Answer:
y = -5/4x - 10.75
Step-by-step explanation:
First, put the equation in slope intercept form by isolating y:
5y - 4x = 10
5y = 4x + 10
y = 4/5x + 2
Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4
Plug in the slope and the given point into y = mx + b to find b:
y = mx + b
8 = -5/4(-15) + b
8 = 18.75 + b
-10.75 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = -5/4x - 10.75
Answer:
5x + 4y + 43 = 0
Explanation:
y=mx+b
m=slope
b=y intercept
perpendicuar lines have slopes that multiply to get -1
so
solving for y
add 4x both sides and divide by 5 to get
y=4/5x+2
slope is 4/5
perpendicular means the slopes multiply to get -1
so
4/5 times what=-1?
what=-5/4
so
y=(-5/4)x+b
find b
given the point (-15,8)
8=(-5/4)(-15)+b
8=75/4+b
-43/4=b
y=(-5/4)x-43/4
convert to standard form:
5x + 4y + 43 = 0
Express the number 0.00001038 in scientific notation
Harper Hospital treated 423 patients last week who were children, out of a total of 931 patients. The administrator calculates that they had 408 adult patients. Is the administrator's calculation reasonable? Estimate the number of adult patients by rounding the numbers to check the administrator's calculation.
Answer:
No, the administrator is wrong.
[tex]Adult = 500[/tex]
Step-by-step explanation:
Given
[tex]Total = 931[/tex]
[tex]Children = 423[/tex]
[tex]Adult = 408[/tex]
Solving (a): Is the administrator correct?
No, the administrator is wrong.
This is so because: when the number of children is subtracted from the total patient, the remaining number is not 408
Solving (b): Estimate the number of adults
By rounding up:
[tex]Adult = Total - Children[/tex]
Actual Figures
[tex]Adult = 931 - 423[/tex]
Round up
[tex]Adult = 900 - 400[/tex]
[tex]Adult = 500[/tex] -- approximately
A nursery owner buys 9 panes of glass to fix some damage to his greenhouse. The 9 panes cost $22.05 Unfortunately, he breaks 4 more panes while repairing the damage. What is the cost of another 4 panes of glass?
Answer: $9.80
Step-by-step explanation:22.05/9=2.45x4= 9.80
Answer:
$4.30
Step-by-step explanation:
Two panes of glass cost $4.30.
Explanation
First find the cost of one pane of glass (the "unit cost")
7 panes of glass cost
$
15.05
, so one pane of glass costs
15.05
÷7∩
$2.15 ← cost of one pane of glass
Then use that answer to find the cost of two panes of glass
If one pane of glass costs $2.15, then 2 panes cost 2× $2.15 $4.30 ← cost of two panes of glass
Answer:
Two panes of glass cost $4.30.
⚠️⚠️marking brainliest⚠️⚠️
It’s a math question :((
Answer:
slope: 3 y-intercept: 9
Step-by-step explanation: 19-10 is 9, and 6-3 is 3 9/3 is 3.
28-19 equals 9. 19-10 is 9, so 9 fills out that blank beside 10.
Answer:
slope is 3 and in the blank goes 1. and y intercepts line at y=1
When I graph the inequality symbol > should it be a open or closed
circle on the number line?
Answer:
It should be open.
Step-by-step explanation:
Hope this helped!
Please help me with this equation. It’s solving systems of equations.
Moving downstream (with the current), the boat moves at a rate of (252 mi)/(12 h) = 21 mph. Upstream (against the current), it moves at a rate of (252 mi)/(84 h) = 3 mph.
When traveling downstream, the boat's speed is the sum of its own speed in still water and the speed of the current. It's the same going upstream, but the boat and current move in opposite directions. Let b and c denote these speeds, respectively. Then
downstream: b + c = 21 mph
upstream: b - c = 3 mph
Adding these equations eliminates c and lets us solve for b :
(b + c) + (b - c) = 21 mph + 3 mph
2b = 24 mph
b = 12 mph
Now solve for c :
12 mph + c = 21 mph
c = 9 mph
Write sec 325° in terms of the secant of'a positive acute angle.
Answer:
sec35°
Step-by-step explanation:
sec325° = sec(360 - 325)° = sec35°
The secant of a positive acute angle of sec 325° = sec 35° = 1.22077
What are Trigonometric Ratios?
Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given data ,
The trigonometric ratio is = sec 325°
Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.
And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.
Therefore , sec 325° = sec ( 360° - 35° )
= sec ( 35° )
=1.22077
Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077
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Give 5 reasons explaining why math is your favorite subject.
Give 5 reasons why you dont like math.
Give 5 areas that math can help you now or in the future.
Answer:Math is important
Step-by-step explanation:
It could help you get into collage and get a good job and with that you could start your life.
Answer:
1.)
I love working with numbers
I love math because of what a challenge it is
I love math because I can become a engineer
I love math because I can also become a doctor with it
I love math because it is useful
2.)
I don't like math because of the word problems
I don't like math because it sometimes gets too easy
I don't like math because I usually have to help others
I don't like math because people call me a nerd
I don't like math because it makes me explain in words
3.)
when your in the store and it helps you with knowing how much your spending
lets you know about if the discount in the store is really good or bad
helps you with becoming certain things when you grow up
it will help you with most of your jobs
Will help others if you know it, you can share your knowledge
Step-by-step explanation:
brainlist pls :>
2\3n = -12 what value of n makes this equation true
Answer:
-0.055555555555556
Step-by-step explanation:
f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).
