Help solve mathematics question, please. Photo.
Answers
Hi Mark
3x+y=4
2x+y=5
Solve 3x+y=4 for y
Add -3x to both sides
3x+y-3x=4-3x
y=-3x+4
Substitute -3x+4 for y in 2x+y=5
2x+y=5
2x-3x+4=5
Simplify both sides of the equation
-x+4=5
Add -4 to both sides
-x+4-4=5-4
-x=1
Divide both sides by -1
-x/-1= 1/-1
x=-1
Substitute -1 for x in y=-3x+4
y=-3x+4
y=(-3)(-1)+4
Simplify both sides of the equation
y=7
Answer: (-1,7)
I hope that's help ! Have a great weekend :)
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Answers
It’s a personal challenge
Answers
The first one is always what is given.
Then work through the rest.
See the attached picture:
Answer:
This one is actually in order already.
First box to A.
Second box to B
Third box to C.
Fourth box to D.
Fifth box to E.
Step-by-step explanation:
You always start with the given. So the first box goes to A.
The second box goes with B. When angle is bisected it is cut into two congruent halves. That means that left part of the angle of A has an equal measurement to that of the right part of the angle of A. So Angle BAD is congruent to Angle CAD.
Those base angles are B and C even though it isn't written there.
x (related) x is the reflexive property. This is what you have here where the related part is the congruence and the element being talking about is AD on both sides. So The third box goes with the reflexive option. The third box goes with C.
So you have by the given that AB and AC are congruent; those are the left and right leg of the big triangle.
You also have that Angle's BAD and CAD are congruent (those are the angles at the top in the two different triangles. You also have that they share the side right after.
So you are given 2 corresponding sides are congruent and the angle right between them in each is congruent.
We have enough information to prove the triangles are congruent by SAS. This fourth box should be matched with D.
Lastly, since the triangles are already congruent by SAS, then the other remaining corresponding sides are congruent and the other remaining corresponding angles are congruent. So Angle B and Angle C are congruent due to corresponding parts of congruent triangles are congruent. Last box is to be matched with E.
72.81
72.9
70
72.8
Answers
Answer:
72.8
Step-by-step explanation:
The tenth is the immidiate number after the decimal point, so if you are rounding tho the nearest tenth, you have to remember that if you have any number from 5-9 you have to round up, and if you have any number from 1-4 you have to round down, in this case as you have a .807, it´s a ,07 you have to round down to 72.8
Answer:
answer 72.8
Step-by-step explanation:
4x – 14y = –68
Answers
In order to make the coefficient of y of the second equation be equal to 7, we divide it by 2. Resulting to:
2x - 7y = -34
Next, add the two solutions so that the y term is eliminated. The result is:
10x = 5
Then solve for x
x = 1/2
Substitute x to either of the solution to solve for y. The result is:
y = 5
Final answer:
The solution to the system of equations 8x + 7y = 39 and 4x – 14y = -68 via elimination is x = 0.5 and y = 5.
Explanation:
The two given equations are 8x + 7y = 39 and 4x – 14y = -68. The method for solving this is elimination.
- First, modify the second equation by multiplying every term by 2.
- This will give 8x - 28y = -136.
- Now, you have two equations 8x + 7y = 39 and 8x - 28y = -136 that can be combined by subtraction: 8x - 8x + 7y - (-28y) = 39 - (-136).
- Simplification gives 35y = 175, so y = 5.
- Substituting y = 5 into the first equation, 8x + 7*5 = 39, which simplifies to 8x + 35 = 39, and then to 8x = 4, so x = 0.5.
Learn more about Systems of equations here:
#SPJ2
Answers
Answer:
Her second lap was 8% better when compared to her first lap.
Step-by-step explanation:
Given:
Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.
Now, to find how much better was her second lap when compared to her first lap.
Emily ran her first lap in 75 seconds.
Emily ran her second lap in 69 seconds.
So, we get the difference in seconds:
Thus, in her second lap she was 6 seconds better than first.
Now, to get the percentage of her first lap better than second:
Therefore, her second lap was 8% better when compared to her first lap.