Answer:
57.5
Step-by-step explanation:
8 km = 5 m
97/8 = 11.5
5 * 11.5 = 57.5
In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.
3 out of 12
1 out of 4
yea hopefully correct
A line passes through the point (4,9) and has a slope of -3/2
What is the y-intercept?
The y-intercept is positive 15
Do the points lie on the same line? Explain your answer.
G(3,3), H(-1,5), X(5,7)
Choose the correct answer below.
O A. The slopes of all three pairs of coordinates are not equal. Therefore, the points do lie on the same line.
OB. The slopes of all three pairs of coordinates are equal. Therefore, the points do lie on the same line.
O C. The slopes of all three pairs of coordinates are equal. Therefore, the points do not lie on the same line.
OD. The slopes of all three pairs of coordinates are not equal. Therefore, the points do not lie on the same line.
-x + 4 = -12
What's x
Answer:
x =16
Step-by-step explanation:
-x+4=-12
-4 -4
-x=-16
/- /-
x=16
Answer:
x=16
Step-by-step explanation:
-x+4=-12
Subtract 4 from -12 ( -16 )
Divide
-x/-16 ( 16 )
x=16
how do you find the perpendicular distance between a line segment and a point? (photo attached) i’m stuck
Answer:
Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]
Approximate Distance = 2.529822
============================================
Explanation:
This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.
First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.
Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.
For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.
Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.
So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get
3x-y = 3(-3)-2 = -9-2 = -11. So D = -11
The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.
At this point, we have this system of equations
x+3y = 11
3x-y = -11
Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)
The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)
The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]
I'm skipping steps because listing everything out would take up way too much space in my opinion.
--------------------------------------------------------
The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.
Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below
[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]
In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.
Also, we'll use (m,n) = (-3,2) which are the coordinates of point H
From here it's a fairly straightforward computation
[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]
Optionally we can rationalize the denominator like so
[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]
There are different ways to write down the answer, but they all represent the same number.
please help 15 points i will give u
the question is "what is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted"
please help!
Answer:
Rate Of Change= 7
Step-by-step explanation:
all you have to do is see the difference, imma make a table here first
x y
1 10
3 24
6 45
11 80
15 108
from 10 to 24 you add 14
from 1 to 3 you add 2
so y/x
14/ 2 = 7
check:
from 24 to 45 you add 21
from 3 to 6 you add 3
so y/x
21/3 = 7
From y/x your final answer will always be 7.
So the rate of change will be 7.
Hope this helped a little!
drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
wice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Vhich system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answer:
g = 2d - 8
g + d = 46
a) An agent sold some carpets at the rate of Rs 4500 each and received Rs 9000 as commission
at 10%. Find the number of carpets he sold.
Answer:
A
Step-by-step explanation:
not sure gusto ko lang tumulong
If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25
Answer:
$36.75
Step-by-step explanation:
You do 5% of 35 which equals 1.75 that’s your sales tax.
then add 1.75+35.00= 36.75
Giving brainliest & a thanks if you answer all of them
At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.
What is the least amount of money Mia can spend? ( IGNORE THIS QUESTION PLEASE)
To get that many noisemakers and hats:
How many packages of noisemakers does Mia need to buy?
How many packages of hats?
If Mia buys that many packages of each item, what is her total cost? Show your work.
Answer:
2) Mia needs to buy 3 packages of noisemakers
3)Mia needs to buy 4 packages of hats
4)Mia will dpend a total of $66
Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2
1
slope intercept form that represents the new line.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
y=x-2
We know that Reflecting over the x-axis inverts the sign of the y-coordinate.
Thus, after reflecting over the x-axis, the equation would be:
-y = x - 2
Now, writing the equation in the slope-intercept form
y=mx+b
where
m is the slope and b is the y-interceptso the equation in the slope-intercept form
-y = x - 2
y = -x + 2
Here,
The slope = m = -1The y-intercept = b = 2Here's a graph of a linear function.
Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
y = 1/2x + 3Step-by-step explanation:
As per graph, using the points (-6, 0) and (0, 3) we determine that:
the y-intercept is 3 and the slope is m = (3-0)/(0 - (-6)) = /3/6 = 1/2So the equation is:
y = mx + by = 1/2x + 3PLEASE DOMEONE HEP ME FIND X ILL GIVE YOU BRAINLIEST
Answer:
4
Step-by-step explanation:
Find the length of the missing side
Answer:
52
Step-by-step explanation:
To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 20 as a and 48 as b and square them both. This will give you 400 for a, and 2304 as b. Add them to get 2704. So, c² = 2704. Find the square root of this to get 52. So, the third side is 52 in length.
which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU
Answer: Translate GHJ by the directed line segment GS. Rotate G'H'J' using T as the center by angle H'TS. Reflect G"H"J" over ST
Step-by-step explanation:
Which decimal is smallest?
Answer:
.8345
Step-by-step explanation:
Find the simplified product
Answer: (b + 3)/2
[tex]\frac{b-5}{2b}.\frac{b^{2}+3b }{b-5}=\frac{b^{2}+3b }{2b}=\frac{b(b+3)}{2b}=\frac{b+3}{2}[/tex]
Step-by-step explanation:
Answer:
(b + 3)/2
Step-by-step explanation:
1. The measure of the largest angle of a triangle is 12 degrees less than the sum of the measures of the other two. The smallest angle measures 58 degrees less than the largest. Find the measures of the angles.
help please:(
Answer:
13
Step-by-step explanation:
Answer:
to much typing
Step-by-step explanation:
Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Wyatt I'm pretty sure so D
Step-by-step explanation:
Please help fast Prefer A Expert or Above to Help Me out it’s the bottom one!
The value is approximate.
==========================================================
Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
-----------
Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.
What is 1/8% as a decimal?
Answer:
1 divided by 8 = . 125.
Step-by-step explanation:
i need this question answered by 2:30 its for 20 points pls help
Answer:
46800
Step-by-step explanation:
10x15x24x13=46800
Please help!
For what value of x must ABCD be a parallelogram?
x=?
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
For a shape to be a parallelogram, the angles that are across from one another have to be equal.
We can now find x by making both equations equal to each other and solving.
[tex]11x+1=13x-5[/tex]
Solve.
[tex]11x+1=13x-5\\6=2x\\x=3[/tex]
HELP HELP HELP ASAP PLEASE IM STUCK
Answer:
I would say A?
Step-by-step explanation:
if i'm not right im sorry :(
Enter a positive common factor (other than 1) of the fractions numerator and denominator 15/25
Which expression represents each mathematical phrase?
Drag the answer into the box to match each phrase.
(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number
(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x
Answer:
(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7
Find the value of x.
Answer:
x=102
Step-by-step explanation:
is the height of 6 and the volume of 96 proportional to the height of 4 and the volume of 64
Answer:
yes it is and there has to be 20 characters so gonna type random stuff after
Answer:
16
Step-by-step explanation:
64 divided by 4 = 16 and 96 divided 6 = 16
which is the slowest rate? a. 2,983 km in 5 hr
b. 5,193 km in 7 hr
c. 3,094 km in 12 hr
d. 1,784 km in 3 hr
Answer:
C. 3,094 km in 12 hr
Step-by-step explanation:
we need to find kilometer per 1 hour so
2983/5=596.6 kilometers per hour
5,193/7= 741.857142857 km per hour
3,094/12=257.833333333 km per hour
1,784/3=594.666666667 km per hour
now which number is lowest
third one
Have a wonderful day! ask me if you have more questions