Answer:
(f+g)(x) = 3x - 8 -x -4
(f+g)(x) = 2x-12
(f+g)(5) - substitute 5 into x
(f+g)(5) = 2(5)-12
(f+g)(5) = 10-12
(f+g)(5) = -2
Step-by-step explanation:
HELP PLEASE!!!
I’ll give brainlest
what is the answer a, b, c, or d
Answer: Choice B
(-2, 5)
==================================================
Explanation:
The original system is
[tex]\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}[/tex]
Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations
[tex]\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}[/tex]
Now add straight down
The x terms add to -4x+3x = -1x = -x
The y terms add to 3y+(-3y) = 0y = 0
The terms on the right hand sides add to 23+(-21) = 2
We end up with the equation -x = 2 which solves to x = -2
Now use this to find y. You can pick any equation with x,y in it
----------------
-4x+3y = 23
-4(-2)+3y = 23
8+3y = 23
3y = 23-8
3y = 15
y = 15/3
y = 5
Or
x-y = -7
-2-y = -7
-y = -7+2
y = -5
y = 5
Either way, we get the same y value.
So that's why the solution is (x,y) = (-2, 5)
Find the cos of angle c
A.3/5
B.6/5
C.5/3
D.1
need help pease its due at 11;59pm today explian
Answer:
65
Step-by-step explanation:
you add all the numbers inside.
80+35= 115
You have to make sure it equals to 180 to find angle 1.
Therefore, 180-115=65.
Which difference is closest to 12?
A. 89−1112
B. 67−19
C. 1516−38
D. 35−611
Answer:
b
The rest are at least 500 numbers away from 12
Step-by-step explanation:
What is the image of (-5, 6) after a reflection over the line y = -2
Answer:
I'm pretty sure it would be (5,6)
Step-by-step explanation:
Reflecting a point over the Y-axis would change the x-coordinate, but not the y-coordinate
If f(1) = 1, what is f(3)?
Answer:
would be 3
Step-by-step explanation:
if 1 is 1 ,3 would be 3 ;-;
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?
Answer:
85%
Step-by-step explanation:
The probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
What is the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. The total number of marbles in the bowl is,
[tex]n=5+2+10+3\\n=20[/tex]
The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,
[tex]P=\dfrac{3}{20}[/tex]
The probability that Fiona pulls out a marble that is not white is,
[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]
Thus, the probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
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3b) Two pizzas are made to the same dimensions. The only difference is that
Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are
sold by the slice. The slices for Pizza 1 sell for $1.45/slice and the slices for Pizza 2
sell for $1.75/slice. What is the difference in total sales between Pizza 2 and Pizza
1?
Step-by-step explanation:
$0.30 because they only sell 30 cents less/more than each other
(-2,-4) and (6,7)
Need help show steps too
Answer:
Step-by-step explanation:
period
What is the measure of angle a
Answer:
48
Step-by-step explanation:
42 + 90 = 132
180 - 132 = 48
Simplify the expression
Answer:
B
Step-by-step explanation:
BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?
Answer:
4
Step-by-step explanation:
The perpendicular slope means opposite reciprocal
opposite: 1/4
reciprocal: 4
Answer:
The slope is undefined
Step-by-step explanation:
Rate me please
The teacher separated her group of 28 students into 2 groups. One group has 4 more than twice as many students as the other group. How many students are in each group?
Answer:
one group has 12. one has 16. 12 + 16 = 28. 16 is 4 more than 12
123476870975 divide by 5
Answer: 24695374195
Step-by-step explanation: did you really need this?
Exit ticket help please
Answer:
The answer is B
Step-by-step explanation:
I am learning the same thing somehow
PLZ HELP !!!!!!
28x+36y=2520 Write this in slope intercept form or graph!!
Answer:
y= -7/9 x+70
Step-by-step explanation:
28x+36y=2520
36y=-28x+2520
y= -7/9 x+70
PLease help with this question? I also need an explanation on how you got the answer
Answer:
25%
Step-by-step explanation:
1. there are 8 triangles
2. 2 twos
3. 2/8
4. 2/8=25%
Which statements are correct interpretations of this graph?
Select each correct answer. (multiple choice question)
A. 3 boxes are filled every 4 min.
B. 4 boxes are filled every 3 min.
C. 1.3 boxes are filled per minute.
D. 0.75 boxes are filled per minute.
(Graph down below)
Answer:
A
Step-by-step explanation:
[tex]\boxed{~ Hello!\; here's\; your \;answer!}[/tex]
___________________________________________________________
[tex]\huge\boxed{A.}[/tex]
___________________________________________________________
A's Explanation...
The first point given is at 3 and 4. 3 is at "Boxes Filled" While 4 is at "Time (Min)". Therefore, your answer is A, 3 boxes are filled every 4 min.
___________________________________________________________
[tex]\boxed{Hope\;I\;helped!}\\\\\\\boxed{May\;I\;Have\;Brainliest?}\\\\\\\\\huge\boxed{Thanks,\;Plip.}[/tex]
___________________________________________________________
Given the points below, find
XY
XY
.
X(-9, 2)
X(−9,2)
and
Y(5, -4)
Y(5,−4)
Answer:
XY=(-45,-8)
Step-by-step explanation:
XY=(-9,2)(5,-4)