Answers
Answer:
1) x = 3, y = 2 or (3, 2)
2) x = 0, y = 2 or (0, 2)
6) x = 3, y = – 4 or (3, – 4)
Step-by-step explanation:
I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.
Question 1:[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]
Substitute the value of y in equation 2 into the first equation:
y = -2x + 5
-x + 2 = -2x + 5
Add 2x on both sides:
-x + 2x + 2 = -2x + 2x + 5
x + 2 = 5
Subtract 2 from both sides to isolate x:
x + 2 - 2 = 5 - 2
x = 3
Substitute the value of x into Equation 2 to solve for the value of y:
y = -x + 5
y = -(3) + 5
y = 2
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).
Question 3:
[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]
Substitute the value of y from Equation 2 into Equation 1:
3x + 5y = 10
3x + 5(-5x + 2) = 10
Distribute 5 into the parenthesis:
3x + -25x + 10 = 10
Combine like terms:
-22x + 10 = 10
Subtract 10 from both sides:
-22x + 10 - 10 = 10 - 10
-22x = 0
Divide both sides by -22 to solve for x:
[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]
x = 0
Substiute the value of x into Equation 2 to solve for y:
y = -5x + 2
y = -5(0) + 2
y = 2
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).
Question 6:[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]
Add 2x to both sides of Equation 2 to isolate y:
y – 2x = –10
y – 2x + 2x = 2x – 10
y = 2x – 10
Substitute the value of y from the previous step into Equation 1:
– 2x + 6y = – 30
– 2x + 6(2x – 10) = – 30
Distribute 6 into the parenthesis:
– 2x + 12x – 60 = – 30
Combine like terms:
10x – 60 = – 30
Add 60 to both sides:
10x – 60 + 60 = – 30 + 60
10x = 30
[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]
x = 3
Substitute the value of x into Equation 2 to solve for y:
y – 2x = –10
y – 2(3) = –10
y – 6 = –10
y – 6 + 6 = –10 + 6
y = – 4
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).
Related Questions
Will mark brainliest
Answers
Answer:
Quadrant 3 or aka Quadrant III
Step-by-step explanation:
The top right quadrant is the first quadrant. Aka Quardant 1
The top left quadrant is the second qudrant. Aka Quadrant 2
The bottom left quadrant is the third quadrant. Aka Quadrant 3
The bottom left quadrant is the fourth quadrtant. Aka Quadrant 4
The heart is located in the bottom left quadrant. Meaning, it is the third quadrant. Aka Quadrant 3
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Send me a message on it and I'll follow you right back
triangle ABC rotated 90 degress clockwise about point P to create triangle DEF. Determine the correct orientation and location of triangle DEF
Answers
When a triangle is rotated, it must be rotated through a center.
The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)
The triangle is given as: triangle ABC.
And the degree of rotation is 90 degrees clockwise.
Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.
And the orientation would point to the right of point P.
Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).
Read more about rotation at:
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Can somebody please help me i need this urgently.
Answers
Answer:
multiple choice is worth 2
short response is worth 4
Step-by-step explanation:
23x + 10y = 86
28x + 5y = 76
solve by elimination
multiply the top by -1 and the bottom by 2
-23x + -10y = -86
56x + 10y = 152
add them
33x = 66
x = 2
with x = 2 plug x into one of the equations
23x + 10y = 86
23(2) + 10y = 86
46 + 10y = 86
10y = 40
y = 4
x = 2 and y = 4 so
multiple choice is worth 2
short response is worth 4
Please help solve this question!
Answers
Answer:
[tex]\sqrt{49 - x^{2}}[/tex]
Step-by-step explanation:
Pythagorean theorem [tex]c^{2} = a^{2} + b^{2}[/tex] Then:
[tex]7^{2} = x^{2} + y^{2}\\y^{2} = 7^{2} - x^{2}\\y^{2} = 49 - x^{2}\\y = \sqrt{49 - x^{2}}[/tex]
the lenght of the third side = [tex]\sqrt{49 - x^{2}}[/tex]
Ф = [tex]sin^{-1} (\frac{x}{7} )[/tex]
Ф = [tex]cos^{-1} (\frac{y}{7} )[/tex]
Ф = [tex]tan^{-1} (\frac{x}{y} )[/tex]
Compare 37,007 and 30,707. Which
is greater?
