ...
-154/100 -1/600 = -925/600 = -37/24
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.
