i need help with this algebra question
Answer:
[tex]m=\frac{6}{7}[/tex]
Step-by-step explanation:
[tex]m=\frac{10-4}{9-2}=\frac{6}{7}[/tex]
Answer: [tex]\frac{6}{7}[/tex]
Explanation:
In the numerator we have [tex]y_2 - y_1 = 10-4 = 6[/tex] to represent the change in y, aka the rise. This is the vertical change. It's how much we go up.
The denominator has [tex]x_2 - x_1 = 9-2 = 7[/tex] to represent the run. It is the horizontal change, or how much we go to the right.
We go up 6 and to the right 7 to have a slope of [tex]m = \frac{\text{rise}}{\tex{run}} = \frac{6}{7}[/tex]
Here's how you can show the steps
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{10-4}{9-2}\\\\m = \frac{6}{7}\\\\[/tex]
Note: To write [tex]\frac{6}{7}[/tex] on the keyboard, you can type 6/7
After your training program is completed, what should you do?
A. Evaluate progress
B. None apply
C. Start the program again
D. Add on more time

Answer:
A. evaluate progress
Step-by-step explanation:
common sense
Given m < AFB = 40, m < BAF = 90, and m < AGD = 86. Find measure of arc AC.
=================================================
Explanation:
Refer to the figure below.
Focus on triangle ABF. Angle AFB = 40 is marked in red. Angle BAF = 90 is marked in blue. The missing angle is 180-90-40 = 50 which is angle ABF.
Inscribed angle ABF = 50 doubles to arc AC since this inscribed angle subtends the arc in question. I'm using the inscribed angle theorem.
arc AC = 2*(angle ABF) = 2*50 = 100 degrees
Note: We don't need the fact that angle AGD = 86
How many pints are in6 1/2quarts?
314pt
13 pt
1912pt
26 pt
Answer:
13 pints
Step-by-step explanation:
6 1/2 (6.50) quarts is equal to 13 pints
Answer:
13pt
to go from quarts to pints multiply the value by 2
jack had m problems to complete during his vacation. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework
Answer:
a) m problems, d days to complete.
m/d
b) m/15d
c)-if 15 was connected; 15d
if 15 WAS NOT connected, m problems
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
Right angle
Step-by-step explanation:
It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.
Nicole walked 10 blocks north from her house to her friend's house. After visiting, Nicole walked 10 blocks south back to her house. How far was Nicole from her starting place?
The Answer is D Nicole walked back to her house 10-10=0 So, the answer is D
Yes, I guess so.
Hope this helps!
Answer:
yea actually what if she turned?- but yea its 0 so D
Step-by-step explanation:
Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5
Step-by-step explanation:
Condition 1x > 5, both terms are positive
y = x - 5 + x + 5 = 2xCondition 2x < - 5, both terms are negative
y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2xCondition 3This is not clear
If x>5
Terms are positiveHence..
y=x-5+x+5=2xIf x<-5 terms are negative
y=-x+5-x-5=-2xIf x=-5
y=|-5-5|+|-5+5|y=|-10|y=10what types of atoms are there in a cell
Answer:
carbon (C), hydrogen (H), nitrogen (N), and oxygen (O)—make up 96.5% of an organism's weight.
Step-by-step explanation:
hope this helps.
Which equation is a step in solving the equation |5 − 3x| + 2 = 19? A. 5 − 3x = -17 B. |5 + 3x| = 17 C. 5 + 3x = -17 D. |5 − 3x| = -17
Did the math for you.
[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year.
The total balance in Raul's account after 40 years when he retires is $65,714.90.
What is the total balance?The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 1.5/12 n = number of periods = 12 x 40 = 480$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90
Here is the complete question:
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?
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A right triangle has one angle that measures 60°. What is the measure of the other acute angle?
Answer:
30°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in any triangle is 180°. A right triangle has one angle that is 90°, so the sum of the remaining two acute angles is 180° -90° = 90°. That is, the acute angles in a right triangle are complementary.
__
The other acute angle is ...
90° -60° = 30°
Show the problem on a number line:
4(-2) =
Answer:
-8
Step-by-step explanation:
This is the same as 4 x -2.
The parenthesis just means to multiply the number to the left by whatver is in the paranthesis when it is touching like that.
