Answer:
(b) 4.2
Step-by-step explanation:
The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.
We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...
y = 2/3x
3y = 2x
2x -3y = 0 . . . . . . general form equation for the line through the points.
The formula for the distance from (x, y) to the line ax+by+c=0 is ...
d = |ax +by +c|/√(a²+b²)
The distance from (x, y) to our line is given by the formula ...
d = |2x -3y|/√(2² +(-3)²)
d = |2x -3y|/√13
For point P(9, 11), the distance to the line is ...
d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2
A rectangle is a parallelogram. What is true of the diagonals of a rectangle that is not
true of the diagonals of a parallelogram, in general?
1) They are congruent
2) they bisect the angles of the rectangle
3) they bisect each other
4) they are perpendicular
Answer: 1
Step-by-step explanation:
Diagonals of rectangles and squares are congruent, but not necessarily for a general parallelogram.
What is x' value when 5x=10?
Answer:
x=2 because 5*2=10
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
5x = 10
or, x = 10/5
or, x = 2 :)) (would love if you could mark me the brainliest)
solve the equation e^3x-4=3
We are given with a equation i.e ;
[tex]{:\implies \quad \sf e^{3x}-4=3}[/tex]
Transpose 4 to Right-Hand-Side ;
[tex]{:\implies \quad \sf e^{3x}=7}[/tex]
Now , Taking Natural logarithm to both sides ;
[tex]{:\implies \quad \sf ln(e^{3x})=ln(7)}[/tex]
[tex]{:\implies \quad \sf 3x \: ln(e)=ln(7) \quad \qquad \{\because ln(a^{b})=b\: ln(a)\}}[/tex]
[tex]{:\implies \quad \sf 3x=ln(7) \quad \qquad \{\because ln(e)=1\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{ln(7)}{3}}}}[/tex]
angle abc and angle cbd are supplementary angles the measure of angle cbd is 41 degrees what is the measure of angle abc
Answer:
139
Step-by-step explanation:
180-41=139
can someone help me , what is 525 x 358 ?
Answer:
187,950
Step-by-step explanation:
your welcome
Which point is located at (0,8)?
A. Point I
B. Point C
C. Point M
D. Point H
Answer:
point c it is obvious u go u from the middle to 0,8 and it is c
Answer for ( f^-1 )
Answer:
Changes made to your input should not affect the solution:
(1): "^-1" was replaced by "^(-1)".
STEP
1
:
Final result :
f(-1)
Step-by-step explanation:
PLease tell me if right
Considering an arbitrary number system with the independent digits as 0,1 and x. What is the radix of the number system
Using it's concept, it is found that the radix of the arbitrary number system is of 3.
What is the radix of a number system?It is the number of different digits that the system has, for example:
The binary system has radix 2, as it has digits 0 and 1.The decimal digit has radix 10, as it has 10 digits from 0 to 9.In this problem, the digits are 0, 1 and x, hence the radix of the arbitrary number system is of 3.
More can be learned about the radix of a number system at https://brainly.com/question/12569036
i have a couple more questions left and i'll stop bothering y'all lol thank you for your help <3
Answer:
[tex]\huge\boxed{\sf FG = 20.3 }[/tex]
Step-by-step explanation:
If two secants are drawn from a point outside the circle, then the formula used for it will be:
(FG + GH) × GH = (JI + IH) × IH
Given that IH = 29, JI = 23 and GH = 30
(FG + 30) × 30 = (23 + 29) × 29
(FG + 30) × 30 = 52 × 29
(FG + 30) × 30 = 1508
Divide both sides by 30
FG + 30 = 1508 / 30
FG + 30 = 50.3
Subtract 30 to both sides
FG = 50.3 - 30
FG = 20.3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Joelle earns her regular pay of $12.50 per hour for up to 40 hours of work in a week. For each hour over 40 hours in a week, Joelle is paid 1 1/2 times her regular pay. How much does Joelle earn for a week in which she works 48 hours?
answer:
well, 600
Step-by-step explanation:
1. joelle got 12.50/h
2. she work to 40h/w
3. 12.5x40= e/w, is equal to 20+(12x40) = 500.
4. 500 + 1h/$12.5, 8h = 500 + 8x12 + 8x(1/2)
5. 500 + 96 + 8x1/2(8 x 1/2 is 4 because it is the hath) = 600
PLEASE HELP
Can anyone explain to me what the pythagorean theorem is? I never received an explanation when I asked my teacher for help
Answer:
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Step-by-step explanation:
It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation: a²+b²=c², where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides.
0.1 0.01 1 1.1 0.019
from largest to smallest
Find the z value to the left of the mean so that 82.12% of the area under the distribution curve lies to the right of it.
Please explain!
P(z)=0.1788
z = - 0.91995
(4x-5y)-(x-y) six =6,y=-4
Ayudaaaa
Answer:
the answer is 54 !!!!!!!!!
