Answer:
Step-by-step explanation:
So im gonna be using the substitution method because its easier
We divide the equations into two and solve for y
-6x+y=20
We add 6x to both sides
-6x+y+6x=20+6x
y=6x+20
Now we plug in 6x+20 for y into the other equation
2x+3y=10
2x+3(6x+20)=10 We can simplify now
20x+60=10
20x=-50
take 20 from both sides so its gonna be a fraction
-5/2
We plug in -5/2 for x
y=6(-5/2)+20
y=5
]so therefore x is -5/2 and y is 5
珠ɪᴢᴜᴍɪᴿᴬᴳᴱ
The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given the expression,
2x + 3y = 10 -6x + y = 20
So,
2x + 3y = 20 and 10 - 6x + y = 20
To remove y we need to find y and substitute.
So by substituting,
10 - 6(20 - 3y)/2 + y = 20
y = 7
So,
2x + 21 = 10 - 6x + 7 = 20
Hence "The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20".
For more about the equation,
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The given question is in the Spanish language in English it is ;
{2x + 3y = 10 -6x + y = 20 if it is solved by the equalization method, what is the equality that results if the variable y is cleared from both equations?
The equations -6x + 3y = 6 and x² + y = 10 intersect at the
coordinates (a, b) and (c,d).
(Hint: (a, b) is in Quadrant III)
What is the value of a?
What is the value of b?
What is the value of c?
What is the value of d?
The values of the letters in coordinates (a, b) and (c,d) are;
a = -4
b = -6
c = 2
d = 6
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
We are told that they intersect at coordinates; (a, b) and (c, d).Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
Let us put 10 - x² into eq 1 to get;-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation solver, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
Thus, the coordinates are; (-4, -6) and (2, 6)Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; https://brainly.com/question/15165519
if you wrote the number 0.0009763 as a single digit times a power of ten, would the exponent be positive or negative? explain.
Answer:
10^n means to multiply by 10
10^-n means to divide by 10 or multiply by 1 / 10
So .0009763 means 9.763 / 10000 = 9.763 * 10-4
can also write as 9.763E-4
If multiplying then the power of 10 would have to be negative
solve (x - 4)^2 = 5
A. x = -4 ± √5
B. x = 9 and x = - 1
C. x = 5 ± √4
D. x = 4 ± √5
6. Find the interval(s) over which the function is constant
please help me!!
A. (-infinity, 1)
B. (3, infinity)
C. (-infinity, -2) U (3, infinity)
D. (-infinity, -2)
the answer is d!
Step-by-step explanation:
the constant line starts at (-2, 1) and goes on forever
Lowest term of 4 11/12
Answer:
its already at its lowest. you can write it as a decimal 0.916667, but this fraction is already at its lowest.
Look at the picture. Please just look at the picture and then answer it.
Answer:
It's not quite clear from my side
Step-by-step explanation:
because I am having Internet connection problems and my phone is not functioning properly
hi please help me with number one:)
Answer:
(0,-1); (0,-2); (2,0); (2,-2)
Step-by-step explanation:
when rotating 180 degrees all the points have their coordinate sign's flipped.
so the points go from:
(0,1) --> (0,-1)
(0,2) --> (0,-2)
(-2,0) --> (2,0)
(-2,2) --> (2,-2)
so your new shape will have the points (0,-1); (0,-2); (2,0); (2,-2)
What is the missing value??
Answer:
17
Step-by-step explanation:
The 'y' is increasing by 4 every time 'x' is going up by 1
Help this is due tmr!!
Answer:
A is correct
Step-by-step explanation:
PLEASE HELP ME !!!!!! EASY!!!!
Answer:
JL = √38.
a = 1 and b = 38.
Step-by-step explanation:
Using Pythagoras:
(JL)^2 = (√8)^2 + (√30)^2
(JL)^2 = 8 + 30 = 38.
JL = √38.
Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).
Answer: y = -(4/3)x + 1
Step-by-step explanation:
Let's start with finding an equation of a straight line (y=mx+b) that goes through points (-2,1) and (6,7).
The slope of a line, m, is the change in y for the change in x, or Rise/Run.
This is derived from the two points.
Rise (7-1) = 6
Run (6 - (-2)) = 8
Rise/Run = 6/8 or 3/4
The line is therefore y = (3/4)x + b
Find b by using one of the two points. I'll use (-2,1), but the other would also work.
y = (3/4)x + b
1 = (3/4)(-2) + b
1 = -(6/4) + b
b = 10/4
The line becomes y = (3/4)x + 10/4
--------
A line perpendicular to this will have a slope that is the negative inverse of the original line. The negative inverse of (3/4) is -(4/3).
