Answer: 1/3x -2
Step-by-step explanation:
X-3y =6 subtract x from both sides first
-3y=6-x. Then divide both sides by -3
Y= 6-x /-3 simplify
Y= -2+x/3 rearrange
Y= 1/3x -2
Two lines, A and B, are represented by the equations given below!
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
A. (-3,-5), because the point satisfies ONE of the equations
B. (-3,-5), because the point lies between the two axes
C. (-4,-8), because the point satisfies BOTH equations
D. (-4,-8), because the point does not lie on any axis
Answer:
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]
[tex]y-3x=4[/tex]
[tex]-[/tex]
[tex]\underline{y-x=-4}[/tex]
[tex]-2x=8[/tex]
[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]
solve for x
[tex]-2x=8[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]
[tex]x=-4[/tex]
[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]
[tex]y-\left(-4\right)=-4[/tex]
[tex]y+4=-4[/tex]
[tex]y=-8[/tex]
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
What is 2-10(7b-2) simplified
Answer:
-70b+22
Step-by-step explanation:
Simplify each term
apply the distributive property
2-10(7b)-10 *2
multiply 7 by -10
2-70b+-10*-2
multiply -10 by -2
2-70b+20
add 2 and 20
-70b+22
Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).
An equation is −109.3=
.
The outside temperature is
∘F.
Answer:
Step-by-step explanation:-109.3=t-184.9
T=75.6
In a triangle ABC,AB=5.8 cm BC=4.2cm and CA=3.6cm,name the greatest and smallest angles of the triangle.
Step-by-step explanation:
c is greatest angle
where as b is smallest
Y=6x+21
-x+3y=12
Find x and y please
The measures of the angles of a triangle solve for X
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
Y'all I need HELPPPPPP
Answer:
x = 13
arc RQ = 160°
Step-by-step explanation:
The length of smaller arc RQ is twice of the inscribed angle it sees
(5x + 15) × 2 = 10x + 30
9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms
25x + 35 = 360
25x = 360 - 35
25x = 325 divide both sides by 25
x = 13 now the measure of arc RQ
10x + 30 ➡ 10 × 13 + 30 = 160°
how would the school work differently if any of the locations above were missing
Answer:
huh what locations
Step-by-step explanation:
Answer:
Above what?
Step-by-step explanation:
HELP !!!!!40 POINTS AVAILABLE
2. d+g/h. When d=29, g = 16. and h=9
(1 point)
A.8
B.2.375
C.5.375
D.5
Answer:
5
Step-by-step explanation:
29 plus 16 is 45 and 45 divided into 9 is 5
Find the sum of of a series, I’ll give brainliest if you got the correct answers :)
HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
its red okay? i hop help
Answer:3:1. Yellow
Step-by-step explanation:
Solve for x.
*2 =
= 1
A)
-10
22
B)
C)
D
4.
Answer:
1+x=b;b+x=c;c+x=d;d+x=89
Step-by-step explanation:
Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
I need the answer to this question please 4(3 - 2x) = 15
The correct answer would be -3/8 or in decimal form -0.375 :)
for f(x) = -8x +8, find f(-3)
Answer:
f(x)=-8x+8
f(-3)
ANSWER: 11/8
Pls help show work please
9^(x + 2) = 27
Can someone help solve
Answer:
x=-.5
Step-by-step explanation:
Middle School
Mathematics
Find x.
A. 8
B. 12
Answer:
17²=15²+x²
289=225+x²
288-225=x²
64=x²
x=6
Answer:
8
Step-by-step explanation:
By Pythagoras theorem,
(hypotenuse)² = (altitude)² + (base)²
(17)² = x² + (15)²
(17)² - (15)² = x²
289 - 225 = x²
x² = 64
x = √64
x = 8
hope this helps you!
the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5
Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
Answer:
55
Step-by-step explanation:
If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.
i need desperate help i dont care abt work
Answer:
75%
Step-by-step explanation:
add them together
You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?
Answer:
2$
Step-by-step explanation:
first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.
don't forget to add the dollar sign, it might save you points
the slope of (2,11) and (10,4)
Answer:
-7/8
Step-by-step explanation:
the formula for calculating slope for the given coordinates is:
(y2-y1)/(x2-x1)
so (2,11) = (x1,y1)
and (10,4) = (x2,y2)
then putting the values in the formula.
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
point: (5,-4)
Answer:
Step-by-step explanation:
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 6
27 : 18 = 13 : x find x
Answer: 27:18 and 13:x can also be written as 27/18 and 13/x
therefore, 27:18 = 13:x
27/18 = 13/x
27/18 *13= x
x = 19.5
Hope it helped u,
pls mark as the brainliest
and put thanks
^_^
The slope of the lawn and passing through the points (1,3) and (5,13)
Find all real square roots of 25
Answer:
All real square roots of 25 is +5 and -5.
Step-by-step explanation:
When you square root something, you take the positive and negative of the number, so the square root of 25 would be 5 and -5.
When you do 5 times 5, you get 25 and when you do -5 times -5, you get 25 as well, this is why we do the negative as well.
#teamtrees #WAP (Water And Plant)
It is found that all the real square roots of 25 are 5 and -5.
How to find the closest integer less than and greater than the square root of a number?The function is strictly increasing function for x ≥ 0.
Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too Perfect square are those integers whose square root is an integer. Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).
When we do square root of something, we take the positive and negative of the number, so the square root of 25 would be 5 and -5.
When we do 5 times 5, we will get 25 and when we do -5 times -5, we will get 25 as well, this is why we do the negative as well.
Hence, all the real square roots of 25 are 5 and -5.
Learn more about square root here:
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Translation of, “Six less than twice the value of x,”.
Answer:
2x-6
Step-by-step explanation:
pls help me with this lol
Answer:
a) 95 miles
b) Chester
c) 194 miles
Step-by-step explanation:
Chart Reading
From the chart, we can know the relative distances from each place as follows:
a) From Hereford to Chester there are 95 miles
b) Kendal is 99 miles from Chester
c) If Ellen drives from Kendal to Hereford, passing by Chester, she will drive 99+95=194 miles
Note this last result is different from the direct distance from Kendal to Chester since the 201 miles are not specified if they are through Chester or not.
Which expression has a value of 40?
1. 240 divided by 60
2. 2400 divided by 6
3. 2400 divided by 60
4. 2400 divided by 600
2400 divided by 60 is equal to 40. The correct option is 3.
To find the expression that has a value of 40, to evaluate each expression:
1.
240 divided by 60:
Divide 240 by 60 is equal to 4.
So, this is incorrect option.
2.
2400 divided by 6:
Divide 2400 by 6 is equal to 400.
So, this is incorrect option.
3.
2400 divided by 60:
Divide 2400 by 60 is equal to 40.
So, this is correct option.
4.
2400 divided by 600:
Divide 2400 by 600 is equal to 4.
So, this is incorrect option.
Hence, out of the four expressions, the third one, 2400 divided by 60, has a value of 40. So the correct answer is 3 (2400 divided by 60).
Learn more about Divided here:
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