Answer:
34
Step-by-step explanation:
(4x-5y)-(x-y) if x=6 and y=-4
step one:
4x=24
5y=-20
24- (-20)= 44
x-y=10
44-10=34
I'm pretty sure I'm right because I worked it out on a calculator and if it changed the minus in 4x-5y to a + then that means the minus here
(4x-5y - < -- (x-y) is not supposed to become a + sign
Find the surface are of the triangular prism
A. 315 in
B. 539 in
C. 469 in
D. 784 in
Answer:
i think ur answer is c option
Need help with this problem
Answer:
x=6
Step-by-step explanation:
scale factor is 2
3(x-1) = 2(7.5)
10 = 2(x-1)
What is the answer to the equation 7x+5
Answer:
The length of JM is 40
Step-by-step explanation:
Since 7x+5 and 8x are both equal, we can make this equation:
7x+5=8x
-7x -7x
x=5
7(5)=35
35+5=40
What is the radius of a circle (rounded to the nearest tenth) that has a circumference of 87 cm?
a
Answer:
13.9
Step-by-step explanation:
Answer:
To find the radius from the circumference of a circle, you have to do the following:
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius.
hace 6 días
what is the constant of proportionality in the equation 3y=2r
Answer:
2/3 is the answer for that question
Answer:
[tex]\dfrac23[/tex]
Step-by-step explanation:
Rearrange to make y the subject:
[tex]\implies y=\dfrac23r[/tex]
Therefore, the constant of proportionality is [tex]\dfrac23[/tex]
If x=3 what is the value of y in this equation?
Y=12x
a. 123
b. 36
c. 3
d. 15
Answer:
[tex]\displaystyle \large{y=36}[/tex]
Step-by-step explanation:
We are given the equation [tex]\displaystyle \large{y=12x}[/tex]. To find y-value when or at x = 3, simply substitute x = 3 in which gives us [tex]\displaystyle \large{y=12(3)}[/tex] then evaluate the value as we obtain the y-value or final answer to the question:
[tex]\displaystyle \large{\boxed{y=36}}[/tex]
If you have any questions about this question or for clarification, do not hesitate to ask in comment!
Tom bought a soft drink for 4$ and 4candy bars. He spent a total of 12$ him Mitch did each candy bar cost
Answer:
$2 each
Step-by-step explanation:
Write an inequality for the situation The value, v, of the necklace is greater than $83
Answer:
v > 83
Step-by-step explanation:
V: represents the necklace
83: V must be greater than 83
>: greater than symbol
Have a great day!
Please mark brainliest!
what happens to the volume of a sphere when it is quadrupled?
The volume of the sphere, which is quadrupled, is 64 times the initial volume or in other words, the volume of the quadrupled sphere increases by 64 times.
What is volume?The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
There is a sphere that converts into the quadrupled sphere,
The volume of the sphere can be given as shown below,
Initial Volume = 4 / 3 π a³
Here a is the radius of the sphere
When the sphere is quadrupled, the new radius will be 4a,
The volume of new sphere = 4 / 3 π (4a)³
The volume of new sphere = 4 / 3 π × 64 a³
The volume of the new sphere = 64 × 4 / 3 π a³
The volume of the new sphere = 64 × Initial Volume
To know more about volume:
brainly.com/question/13807002
#SPJ2
What is the average rate of change over the interval [-1,2]
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so let's take a peek at the table, so hmmm when x = -1, b(x) = 1, so we have the point (-1 , 1), and when x = 2, b(x) = 7, so we have the second point of (2 , 7)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{6}{2+1}\implies \cfrac{6}{3}\implies 2[/tex]
The equation l 7x-1 l= 10 is equivalent to
or
Answer:
NO!
Step-by-step explanation:
b/equivalent fraction is two fraction exactly the same solution set!but this no the same solution set!
7x_ 1=10
6x/6=10/6
x=1.666667
so,No!
(0.4+8(-0.8*5/8)-5 divided by 2 1/2) divided by ((1 7/8*8-(8.9-2.6 divided by 2/3))*34 2/5) *90
I WILL GIVE YOU BRIANLIEST
Answer:
-1.46511627907
Step-by-step explanation:
What is smaller than 1/4 but greater than 1/2 pls help
Answer: 3/8
Step-by-step explanation:
cuz it is
Dana wants to build a rectangular pen for her goats. The length of the pen should be at least 50 feet, and the perimeter of the pen should be
no more than 190 feet.
The width of the pen must not be less than 45 feet
Perimeter of the penThe formula for calculating the perimeter of a rectangle is expressed as:
P = 2(l + w)
Given the following
P = 190feet
l = 50feet
Required width
190 = 2(50 + w)
95 = 50 + w
w = 45
Hence the width of the pen must not be less than 45 feet
Learn more on perimeter of rectangle here: https://brainly.com/question/19819849
Tina baked some cookies. 12 of her cookies were peanut butter. 12 of the peanut butter cookies also had chocolate chips. What fraction of the cookies were peanut butter and had chocolate chips?
Answer:
12/12 or 1
Step-by-step explanation:
Tina baked 12 peanut butter cookies, and it is said that 12 of them had chocolate chips. So, we can make a fraction, being 12/12
A college student takes out a $7500 loan from a bank. Assuming the student has not started paying back the money, how much does the student owe after 1 year, if the bank charges 3.8% interest each year? after 1 year, if the bank charges 7.6% interest each year? after 2 years, if the bank charges 3.8% interest each year?
Answer:
Atter 1 year 28,500
After 2 years 57,00
Step-by-step explanation:
7500 x 3.8=28,500
7500 x 7.6=57,000