Consider the triangle A(4,0), B(-2,4), C(0,6)
What will be the equation of the altitude BM?
Answers
Answer:
BM: y = (2/3) x + 16/3 with segment length of 2.77
Step-by-step explanation:
AC formula: m = (6-0)/(0-4) = -3/2
(y-0)/(x-4) = -3/2 y = (-3/2)x + 6 ... (1)
BM slope: BM⊥ AC m = 2/3
BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3
y-4 = 2/3 x + 4/3
y = (2/3) x + 16/3 ... (2) -2≤x≤0.31
intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3
(13/6) x = 2/3 x = (2/3) / (13/6) = 4/13 ≈ 0.31
y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54
M (4/13 , 72/13) or (0.31 , 5.54)
segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77
Related Questions
Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1
The indicated Z score is what?
Answers
The indicated Z score according to the given graph will be z < -0.1635
The normal distribution has a mean-values between 0 and 1.
From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.
According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635
Learn more here: https://brainly.com/question/24213960
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
Answers
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin
Find the slope of the line through each pair of points
(10, -14), (11,11)
Answers
Hello there! I can help you with joy! :)
If we have 2 points, then we can find the slope using this formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
y2=11
y1=-14
x2=11
x1=10
[tex]\frac{11-(-14)}{11-10}[/tex]
[tex]\frac{11+14}{1}[/tex]
25
Hope this helps you!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
A sweet potato casserole recipe calls for cup of flour for 4 servings. To serve 16 people, how much flour is needed?
Answers
Answer:
4 Cups of Flour
Step-by-step explanation:
3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets
Answers
Answer: It will be D
Step-by-step explanation: 5 divided by 8 is 1.2
A parabola can be drawn given a focus of (-9,6) and a directrix of x = -1. What
can be said about the parabola?
Answers
-16x-80=(y+1)^2
The vertex would be :
(-5,-1)
Eccentricity 1
Axis of symmetry y=-1
x intercept (-8/16, 0)
No y intercept
And the graph pic of parabola is in attached pic
If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house payment?
Answers
Answer:
The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%
the scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map
A. 1.5 km
B. 2.4 km
C. 60 km
D 20 km
Answers
2.4 please follow mee i think this is answer
8.618 divided by 0.695
Answers
Answer:
8.618 divided by 0.695= 12.4
hope this helps <3
Is (-12,8) a solution to 2x+y=40
Answers
Answer:
no it is not. the line crosses the x in 20, and crosses the y in 40
suppose a varies directly as b, and a =8 when b =3 find b when a =24
Answers
Answer:
b=9
Step-by-step explanation:
since a varies directly as b,
a=kb
k=a/b
k=8/3
but when a=24, b will be given by
b=a÷k
b=24÷8/3, b=24×3/8
b=9
how do i solve this type of rational equation (x^2-16)/(4-x)
Answers
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answers
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]
Step-by-step explanation:
Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].
We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].
Combining like terms on the left side gives [tex]5x+25=180[/tex].
Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].
Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].
So, the first angle is [tex]31^{\circ}[/tex].
The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].
The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].
So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!
The check that these angles work is left as an exercise to the reader.
The perimeter of the rectangle below is 56 units. Find the length of side BC.
Write your answer without variables.
DC = 3x - 2 DA = 2x
BC = ?
Answers
Answer:
12 unitsStep-by-step explanation:
Perimeter formula:
P = 2(l + w)Given:
l = 3x - 2w = 2xP = 56Find the value of x:
2(3x - 2 + 2x) = 565x - 2 = 285x = 30x = 6BC is parallel side to AD and is:
BC = AD = 2*6 = 12BC must parallel to DA hence equal
Now
2(Length+Breadth)=Perimeter2(3x-2+2x)=56(5x-2)=285x=30x=6BC=2(6)=12units
Step by step please!
One-ninth of the candies in a bag of M&M's are red. If there are 16 red candies, how many M&M's are in the bag?
Answers
Answer:
21
I hope this helped I would appreciate brainliest if possible
Find the missing length
Answers
Step-by-step explanation:
with the height in a right triangle, we get 3 right triangles (the original one, and the 2 on both sides of the height). all 3 of these triangles are similar to each other.
that means (among other things) the ratios of 2 sides of one triangle must be the same ratio of the corresponding sides in the other triangle.
x/64 = 36/x
x² = 36×64
x = sqrt (36×64) = 6×8 = 48
long story short, x is the geometric mean value of the segments of the Hypotenuse.
geometric mean value means the nth root of the product of n numbers.
in our case - square root out of 2 numbers (the segment lengths).