The perpendicular line will be:
y = -(4/3)x + b
Use point (-6,9) to find b:
y = -(4/3)x + b
9 = -(4/3)*(-6) + b
9 = (24/3) + b
b = (27/3 - 24/3) = 3/3 = 1
The line is y = -(4/3)x + 1
6+8÷2
mathematics middle school
Answer:
10Step-by-step explanation:
6+8÷2=
6+4=
10
Answer:
10
Step-by-step explanation:
This can be calculated correctly using BIDMAS. This stands for Brackets, Indices, Multiply, Divide, Add, Subtract. Using BIDMAS will allow us to know what order to answer the question in.
In BIDMAS, Divide comes before Add, so we know to do this part first. So we do 8 divided by 2 which is 4.
The next part of our question is to add 6, so we do 6+4=10. So, 10 is the final answer.
solve for Y -2(y-3)+12y>16
Answer:
Y>1
Step-by-step explanation:
Help if u understand please and ty
Solve all these correct to get brainliest!
Basic algebra 1:
x+4=11
Basic algebra 2:
x+3=24
Basic algebra 3:
4x=12
Basic algebra 4:
5x+3=33
Basic algebra 5:
8x+5=3x+20
Algebra basic fractions 1:
[tex]\frac{1}{2} x=4[/tex]
Algebra basic fractions 2:
[tex]\frac{4}{3} x=4[/tex]
Algebra basic fractions 3:
[tex]2x+-4=8[/tex]
Algebra basic fractions 4:
[tex]\frac{1}{3} x+\frac{1}{2}x=20[/tex]
Algebra basic fractions 5:
[tex]\frac{1}{3} x=\frac{1}{5} x+10[/tex]
Answer:
1) x + 4 = 11
Subtract 4 on both sides, to get x = 7 .
2) x + 3 = 24
Subtract 3 on both sides, to get x = 21 .
3) 4x = 12
Divide 4 on both sides, to get x = 3 .
4) 5x + 3 = 33
First subtract 3 on both sides to get
5x = 30, now divide 5 on both sides, to
get x = 6 .
5) 8x + 5 = 3x + 20
First subtract 5 from 20 in order to
move it, now you have 8x = 3x + 15 .
Next subtract 3x from 8x in order to
move it, now you have 5x = 15 . Lastly
divide 5 on both sides, to get x = 3 .
1) 1/2 x = 4
Multiply both sides by 2, to get 1x = 8,
or x = 8 .
2) 4/3 x = 4
Multiply both sides by 3, to get 4x = 12 .
Next divide 4 on both sides to get
x = 3 .
3) 2x + (-4) = 8
Add 4 on both sides, to get 2x = 12 .
Next divide 2 on both sides to get
x = 6 .
4) 1/3 x + 1/2 x = 20
First multiply the denominators to get a
common denominator of 6 and then
add 3 and 2, to get the numerator. Now
you have 5/6 x = 20 . Next multiply 6
on both sides to get 5x = 120 . Lastly
divide 5 on both sides to get x = 24 .
5) 1/3 x = 1/5 x + 10
First multiply the denominator to get a
common denominator of 15 and then
subtract 3 from 5 to get the numerator.
Now you have 2/15 x = 10 . Next
multiply 15 on both sides to get
2x = 150. Lastly divide 2 on both sides
to get x = 75 .
Hope this helped :)
Btw sorry it's so long.
Answer:
For to the be the studip
Step-by-step explanation:
Yes, give man brainiest
PLEASEEE HELPPP………….
y= -1/7x - 3 :))))))))))))
I believe that it’s c, but I’m
not certain… Can someone help me out?
Answer:
Yes, the answer is C {3,5,7}
Domain of a function is the input value and range is the result or output value that we get.
12/13+(-1/13 complete the expressions to find the sum or difference..
Answer:
11/13
Step-by-step explanation:
[tex]\frac{12}{13}+ (-\frac{1}{13} )[/tex] [tex]\frac{12}{13} - \frac{1}{13}[/tex] [tex]\frac{11}{13}[/tex]Two friends live 15 miles apart. One day, they decide to jog and meet each other. Tanya leaves her house and heads east, jogging at a rate of 2.5 miles per hour. At the same time Kelly leaves her house and heads west, jogging at a rate of 3.5 miles per hour. How long does it take for the two to meet?
Answer:
1000
Step-by-step explanation:
Answer: 1000
Step-by-step explanation:
The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.
X
Answer: x = 6
Step-by-step explanation:
The perimeter of the isosceles triangle = 2 leg + base
Since the perimeter = 60
then 60 = 2(5x - 3) + x
60 = 10x - 6 + x
60 + 6 = 11x
6 = x
Find the difference (7-3t) - 5(-1.6t + 5)
Answer:
5t - 18
Step-by-step explanation:
STEP 1: Simplify 8/5
equation at end- 8 (7 - 3t) - (5 • ((0 - (— • t)) + 5)) 5
STEP 2: 2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
5 5 • 5
5 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
\2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-8t + 5 • 5 25 - 8t
——————————— = ———————
EQUATION AT END: (25 - 8t)
(7 - 3t) - (5 • —————————)
5
STEP 3: (7 - 3t) - (25 - 8t)
Can trigonometric relationships be applied to non-right triangles? Explain your stance.