Answers
Answer: 37,007 is greater
Step-by-step explanation:
Can i get a brainliest
Answer:
37,007 is greater than 30,707
Step-by-step explanation:
Thats because as you can see reading the numbers left to right, the first ones on the far left are both 3s. so so far they're the same. then go to the second number, making sure you're moving left to right. 7 is more than 0 therefor 37,007 is greater than 30,707
Tell whether the ordered pair is a solution to the equation. Please show how you solved it.
(4, 4); y = -x + 8
Answers
Answer:
The ordered pair is a solution to the equation
Step-by-step explanation:
Plug the ordered pair into the equation as (x,y):
y = -x + 8
4 = -4 + 8
4 = 4
Since both sides are equal to each other, then the ordered pair is a solution to the equation.
Yes, it is a solution to the equation.
Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!
help pls i don't know how to do it
Answers
Answer:
y=5x-8
Step-by-step explanation:
Slope=m=(7-3)/(3-2)
y=5x+b=>2=5*2+c=>c=-8
So y=5x-8
[tex]\text{Given that,}\\\\(x_1,y_1) = (2,2), ~ \text{and}~ (x_2,y_2) = (3,7)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{7-2}{3-2} = \dfrac 51 = 5\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y-2= 5(x-2)\\\\\implies y -2 = 5x-10\\\\\implies y = 5x -10 +2\\\\\implies y = 5x -8\\\\\\\text{It is now in a form of y = mx +c}[/tex]
one yard is the same as A.12 inchs. B.24 inches. C.3 feet. D.1 foot
Answers
Answer: C. 3 feet
Step-by-step explanation:
1 yard is equivalent to 3 feet.
i did the upgrade what do i do now?
Answers
Solve using elimination 5x+7y=9
2x-3y=-37
Answers
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answers
Answer:
16 and 2
Step-by-step explanation:
16+2=18
16-2=14
50 POINTS MATH HELP ASAP
Answers
Answer: 90° + 41° =131° 180°-131° =149°
X=5.5-6
Step-by-step explanation:
Step-by-step explanation:
i think it is the answer ...
The length of a rectangle is 6 inches more than 4 times its width. A similar
rectangle has a length of 18 inches and a width of 4 inches. What is the area of the
first rectangle??
Answers
Answer:
18 × 4 is 72...
so.. the area of rectangle is 72inches²
Step-by-step explanation:
to find the area of rectangle is Lenght multiple with its Width
what is the perimeter of rectangle INA
9.10
10 units
10 unite
18 unita
unite
Answers
Answer:P=2(l+w)
Step-by-step explanation: its easy
Help?please rnnnn………
Answers
Answer:
8,176
Step-by-step explanation:
You have to first do 8 × 5110 = 40,880
Then you divide 40,880 by 5
40,800 ÷ 5 = 8,176
Solve for x. I need help understanding my math.
Answers
Answer:
x = 33
Step-by-step explanation:
11 - 4 = 7
You need to make that fraction equal 11
33/3 = 11
I hope this helps!
2. Name 3 points that are collinear*
2
s
S
R
O points T, Q, and R
O points T, Q, and S
O points S, Q, and R
Answers
Answer:
T, Q, and R
Step-by-step explanation:
These points are all on the same line, making them collinear.
I hope this helps!!
Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of the car sales. If Mr.Wedmore brought in $10,000 worth of profit, for the dealership, how much would he earn this month
Answers
Answer:
25% of 2000= 500
25% of 10000= 2500
Step-by-step explanation:
Manolo and Annalisa make handbags. Manolo made 16 handbags the first day and 12 each day after
that. Annalisa made 8 the first day and 12 each day after that.
Answers
Based on the amount being made by Manolo and Annalisa every day, the amount both made on the various days were:
Annalisa made 8 bags on Day 1Manolo had made 40 bags by Day 3Annalisa is said to have made 8 bags on the first day so this is the number of bags that should be put in the table for having been made in the first day.
Manolo made 16 bags on the first day and then 12 bags each day after that. The total number of bags made by the third day by Manolo would be:
= 16 + 12 + 12
= 40 bags
In conclusion, Annalisa made 8 bags on Day 1 and Manolo had made 40 bags on the 3rd day.
Find out more about this at https://brainly.com/question/11864663.
26. Dy Aminah arrived at her office at 07 45h. The journey to her office was 50 minutes. At what time did she leave her house?