What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2
Linear equations are usually organized in slope-intercept form, which looks like this:
[tex]y=mx+b[/tex]
m is the slope of the lineb is the y-intercept (the value of y when the line passes through the y-axis)To find the equation of a line in slope-intercept form:
Determine the slope of the linePlug the slope into the general formDetermine the y-intercept by solving for b Plug b back into the equationSolving the QuestionWe're given:
m = [tex]\dfrac{1}{2}[/tex](4,1) falls on the lineFirst, plug the given slope into the slope-intercept form equation:
[tex]y=mx+b\\\\y=\dfrac{1}{2}x+b[/tex]
Now, determine the y-intercept.
[tex]y=\dfrac{1}{2}x+b[/tex]
⇒ Plug in the given point (4,1) and solve for b:
[tex]1=\dfrac{1}{2}(4)+b\\1=2+b\\b=-1[/tex]
⇒ Therefore, the y-intercept is -1. Plug this back into our original equation:
[tex]y=\dfrac{1}{2}x-1[/tex]
Answer[tex]y=\dfrac{1}{2}x-1[/tex]
x^2+y^2=y is written in polar form as r = ?
r = 3sinA is written in rectangular form as x^2+y^2= ?
[tex]x^2+y^2=r^2~\hfill x=rcos(\theta )~\hfill y=rsin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ r=3sin(A)\implies \stackrel{\textit{multiplying both sides by "r"}}{r^2~~ = ~~3~rsin(A)}\implies x^2+y^2=3y[/tex]
r = 3sinA is written in rectangular form as[tex]x^2+y^2 = 3y.[/tex]
What is De Moivre's theorem for exponentiation of complex numbers?Any complex number z = a + ib can be written in polar form as:
[tex]z = r(\cos(\theta) + i\sin(\theta))[/tex]
Complex numbers are those numbers that contain the imaginary and the real part.
Raising this to nth power (n being an integer), we get:
[tex]z ^n = r^n (\cos(n\theta) + i\sin(n\theta))[/tex]
We need to find r = 3sinA is written in rectangular form as[tex]x^2+y^2[/tex].
We know that
x = r cosA
y = r sin A
We have been given ;
r = 3sinA
Multiply by r on both sides;
[tex]r^2 = 3r sin A\\\\r^2 = 3 y[/tex]
therefore,
[tex]x^2+y^2 = 3y[/tex]
Hence, r = 3sinA is written in rectangular form as [tex]x^2+y^2 = 3y[/tex].
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help to search for JOIN in this alphabet soup please
Answer:
hopefully this helps :] 16th line down I think
Jeff is buying books at a used booksttore.He wants to approximate the total cost of his purchase before checking out
6 math questions, answer all please for all points
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Recall that the projection of a vector [tex]u[/tex] onto [tex]v[/tex] is [tex]\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v[/tex].
Identify the vectors:
[tex]u=\langle-10,-7\rangle[/tex]
[tex]v=\langle-8,4\rangle[/tex]
Compute the dot product:
[tex]u\cdot v=(-10*-8)+(-7*4)=80+(-28)=52[/tex]
Find the square of the magnitude of vector v:
[tex]||v||^2=\sqrt{(-8)^2+(4)^2}^2=64+16=80[/tex]
Find the projection of vector u onto v:
[tex]\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v\\\\proj_vu=\biggr(\frac{52}{80}\biggr)\langle-8,4\rangle\\\\proj_vu=\biggr\langle\frac{-416}{80} ,\frac{208}{80}\biggr\rangle\\\\proj_vu=\biggr\langle\frac{-26}{5} ,\frac{13}{5}\biggr\rangle\\\\proj_vu=\langle-5.2,2.6\rangle[/tex]
Thus, B is the correct answer
Problem 2
Treat the football and wind as vectors:
Football: [tex]u=\langle42\cos172^\circ,42\sin172^\circ\rangle[/tex]
Wind: [tex]v=\langle13\cos345^\circ,13\sin345^\circ\rangle[/tex]
Add the vectors: [tex]u+v=\langle42\cos172^\circ+13\cos345^\circ,42\sin172^\circ+13\sin345^\circ\rangle\approx\langle-29.034,2.481\rangle[/tex]
Find the magnitude of the resultant vector:
[tex]||u+v||=\sqrt{(-29.034)^2+(2.481)^2}\approx29.14[/tex]
Find the direction of the resultant vector:
[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{2.841}{-29.034}\biggr)\approx -5^\circ[/tex]
Because our resultant vector is in Quadrant II, the true direction angle is 6° clockwise from the negative axis. This means that our true direction angle is [tex]180^\circ-5^\circ=175^\circ[/tex]
Thus, C is the correct answer
Problem 3
We identify the initial point to be [tex]R(-2,12)[/tex] and the terminal point to be [tex]S(-7,6)[/tex]. The vector in component form can be found by subtracting the initial point from the terminal point:
[tex]v=\langle-7-(-2),6-12\rangle=\langle-7+2,-6\rangle=\langle-5,-6\rangle[/tex]
Next, we find the magnitude of the vector:
[tex]||v||=\sqrt{(-5)^2+(-6)^2}=\sqrt{25+36}=\sqrt{61}\approx7.81[/tex]
And finally, we find the direction of the vector:
[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{6}{5}\biggr)\approx50.194^\circ[/tex]
Keep in mind that since our vector is in Quadrant III, our direction angle also needs to be in Quadrant III, so the true direction angle is [tex]180^\circ+50.194^\circ=230.194^\circ[/tex].
Thus, A is the correct answer
Problem 4
Add the vectors:
[tex]v_1+v_2=\langle-60,3\rangle+\langle4,14\rangle=\langle-60+4,3+14\rangle=\langle-56,17\rangle[/tex]
Determine the magnitude of the vector:
[tex]||v_1+v_2||=\sqrt{(-56)^2+(17)^2}=\sqrt{3136+289}=\sqrt{3425}\approx58.524[/tex]
Find the direction of the vector:
[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{17}{-56} \biggr)\approx-17^\circ[/tex]
Because our vector is in Quadrant II, then the direction angle we found is a reference angle, telling us the true direction angle is 17° clockwise from the negative x-axis, so the true direction angle is [tex]180^\circ-17^\circ=163^\circ[/tex]
Thus, A is the correct answer
Problem 5
A vector in trigonometric form is represented as [tex]w=||w||(\cos\theta i+\sin\theta i)[/tex] where [tex]||w||[/tex] is the magnitude of vector [tex]w[/tex] and [tex]\theta[/tex] is the direction of vector [tex]w[/tex].
Magnitude: [tex]||w||=\sqrt{(-16)^2+(-63)^2}=\sqrt{256+3969}=\sqrt{4225}=65[/tex]
Direction: [tex]\displaystyle \theta=tan^{-1}\biggr(\frac{-63}{-16}\biggr)\approx75.75^\circ[/tex]
As our vector is in Quadrant III, our true direction angle will be 75.75° counterclockwise from the negative x-axis, so our true direction angle will be [tex]180^\circ+75.75^\circ=255.75^\circ[/tex].
This means that our vector in trigonometric form is [tex]w=65(\cos255.75^\circ i+\sin255.75^\circ j)[/tex]
Thus, C is the correct answer
Problem 6
Write the vectors in trigonometric form:
[tex]u=\langle40\cos30^\circ,40\sin30^\circ\rangle\\v=\langle50\cos140^\circ,50\sin140^\circ\rangle[/tex]
Add the vectors:
[tex]u+v=\langle40\cos30^\circ+50\cos140^\circ,40\sin30^\circ+50\sin140^\circ\rangle\approx\langle-3.661,52.139\rangle[/tex]
Find the magnitude of the resultant vector:
[tex]||u+v||=\sqrt{3.661^2+52.139^2}\approx52.268[/tex]
Find the direction of the resultant vector:
[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{52.139}{-3.661} \biggr)\approx-86^\circ[/tex]
Because our resultant vector is in Quadrant II, then our true direction angle will be 86° clockwise from the negative x-axis. So, our true direction angle is [tex]180^\circ-86^\circ=94^\circ[/tex].
Thus, B is the correct answer
what is it u can just say abc
Answer: dude idek how to do this
Step-by-step explanation:
not lying still dont know
20 points. A certain event may occur, but it is unlikely to occur.