4. Find the scale factor using the given scale drawing and measurements below.
Answers
Answer:
Actual=3cm
Scale=5cm
3x=5
3/3x=5/3
X=5/3
The scale factor is 5/3
Pa help po pleass po
Answers
Answer:
Refer to the attachment
Check all solutions to the equation. If there are no solutions, check 'None."
x = -5
Answers
Answer:
None
Step-by-step explanation:
As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".
Definition: Absolute Value is the distance a number is away from 0.
Therefore, Distance can never be 0.
helppppp pleaseeee ill literally do anything!!!!!!!!!!!!!!!
Answers
Answer:
33ft^2
Explanation:
surface area of square pyramid equation: [tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} +h}[/tex]
A = 34.63, so none of the answers shown are really it.
A giant prepared a big feast. If he invites another giant, they will finish the feast in 10 hours. He decides to invite 4 giants. How many hours will it take him and giant friends to finish the feast?
Answers
Answer:
1 1/4
Step-by-step explanation:
t=(m+b)x solve for x
Answers
Answer:
[tex]x=\frac{t}{m+b}[/tex]Step-by-step explanation:
T = (m + b)x
Divide both side by (m + b):
[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]
Cancel out (m + b) and you have your answer!
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
Solve the photo above ⬆️
Btw these one's are gonna be a bit more confusing for me, so expect me to atleast probably send 7 more ^^|l|l
Answers
Answer:
7¹⁰ :) hope this helps you!!
The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answers
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
Algebra 2 Need help with b
Answers
Answer:
a. was incorrect a = -0.109569028 so...
y = -0.109569028(x + 7)² + 54
b. It's been the above vertex equation for a parabola then
set y = 40 equal to the parabolic equation, we get
40 = -0.109569028x² - 1.533966392x + 48.631117628
solve for x we get
x = -18.3036867393939 or ~ 18.3 feet
Step-by-step explanation:
y = a(x - h)² + k
(h, k) = vertex = (-7, 54)
x = h is the axis of symmetry -7
y = a(x -(-7))² + 54
y = a(x + 7)² + 54
solve for a by inputting the point (15.2, 0)
0 = a(15.2 + 7)² + 54
-54 = a(22.2)²
-54 = 492.84a
a = -54/492.84
a = -0.109569028
Help!!![tex]What is the measure of ∠L?[/tex]
Answers
Answer:
60°
Step-by-step explanation:
1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.
Therefore, ∠L is 60°.
Kareem makes muffins using a ratio of 3.5 cups of flour for every 1.75 cups of sugar.
If he has 3.5 cups of sugar, how much flour does he need to make the muffins?
The constant of proportionality for the amount of flour to sugar in this recipe is ___.
If Kareem uses 3.5 cups of sugar, he will need ___ cups of flour.
Answers
The constant of proportionality for the amount of flour to sugar in this recipe is 2.
If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.
Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.
Let y represent the cups of flour and x represent the cups of sugar. Hence:
3.5 cups of flour for every 1.75 cups of sugar:
y ∝ x
y = kx
k is the constant of proportionality
3.5 = 1.75k
k = 2
y= 2x
If Kareem uses 3.5 cups of sugar, he will need:
y = 2x = 2(3.5) = 7
The constant of proportionality for the amount of flour to sugar in this recipe is 2.
If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.
Find out more at: https://brainly.com/question/21126582
If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?
Answers
Answer:
The correct answer is 9.
Step-by-step explanation:
To get this solution, you would need to use division.
[tex]\frac{54}{6} = 9[/tex]
--
To be sure that the answer is correct, check your answer.
[tex]9*6 = ?[/tex]
[tex]9*5 = 45[/tex]
Since the easiest way to determine the multiple of 9 is 5, all you need to do is add another 9.
[tex]45+9=54[/tex]
--
**Remember: You are able to check if your answer(s) are correct in any way you are comfortable with.
Answer:
$9 per cupStep-by-step explanation:
Let the unit price is x.
6 cups cost $54:
6x = 54x = 54/6x = 9Helppppppppp plzzzzzzzzzz
Answers
4 No
-6 yes
9 No
I’m pretty sure sorry they ain’t in order
3x+2=23
Please show steps on how to do.
Answers
Answer:
x = 7
Step-by-step explanation:
3x+2=23
Subtract 2 from each side
3x+2-2 = 23-2
3x = 21
Divide each side by 3
3x/3 = 21/3
x = 7
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 3x + 2 = 23
Then the value of x will be,
→ 3x + 2 = 23
→ 3x = 23 - 2
→ 3x = 21
→ x = 21 ÷ 3
→ [ x = 7 ]
Hence, the value of x is 7.