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Veseljchak [2.6K]
3 years ago
9

Enter the y coordinate of the solution to this system of equations.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
-x-y=1
-y=1+x
y=-1-x

-1-x=-2x+9
-x=-2x+10
x=10

y=-1-10
y=-11
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A certain bridge arch is in the shape of half an ellipse 106 feet wide and 33.9 feet high. At what horizontal distance from the
nata0808 [166]

Answer:

The horizontal distance from the center is 49.3883 feet

Step-by-step explanation:

The equation of an ellipse is equal to:

\frac{x^2}{a^{2} } +\frac{y^2}{b^{2} } =1

Where a is the half of the wide, b is the high of the ellipse, x is the horizontal distance from the center and y is the height of the ellipse at that distance.

Then, replacing a by 106/2 and b by 33.9, we get:

\frac{x^2}{53^{2} } +\frac{y^2}{33.9^{2} } =1\\\frac{x^2}{2809} +\frac{y^2}{1149.21} =1

Therefore, the horizontal distances from the center of the arch where the height is equal to 12.3 feet is calculated replacing y by 12.3 and solving for x as:

\frac{x^2}{2809} +\frac{y^2}{1149.21} =1\\\frac{x^2}{2809} +\frac{12.3^2}{1149.21} =1\\\\\frac{x^2}{2809}=1-\frac{12.3^2}{1149.21}\\\\x^{2} =2809(0.8684)\\x=\sqrt{2809(0.8684)}\\x=49.3883

So, the horizontal distance from the center is 49.3883 feet

8 0
3 years ago
Plot the image of point A under a reflection across line<br> l.
sergiy2304 [10]

Answer:

Just from point a go 8 spaces to the left and place the dot over there.

Step-by-step explanation:

Since you are getting a reflection of a you need to move 4 spaces to the left of the line to get an exact mirror of point a or relfelction.

4 0
3 years ago
Read 2 more answers
Can someone help me with these 2 problems thank you
hjlf

Answer:

For question 6 there are 3 steps, and for question 7 there are 2 steps

Step-by-step explanation:

Question 6:

step 1. 89 x 2=178

step 2. 89 x 3=267

step 3. 267 + 178=445

Question 7:

step 1. 35 x 3= 105

step 2. 25 x 5= 12

Your're welcome :)

6 0
3 years ago
You are baking cookies for your class. There are 23 students I your class and you have baked 12 cookies. Write and solve an equa
Aliun [14]

(23 x 2) - 12 = x  


We need 2 cookies per student, so multiply the amount of students by 2. which is 23 x 2. Then because you already baked 12 subtract 12 from the original amount you needed to bake.  Which is 46 - 12. Oh and if you wanted the answer, it's 34.


3 0
3 years ago
Tree in Oakland has a mass of approximately 3 x 10 kilograms. A tree in Mapleville has a m
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Honestly don’t know but when in doubt pick c
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3 years ago
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