Answer:
4x - 3y = 0
Step-by-step explanation:
The angle between the radius and the tangent at P is right
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y + 3x = 25 into this form
Subtract 3x from both sides
4y = - 3x + 25 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus
y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute P(3, 4) into the partial equation
4 = 4 + c ⇒ c = 4 - 4 = 0
y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form
Multiply through by 3
3y = 4x ( subtract 3y from both sides )
4x - 3y = 0 ← equation of radius in standard form
How can I Simplify -(x+5)+3x
Answer:
2x - 5
Step-by-step explanation:
Distribute the negative sign outside of the parentheses first to get
-x -5 + 3x
Combine like terms
= 2x - 5
Answer:
2x-5
Step-by-step explanation:
=-(x+5)+3x
=-x-5+3x opening brackets
=-x+3x-5
=2x-5
what is the quotient of x^2-9x+14/x-7
Find the solution of ×\2-1/5=×\3+1/4 please help me with this
Answer:
[tex]x=\frac{27}{10}[/tex]
Step-by-step explanation:
Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]
First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator
[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]
Now, we can multiply each side by 60, which will remove the fractions
[tex]30x-12=20x+15[/tex]
Now we can add 12 to each side
[tex]30x=20x+27[/tex]
Now subtract 20x from each side
[tex]10x=27[/tex]
And lastly, divide each side by 10
[tex]x=\frac{27}{10}[/tex]
A jar contains 7 orange, 3 yellow, and 5 blue marbles. If you pick one without looking, what is the probability that the marble you pick will be neither orange nor yellow?
show work pls tnx!
Answer:
The probability would be 5/15 or 1/3
Total = 7+3+5
= 15
yellow = 3
orange = 7
blue marbles = 5
Answer:
⇒Pgreen or yellow=5\11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form.
Answer: 9/10
Step-by-step explanation:
Total cards are 20
Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10
Answer:
Brainliest here! >:D
Step-by-step explanation:
the is a total of 20 cards
2 of them of red
so 18 of the 20 (18/20) is not red
so the probability theroticatily is 9/10 or 90%
A scale drawing has a scale of 3in:1ft. What is the scale factor?
Answer:
1 : 4
Step-by-step explanation:
Remember, your units have to match, so
3 in : 1 ft
doesn't look right, change 1 ft to 12 in.
3 in : 12 in
reduce by 3
1 : 4
help
kiloikuhgrfdsxdcfgbhujolp0;polk
Answer: 1. infinitely many solutions
2. no solution
3. one solution
4. no solution
5. infinitely many solutions
Step-by-step explanation:
1. infinitely many solutions - when it is consistent and the number of variables is more than the number of nonzero rows
2. no solution - would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.
3. one solution - which is when one variable equals one number
4. no solution
5. infinitely many solutions
Please if you know this please help me I’m stuck I don’t know
Answer:
The vertical angles theorem
Step-by-step explanation:
The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.
Angles ∠JKN and ∠MKL fit the criteria of the vertical angles theorem, meaning they are congruent.
How many edges does the following shape have?
Pablo has 0 pieces of candy and wants to divide them into 2 equal piles. You want to know how many pieces will be in each pile? Can you divide zero into 2 equal parts?
Answer:
no
Step-by-step explanation:
you cannot divide zero into two equal parts because there is nothing there to start. Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.
Answer: No because 0 means nothing and you can't divide nothing among something so that is like undefined.
Step-by-step explanation:
what is the area of the circle?
Answer:
Area =28.27
Step-by-step explanation:
Answer:
The area of circle:
[tex]A \approx 28.27[/tex] [tex]m^2[/tex]
Step-by-step explanation:
To find the area of circle, you need this formula:
[tex]A = \pi r^2[/tex]
-After have the formula set up, use the given radius for the formula:
[tex]A = \pi 3^2[/tex]
-Then, you solve:
[tex]A = \pi \times 3^2[/tex]
[tex]A = \pi \times 9[/tex]
[tex]A = 9\pi \approx 28.27[/tex] [tex]m^2[/tex]
-So, the area of a circle is [tex]28.27[/tex] [tex]m^2[/tex] .
HELP!! IMPORTANT!! PLEASE HELP!!
John checked his answer and found that it was incorrect. John’s work is below. What did he do incorrectly?
ℎ + 10 = 25
ℎ + 10 + 10 = 25 + 10
ℎ = 35
Please list everything he did incorrectly! Thank you!!
Answer:
he added 10 instead of subtracting 10 to isolate the variable, then he just removed the 20 that would be with the variable
Step-by-step explanation:
help please, I don't know it please
Answer:
second payment from the left
Step-by-step explanation:
A car loan should decrease as time passes when you make regular payments
This should be the second payment from the left
You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference to ge 1.74. Now you'll determine whether the difference is significant
Answer:
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, the measure X is significent.
In this question:
[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]
So
[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
PLEASE HELP WILL MARK BRAINLIEST
Draw the reflection of the figure over the line shown.
Answer:
Step-by-step explanation:
I have a box of 24 different types of cup cakes. 1⁄2 of the cupcakes are vanilla. 1⁄8 of the cupcakes are strawberry. And the rest of the cupcakes are chocolate. How many of each type of cupcake do we have?
