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bonufazy [111]
2 years ago
5

How wide is the gate

Mathematics
1 answer:
nevsk [136]2 years ago
5 0
12 cm long and 7 wide
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consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two
Oksana_A [137]

Answer:

(-2, 1)

Step-by-step explanation:

consider the following equations: -x-y=1 y=x+3

For the lines to intersect, the  values must be the same

-x-y=1

x + y = -1

y = -x - 1

Equating the y values

-x - 1 = x+ 3

-x-x = 3 + 1

-2x = 4

x = 4/-2

x = -2

Substitute x = -2 into y = x+3

y = -2 + 3

y = 1

Hence the required coordinate is (-2, 1)

7 0
2 years ago
Find one value of x that is a solution to the equation:<br>(x^2– 8)^2 + x^2 – 8 = 20<br>x=​
Kipish [7]

Answer:

x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

Step-by-step explanation:

Solve for x:

-8 + x^2 + (x^2 - 8)^2 = 20

Expand out terms of the left hand side:

x^4 - 15 x^2 + 56 = 20

Subtract 20 from both sides:

x^4 - 15 x^2 + 36 = 0

Substitute y = x^2:

y^2 - 15 y + 36 = 0

The left hand side factors into a product with two terms:

(y - 12) (y - 3) = 0

Split into two equations:

y - 12 = 0 or y - 3 = 0

Add 12 to both sides:

y = 12 or y - 3 = 0

Substitute back for y = x^2:

x^2 = 12 or y - 3 = 0

Take the square root of both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0

Add 3 to both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3

Substitute back for y = x^2:

x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3

Take the square root of both sides:

Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

8 0
3 years ago
Solve the equation 121x2+64=0
olganol [36]

Answer:

x = ± 8i/11

Step-by-step explanation:

121x2+64=0

121x^2 = -64

x^2 = -64/121

x = +/- √(-64/121)

x = +/- 8i/11

4 0
3 years ago
Explain well and I’ll mark brainliest
Marat540 [252]
Add all values together which is 371
and all the numbers plus one more is 8
which means 52x8 would be the total sum of all the numbers which is 416
so 416-371 is the last value which is 45
7 0
2 years ago
Read 2 more answers
.8x-.3y=5<br> 1.4x-.9y=11
PolarNik [594]

Answer:

(x,y)=(-22/49,-5566/147)

Step-by-step explanation:

6 0
3 years ago
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