For this case we have the following system of equations:
We multiply the second equation by -3:
Thus, we observe that the second equation is equivalent to the first, if we add both we get:
The equality is fulfilled. The lines are on top of each other.
Answer:
Infinite solutions
Ms. Pickle is a salesperson at Fluffy Dogs. Each week she earns $560 plus a 6.5% of her sales. How much did she earn last week if her sales were $3800?
Answer:
I think 247 is your answer!
Step-by-step explanation:
$560 plus a 6.5% of her sales = 596.4 US$
3800 plus a 6.5% of her sales last week = 4047
6.5% of 3800 is 247
pls help me with this multiple choice !
Answer:
A
Step-by-step explanation:
[tex] \tan(60) = \frac{13 \sqrt{3} }{y} \\ y = \frac{13 \sqrt{3} }{ \tan(60) } = 13 \\ \cos(60) = \frac{13}{x} \\ x = 26[/tex]
The FitnessGram Pacer test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter Pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal *boop*. A single lap should be completed each time you hear this sound *ding*. Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, start.
Answer:
i-
Step-by-step explanation:
6 ponds of candy cost $22.44 what is the cost of one pound?
Use the Distributive Property to write an expression that is
equivalent to 4(y - 3).
Answer:
4y-12
Step-by-step explanation:
To multiply a sum (or difference) by a factor, each summand (or minuend and subtrahend) is multiplied by this factor and the resulting products are added (or subtracted).
If the operation outside the parentheses (in this case, the multiplication) is commutative, then left-distributivity implies right-distributivity and vice versa, and one talks simply of distributivity.
The equivalent value of the expression is A = 4y - 12
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4 ( y - 3)
On simplifying the equation , we get
A = 4 ( y - 3 )
So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )
Opening the parenthesis on both sides , we get
A = 4 ( y - 3 )
Using the distributive property , we get
A = 4 ( y ) - 4 ( 3 )
On further simplification , we get
A = 4y - 12
Taking the common factor as 4 , we get
A = 4 ( y - 3 ) = 4y - 12
Therefore , the value of A = 4y - 12
Hence , the expression is A = 4y - 12
To learn more about equations click :
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Determine the radius or diameter. Dont forget units!
1. r= 4.6 in, d=
2. d= 8.2 cm, r=
3. d= 18.4 ft, r=
4. r= 21.65 yds, d=
Answer
Step-by-step explanation:
1. 9.2
2.4.1
3.9.2
4.43.3
Answer:
1. r= 4.6 in, d= 4.6×2=9.3in
2. d= 8.2 cm, r= 8.2/2=4.1cm
3. d= 18.4 ft, r= 18.4/2=9.2ft
4. r= 21.65 yds, d=21.65×2=43.3yds
What is the location of point B?
(5, 3)
(3, 5)
(3, -5)
(-5, -3)
please helpppp !!!!!
Answer:
The first one
Step-by-step explanation:
Negative b plus and minus the square root of b squared minus 4ac divided by 2a
Kyle purchased some video games for $60. The clerk told him that he will also be charged 8% sales tax on his purchase?
Answer: 64.80
Step-by-step explanation:
Find the missing length indicated. 5 3 ? 6
Answer:
? - 10
Step-by-step explanation:
3 x 2 is 6, so multiply 5 by 2 as well to get 10.
I hope it's correct!
For the figure below, find the measure of angle 1.
What is the equation of the line that passes through the point (3, 5) and has a slope
of 2?
HELP WHAT IS THE ANSWER TO THIS??
Answer:
I think it is A
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
A lion passes through the point (-8,-2) and has a slope of - 3/4. write an equation in slope intercept form for this line.
is 36.81 more than 36 or it is close to 37 than 36?
Answer:
36.81 is more than 36 and it is closer to 37
Step-by-step explanation:
.81 is bigger than .5
Which of the following is the inverse relation of the set?
{(5, –2), (3, –3), (4, 6), (–1, –7)}
{( –2, 5), (–3, 3), (6, 4), (–7, –1)}
B)
{( –4, 10), (–6, 6), (12, 8), (–14, –2)}
C)
{( –3, 5), (–2, 3), (–1, 4), (–7, 6)}
D)
{(2, –5), (3, –3), (–6, –4), (7, 1)}
9514 1404 393
Answer:
A) {( –2, 5), (–3, 3), (6, 4), (–7, –1)}
Step-by-step explanation:
The ordered pairs of an inverse relation are the reverse of the ordered pairs of the original relation.
You will be looking for ordered pairs that have first values the same as the original relation's second values: {-2, -3, 6, -7}. That list is found in choice A.
Homework Help ASAP
Find the difference. Write your answer in the simplest form
3/4 - 3/8
Find the sum. Write your answer in the simplest form
2/7 + 2/5
Answer:
#1. 3/8 and #2. 27/35
Step-by-step explanation:
3/4 - 3/8 change to 6/8 - 3/8 = 3/8 can not reduce
2/7 + 2/5 change to 10/35 + 17/35 = 27/35 can not reduce
Answer:
3/8
Step-by-step explanation:
3/4 - 3/8
= 3*2/4*2 - 3/8
= 6/8 - 3/8
= 6-3/8
= 3/8
Answer:
24/35
Step-by-step explanation:
2/7 + 2/5
= 2*5/7*5 + 2*7/5*7
= 10/35 + 14/35
= 10+14/35
=24/35
The line L is a tangent to the circle x2 + y2 = 45 at the point (-3, 6).