Answers
Answer:
6 55
Step-by-step explanation:
According to the National Institute of Health, about 37% of high school seniors have vaped in the past year. Suppose that a survey contacts an SRS of 400 high school seniors and calculates the sample proportion, , in this sample who have vaped in the past year. What is the mean of the sampling distribution of ?
Answers
Using the Central Limit Theorem, it is found that the mean of the sampling distribution of sample proportions is 0.37.
The Central Limit Theorem establishes that, for a proportion p in a sample of size n, the sampling distribution of sample proportions has:
Mean [tex]\mu = p[/tex].Standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]For this problem, about 37% of high school seniors have vaped in the past year, hence [tex]p = 0.37[/tex].
Then, the mean of the sampling distribution of sample proportions is 0.37.For more on the Central Limit Theorem, you can check https://brainly.com/question/4086221
Which is an example of nonverbal communication?
O A. Test questions
O B. An outline
O C. Words like please
O D. Body posture
Answers
Hope this helps. Pls give me the brainliest if it does.
Which graph represents an function
Answers
but the function is any graph that is completely straight and goes through the center (0,0)
Help please please!!!
Answers
HELP MEEEEEEEEEEEEEEEE!!!
Answers
Answer:
enlargement: >1reduction: <11: same sizeStep-by-step explanation:
The scale factor of an enlargement is greater than 1.
The scale factor of a reduction is less than 1.
A scale factor of 1 will produce a congruent figure, one the same size as the original.
_____
A longer way to say it
A figure is enlarged when its dimensions are greater than those of the original. Then the ratio of dimensions will be ...
(greater than original)/(original) = greater than 1
Similarly, a figure is reduced when its dimensions are less than those of the original:
(less than original)/(original) = less than 1
Multiplying dimensions by a scale factor of 1 does not change them. The scaled figure is the same size as the original.
what is 1+1-2+3+1-4+5-5+6+2-8+8 x 2-16+4x5-20 = ?
first to answer correctly gets marked brainliest
Answers
Answer: The answer is 0.
FURNITURE A modern table is constructed with four legs made
of concrete cubes with cube-shaped notches.
a. Define one or more variables and write an expression that
represents the volume of one table leg.
b. Marisol determined that she will use 12,636 cubic inches of
concrete to construct the four table legs. If the sides of the
notches are 40% of the sides of the legs, how long are the sides of the legs?
Answers
The volume of a shape is the amount of space in it.
The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long(a) The volume of one table leg
Represent the side length of the leg with l, and the side length of the notch with n.
So, the expression that represents the volume of one table leg is:
[tex]V = l^3 + n^3[/tex]
(b) The length of the sides
From the question, we have:
[tex]n = 40\% \times l[/tex]
Express 40% as decimal
[tex]n = 0.40 \times l[/tex]
[tex]n = 0.4l[/tex]
Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]
[tex]V =l^3 + (0.4l)^3[/tex]
[tex]V =l^3 + 0.064l^3[/tex]
[tex]V =1.064l^3[/tex]
The volume of the 4 legs is given as: 12636
So, the volume of one leg would be 12636/4
So, we have:
[tex]1.064l^3 = \frac{12636}{4}[/tex]
[tex]1.064l^3 = 3159[/tex]
Divide both sides by 1.064
[tex]l^3 = 2968.985[/tex]
Take cube roots of both sides
[tex]l = 14.37[/tex]
Hence, the sides of the legs is 14.37 inches long
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https://brainly.com/question/1972490
1. Mahammed bought 4 boxes of chocolates online. Postage was $10 and the total cost was $58. Let b represent the price of each box.
Answers
Answer: $14.5
Step-by-step explanation: you divide 58 by 4 . each box is 14.5. total cost is $68 if you add postage
Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown?
Answers
Answer:
y > 3x - 4
Step-by-step explanation:
lmk if you want an explanation
What should the IUPAC name for a binary covalent compound lack? prefixes Roman numerals an -ide ending the name of a nonmetal.
Answers
The IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.
A binary compound is a compound that is composed of only two elements. Many binary compounds could be made up of a metal and a nonmetal or even two nonmetals as the case may be. Examples of binary compounds include; SO2, NaH, K2S etc.
We must note that a binary covalent compound uses Roman numerals to indicate the oxidation state of the central atom in the compound. For instance, SO2 is called Sulfur IV oxide.
Hence, the IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.
Lear more about IUPAC: https://brainly.com/question/11587934