Answer:
21 7/8 is choclate
1/2 or 2 is vanilla
1/8 is strawberry
Step-by-step explanation:
1/2 x 4 is is 2
1/8 < 2
2 of the cupcakes (into eights) are vanilla from which a dominatorof 8
2 plus 1/8 is 2 1/8
24 - 2 1/8 is 21 7/8
What is the slope of the line that contains the points (-32, 23) and (-32, -19)?
Answer:
undefined
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/ (x2-x1)
= ( -19 -23)/(-32 - -32)
= 42 / 0
Dividing by zero gives us an undefined answer so the slope is undefined
Solve for x.
Your answer must be simplified.
-x < -29
Answer:
x=29
Step-by-step explanation:
isolate x, and multiply the 29 by -1
Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.
1 - 6i is a zero of f(x) = x4 - 2x3 + 38x2 - 2x + 37.
Answer:
[tex]1+6i[/tex]
Step-by-step explanation:
The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.
Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.
The cost of each white tile was £2 the cost of each blue tile was £4 b) work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
2b) 4/2=2
3) 80/60=8/6
Using the order of operations, what should be done first when evaluating this expression?
-1/2 divided by 2(9+3)-4-3/4(8)
Answer:
[tex]-\frac{16}{17}\\-0.94117[/tex]
Step-by-step explanation:
[tex]\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117[/tex]
Carla has $1560 in a savings account that pays 2.5% simple interest. How much interest is earned in 3 years? b) How much money is in her savings account at the end of 3 years?
plz show work
Answer:
a) The interest is earned in 3 years = 112.5
b) The total amount earned at the end of 3 years = 1672.5 rupees
Step-by-step explanation:
Given Carla has $1560 in a savings account that pays 2.5% simple interest
Interest = 1560 × 2.5 %
= 1560 × 0.025
= 37.5
The interest for one year = 37.5
The interest is earned in 3 years = 112.5
b) The total amount earned at the end of 3 years
= Amount + interest
= 1560 + 112.5
= 1672.5
the sum of the present ages of A and B is 60 years.5 years hence their ages will be in the ratio 4:3.What were their ages 5 years ago? please show the working
Answer:
A= 30 years old
B= 20 years old
Step-by-step explanation:
Let the present age of A be x years old.
Since the sum of the present ages of A and B is 60 years,
present age of B= (60-x) years old
In 5 years
A= x +5
B= 60 -x +5= 65-x
Since the ratio of A:B= 4:3,
A would represent 4 units and B would represent 3 units.
Thus [tex]\frac{3}{4}[/tex]A=B
[tex]\frac{3}{4}[/tex](x+5)= 65 -x
[tex] \frac{3}{4} x + \frac{15}{4} = 65 - x \\ \frac{3}{4} x + x = 65 - \frac{15}{4} \\ \frac{7}{4} x = 61.25 \\ 7x = 61.25 \times 4 \\ 7x = 245 \\ x = 245 \div 7 \\ x = 35[/tex]
Thus, present age of A
= x
= 35 years old
present age of B
= 60 -x
= 60 -35
= 25 years old
5 years ago
A= 35 -5= 30 years old
B= 25 -5= 20 years old
* under the section in 5 years, [tex]\frac{3}{4} A=B[/tex] because both would be equal to 3 units each. Since B is 3 units and A is 4 units, in order to make both value the same, we divide the 4 units of A by 4 then multiply by 3 to get 3 units. Thus, [tex]\frac{3}{4}[/tex] of A is equal to B.
Question 6 of 10
2 Points
Which of the following words means "chore"?
A. El sillón
B. El estante
C. El dormitorio
O D. El quehacer
Answer:
D
Step-by-step explanation:
it translated into housework in other words chore. hope this helps :)
Answer:
D
Step-by-step explanation:
-
Marquis has 7 cups of yogurt. He gives his sister 3 3 5 cups of the yogurt, how much of Marquis’s yogurt remains?
Answer:
If you meant 3.5 then its 3.5.
For which table would 70 be the missing value,x?
It is C
The Stone and Pounds
Answer:
c
Step-by-step explanation:
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
B, The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
1. Rearrange the first equation to isolate either x or y.
x = -y + 24
2. Plug this new equation into the second equation to find the value of y.
3(-y + 24) + 5y = 100
-3y + 72 + 5y = 100
2y + 72 = 100
2y = 28
y = 14
3. Plug the value of y back into the other equation to find the value of x.
x = -14 + 24
x = 10
There are fourteen 5-point questions and ten 3-point questions.
Answer:
b) The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
edgen2020
Pls help me. I need this done ASAP thank you :)
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
So she has 14 shirts in all. There are 10 colored shirts.
[tex]\frac{10}{14} =\frac{5}{7}[/tex]
answer 5 /7
hi there are fourteen shirts and the more shirts the less of a possiblility
Step-by-step explanation:
if you want a percentage its 7.14 %
i hope i helped if you need help with any thing else please tell me :)
please mark as brainliest
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?
x + y = 26 and x + y = 12
x + y = 26 and x – y = 12
x + y = 26 and –x + y = 12
x – y = 26 and x + y = 12
Answer:
x + y = 26 and x – y = 12
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just did it
Solve for x in the diagram below.
3x
75°
T =
Answer:
x=35
Step-by-step explanation:
The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.
3x+75=180
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.
3x+75-75=180-75
3x=180-75
3x=105
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=105/3
x=105/3
x=35
x is equal to 35.