A few but not all .
Let's learn some trigonometric identities
[tex] \boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]
Mr. Sayre purchased one can of peanuts and some apples. One can of peanuts cost $4. The apples cost $2 per pound. There was no tax on Mr. Sayre's purchase. Mr. Sayre spent $13.
How many pounds of apples did he purchase?
Answer:
He purchased 4 1/2 pounds of apples.
Step-by-step explanation:
Total of 13 dollars
One can of peanuts cost 4 dollars so subtract 4 from 13
You have 9 dollars that you spent on apples
if the apples cost 2 dollars per pound
divide
(how many times 2 can go in 9)
Only 4.5 (AKA 4 1/2)
9 divded by 2
Please help I don't understand this!
Answer:
5
Step-by-step explanation:
you have to look at the temperature in the picture and look at how it slopes down and predict.
a whole pizza is cut into twelfiths. if dexter eats 1/2 of the pizza and landry eats 1/3 of the pizza then what fraction of the pizza remains
Answer:
1/6
Step-by-step explanation:
Start be rewriting your fractions with a common denominator
Multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{6}{6}[/tex] to get [tex]\frac{6}{12}[/tex]
Multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{12}[/tex]
These are the fractions of the pizza eaten in twelfths like the pizza is cut into.
Now subtract from [tex]\frac{12}{12}[/tex] which is the whole pizza to find the pizza remaining
[tex]\frac{12}{12} -\frac{6}{12}-\frac{4}{12} =\frac{12-6-4}{12} =\frac{2}{12} =\frac{1}{6}[/tex]
hey guys pls help mee!!! numbers between 2/3 and 8/9???
Answer:
kindly see attachment carefullyStep-by-step explanation:
hope it helpsAnswer:5 rational numbers are 19/27, 20/27, 21/27, 22/27, 23/27
Step-by-step explanation:
solve for x
5=7+x
x=
Solve the inequality.
Answer:
w ≤ 2/5
Step-by-step explanation:
−2w+7≥3w+5
Step 1: Subtract 3w from both sides.
−2w+7−3w≥3w+5−3w
−5w+7≥5
Step 2: Subtract 7 from both sides.
−5w+7−7≥5−7
−5w≥−2
Step 3: Divide both sides by -5.
−5w/−5≥−2/−5
w≤2/5
Answer:
w ≤ 2/5
solve 8(m - 5 ) = 48
solve x + 7 = 13
solve 3h - 5 = 12
please answer with an explanation
giving 30 points
Answer
[tex]1)8(m -5 ) = 48 \\ 8m - 40 = 48 \\ 8m = 48 + 40 \\ 8m = 88 \\ \frac{8m}{8} = \frac{88}{8} \\ m = 11[/tex]
[tex]2)x + 7 = 13 \\ x = 13 - 7 \\ x = 6[/tex]
[tex]3)3h - 5 = 12 \\ 3h = 12 + 5 \\ 3h = 17 \\ \frac{3h}{3} = \frac{17}{3} \\ h = 5 \frac{2}{3} [/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
Answer:
m=11, x=6, h=5 2/3
Step-by-step explanation:
8(m-5) = 48
m-5 = 48/8 = 6
m = 6+5 = 11
m = 11
x + 7 = 13
x = 13-7 = 6
x = 6
3h - 5 = 12
3h = 12 + 5 = 17
h = 17/3 = 5 2/3 or 5.67
he equation of the line of best fit relating age (in years) and the median height (in cm) of boys is given.
y = 6.5x + 75.5
Which statement below best interprets the slope in the context of the problem?
Answer:
proof: answer is 2/13
1 / 6.5 = m
m = 0.153846154
10/65 = m
m = 2/13
2/13 = m
m = 0.153846154
Therefore we could show multiplication proof
m = 10/65 = m = 2/13
2 x 5 = 10
13 x 5 = 65
Step-by-step explanation:
See attached graph of y = 6.5x+75.5
plotting the graph
1. Mark y intercept at 75.5 as given in the equation
2. find the slope to whole numbers
m = 10 across / 65 across = 6.5 slope
Mapping Pythagoras 10^2 +65^2 = c^2
sqrt 100 + sqrt 4225 = c^2
c^2 = sqrt 4225 = 65.7647322 = 65.8
0.7647322 / 65 = 0.0117651108 = 100th
65 + 0.0117651108 = 65.011765.....
Therefore 10 across / 65.0118 down
or 10 across / 65 down is another way to graph, as seen on graph.
m = 10/65 = m = 2/13
2 x 5 = 10
13 x 5 = 65