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8090 [49]
3 years ago
15

X² + y² = 34x + y =8​

Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  = 34 \\ x + y = 8 \\ x = 8 - y \\ substitute \: x \: in \\  {x}^{2}  +  {y}^{2}  = 34 \\  {(8 - 4)}^{2}  +  {y}^{2}  = 34 \\  {(8 - 4) }^{2}  =  {y}^{2}  - 16y + 64 \\   {y}^{2}  - 16y + 64 +  {y}^{2}  = 34 \\  {2y}^{2}  - 16y + 64 = 34 \\ {2y}^{2}  - 16y + 64  - 34 = 0 \\  {2y}^{2}  - 16y + 30 = 0 \\ 2 {y}^{2}  - 6y - 10y + 30 = 0 \\ (2 {y}^{2}  - 6y) - (10y + 30) = 0 \\ 2y(y - 3) - 10(y - 3) = 0 \\ (2y - 10)(y - 3) \\ 2y = 10 \\ y  = \frac{10}{2}  \\ y = 5 \\ or \\ y = 3 \\ if \: y = 5 \:  \: x = 3 \\ if \: y = 3 \:  \:  x = 5

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B³ - 3a⁵ = what is the answer or how simplified
ludmilkaskok [199]

Answer:

Nothing further can be done with this topic. its simplified already

Step-by-step explanation:

3 0
3 years ago
Line XY bisects and is perpendicular to AB and CD. CD = 10 and XY = 24. What is the length of AP?
myrzilka [38]

Answer:

<u>AP = 13</u>

Step-by-step explanation:

See the attached figure.

CD = 10 and XY = 24

Line XY bisects and is perpendicular to AB and CD

∴ XY bisects at Y

∴ CY = 0.5 CD = 0.5 * 10 = 5

And from the geometry of the shape

P is the midpoint of XY

∴ XP = YP = 0.5 XY = 0.5 * 24 = 12

XY is perpendicular to CD

∴ ΔPYC is a right triangle at Y

∴ PC (hypotenuse) = \sqrt{PY^2+YC^2} =\sqrt{12^2+5^2}=\sqrt{144+25} =\sqrt{169} =13

From the figure AP = PC = 13

8 0
3 years ago
SOMEONE HELP PLEASE HELP
kotegsom [21]

triangle XBR is similar to triangle YNJ.


Similar triangles are triangles with lengths in proportion, and congruent corresponding angles. When naming a similar triangle, the letters or vertexes are listed in a certain order. For instance, angle X is the same as angle Y so those two letters have to be in the same position. In this case, they are both the first letters. Angle B is congruent to angle N and angle R is congruent to angle J so they will also have to be in corresponding positions. The side lengths are extraneous information that can be used to check, but otherwise I would just stick with angles. Hope this helps!

6 0
4 years ago
Write the ratio in lowest terms: 4415 feet to 22245 feet
NemiM [27]

since they both end with 5 divide each number by 5

4415 = 883

22245/5 = 4449

there is no number that can go into 883 evenly

 so the lowest term

 would be 883/4449

8 0
3 years ago
231 km 811 m + 485 km 829 m
Goshia [24]
The answer I got is 717.64 but I could be wrong
5 0
4 years ago
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