The line L crosses the x-axis at the point P.
Work out the coordinates of P.
Answer:
The point P is (-15,0).
Step-by-step explanation:
We need to find the slope of the line L to get the coordinates of P.
We know that L is tangent to the circle at point (-3, 6), which means L is perpendicular to the radius of the circle (a line between the origin (0,0) and the tangent point (-3,6))
So let's find the slope or the radius.
[tex]m_{R}=\frac{6-0}{-3-0}[/tex]
[tex]m_{R}=-2[/tex]
Now, we know that if two lines are perpendiculars their slopes follow the rule:
[tex]m_{L}=-\frac{1}{m_{R}}[/tex]
[tex]m_{L}=\frac{1}{2}[/tex]
Knowing the slope of L we can find the equation of this line. The slope-intercept equation of a line is:
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{2}x+b[/tex]
Using the point (-3,6) we can find b.
[tex]6=\frac{1}{2}(-3)+b[/tex]
[tex]b=\frac{15}{2}[/tex]
The line equation will be:
[tex]y=\frac{1}{2}x+\frac{15}{2}[/tex]
The point P has only an x-coordinate value (x,0)
So we have:
[tex]0=\frac{1}{2}x+\frac{15}{2}[/tex]
[tex]x=-15[/tex]
Therefore, the point P is (-15,0).
I hope it helps you!
Please help!!! I don’t really understand this at all
9514 1404 393
Answer:
a, b, e (only)
Step-by-step explanation:
The circle centered at A is all of the points that are distance AB from A.
The circle centered at B is all of the points that are distance AB from B.
The points C and D are points that are distance AB from both A and B.
The line joining those points (C and D) consists entirely of points that are equal distances from A and from B. CD is the perpendicular bisector of AB.
Point M is one of the points on line CD, and is also on segment AB. Because it is on CD, we know it is the same distance from A as from B. That means AM = BM, and M is the midpoint of AB.
__
Points B, C, D are not on the same line, so can form a triangle. As with any triangle, the sum of any two segments is greater than the length of the third. Here, this is expressed as CB + BD > CD.
__
With some work using the Pythagorean theorem, you can show that ...
CM = AM×√3
Similarly, MD = BM×√3.
Adding these two relations tells us ...
CM +MD = √3(AM +BM)
CD = AB×√3 . . . . . AB and CD are not the same length
__
AM and BM are on the same line, so cannot be perpendicular to each other.
_____
Additional comment
When you are studying compass and straightedge constructions, you would do well to actually perform these constructions using those tools on paper. This gives you a feel for what is going on and helps you remember the steps. A computer screen is no substitute for hands-on.
find the area of a circle if its radius is 6 millimeters?
whats the anwser for - 4x +35> 2
Answer:
x<33/4
Step-by-step explanation:
-4x+35>2
-4x>2-35
-4x>-33
4x>33
x>33/4
x<33/4
What is the circumference of a circle with a radius of 86 inches? use 3.14 for PI
Step-by-step explanation:
[tex]circumference = 2\pi\: r \: \\ = 2 \times 3.14 \times 86 \\ = 540.08[/tex]
Answer:
540.08
Step-by-step explanation:
Find slope intercept form.
(5,7) (25,12)
Answer:
Y = 1/4x + 23/4
Step-by-step explanation:
Rewrite the function
g(x) = 4x2 – 28x + 49
Answer:
g(X)=4(x-7/2)^2+0
Step-by-step explanation:
khan said it was right
Someone explain to me how to write an equation out in slope-intercept form in simple terms with examples I'm so confused
Answer:
are you talking about y=mx+b? M would be the slope, and B would be the y intercept, so if we wanted to do, lets say 4,5, we would say y=4x+5, i think,
Step-by-step explanation:
An equation in slope-intercept form looks like this: y = mx+b
In the equation, m is equal to the growth rate of the line on the graph and b represents the y-intercept (where the line meets with the y-axis).
For the line shown in the picture below, the equation is y = 1x + 2 (not exactly but based on estimates). Also, you can ignore the writing on the picture. (0-0')
y = 1x + 2
In this equation. 1 represents the growth rate and 2 represents the y-intercept.
So, when writing an equation, look for these two things:
y-intercept: where the line of a graph meets with the y-axis
growth rate: how much is the line increasing by on the y-axis for every unit on the x-axis?
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Mediterranean dip telefono Cricket in the area between the change of the jacuzzi on the kicker telefono question so have the education
all rational numbers are integers trure or false
Answer:
False
Step-by-step explanation:
A woman can do a job in 9 days and her daughter can do the same job in 16 days. They start working together, but after 4 days the daughter leaves and the woman finishes the job alone. How many days did it take her to finish the job alone?
Step-by-step explanation:
ans...9days.......,........
1 Which list shows the dependent quantities in the graph?
Answer:
lol nnnnnnnnnnnnnnmmoooooooooo╭∩╮(ಠ_ಠ)╭∩╮
Step-by-step explanation:
2/3x+(-3)+(-2)-1/3x?
Answer:
1/3x-5
Step-by-step explanation:
simplify by combining like terms
2/3x - 1/3x = 1/3x
-3 + -2 = -5
Answer:
1/3x - 5
Step-by-step explanation:
2/3x + (-3) + (-2) - 1/3x
2/3x - 1/3x + (-3) + (-2)
2/3x - 1/3x - 3 - 2
1/3x - 5