Which statement about the probability of the event is true?
A. The probability is close to 0.
B. The probability is 0.
C. The probability is 1.
D. The probability is less than 0.
Answer:
A
Step-by-step explanation:
Close to 0 means there isn't a certain number, and there also isn't a certain answer for what the probability. While all of the others are alreaady stated, this is the only one that is not.
what is the probability scale that you will buy a new pair of shoes soon
Answer:
The probability scale for this question is not 100% sure to buy shoes so the scale is given to be even chance(1/2).
Step-by-step explanation:
An annual percentage rate (APR) includes:
A. both the interest and fees on a loan.
B. only the fees on a loan.
C. neither the interest nor the fees on a loan.
D. only the interest on a loan.
Answer:
A. both the interest and fees on a loan.
Step-by-step explanation:
An annual percentage rate (APR) includes both the interest and fees on a loan.
[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]
five years ago, Nina was twice as old as Sam. In five years she will be 1.5 times as old as Sam. How old are Nina and Sam now?
The age of Nina and sam are 15years and 10 years respectively now
System of equationsThey consists of equations and unknown variables
Let their current age be x and y
If five years ago, Nina was twice as old as Sam then;
x - 5 = 2(y-5)
If in five years she will be 1.5 times as old as Sam, then;
x = 1.5y
Substitute
1.5y - 5 = 2y -10
-0.5y = -5
y =5/0.5
y = 10
Since x = 1.5y
x = 15years
Hence the age of Nina and sam are 15years and 10 years respectively now
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what is pi? In order to prove mastery explain how pie relates to the circumference and diameter of a circle
Pi, or π, is a number that is used to represent the ratio between a circle's circumference and its diameter.
Step-by-step explanation:
What are the zeros of the polynomial p(x) = x3 – 19x - 30?
-
1.
-10, 1, 3
2.
-6, -5, 1
3.
-3, -2,5
4.
-15, 1, 2
Answer:
x= -2
x= -3
x= 5
Step-by-step explanation:
PLS ANSWER FAST FOR MY TEST!! There were three ant hills in Mrs. Brown's yard. The first ant hill had 4,867,190 ants. The second ant hill had 6,256,304 ants, and the third ant hill had 3,993,102 ants. Choose the best estimate of the number of ants in Mrs. Brown's yard.
Answer:
my best estimate would be 15,116,600
Step-by-step explanation:
,
M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)
The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)
How to rewrite the expression?
First, we need to find the greatest common factor between 48 and 66.
To find it, we can write both of these as a product of its prime factors, we get:
48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3
66 = 2*33 = 2*3*11
The greatest common factor that we can make is 2*3 = 6
Then we rewrite the numbers as:
48 = 6*8
66 = 6*11
Now we can rewrite our expression:
48 + 66 = 6*(8 + 11)
So the correct option is C
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Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and
determine whether the system is inconsistent, or the equations are dependent.
- 2x + 6y + 3: = -31
- 3y + 7: = 59
2- = 10
Da
믐
Х
6
The system has one solution.
The solution set is {C10}
The system has no solution.
The system is inconsistent.
The equations are dependent.
The system has infinitely many solutions
The system is inconsistent
The equations are dependent
Continue
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The value of x, y and z from the system of equation are -1, -8 and 5 respectively.
Data;
-2x + 6y + 3z = -31-3y + 7z = 592z = 10System of EquationTo solve this problem, we have to solve the system of equation using substitution method.
From equation (iii)
[tex]2z = 10\\z = 5[/tex]
let us substitute the value of z into equation (ii)
[tex]-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8[/tex]
Let's substitute the value of x and y into equation (i)
[tex]-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1[/tex]
From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.
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Question 5
Thank you
{2x+3y=−7, 7x+9y=−14
Answer as an ordered pair (x,y).
Answer:
Step-by-step explanation:
2x + 3y = -7
7x + 9y = -14
-3(2x+3y= -7) = -6x - 9y = 21
-6x - 9y = 21
7x + 9y = -14
add columns (y values cancel)
1x + 0y = 7
x = 7
plug 7 into the x value in either equation to find y
2(7) + 3y = -7
14 + 3y = -7
3y = -21
y = -7
(x,y) = (7,-7)
