Answer:
y-32=-4(x-25) point slope form
Step-by-step explanation:
y-y1=m(x-x1)
y-32=-4(x-25)
The result of multiplying the polynomials is (2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
<h3>How to multiply the
polynomials?</h3>
The polynomial expression is given as
(2x + 3) (-x + 2y - 4)
Expand the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = 2x * (-x + 2y - 4) + 3 * (-x + 2y - 4)
Open the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 8x + -3x + 6y - 12
Evaluate the like terms in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
Hence, the solution is -2x² + 4xy - 11x + 6y - 12
Read more about polynomials at
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One quarter
quarter means 4
so one quarter is 1 out of 4
or the fraction 1/4
or the decimal 0.25
Hope this helps!
No, he can not do it
Step-by-step explanation:
To prove that the the given three sides can form a right triangle:
- Square the three sides
- Add the squares of the smaller two sides
- If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
- If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle
∵ The designer has three partitions that are 14 , 9 and 20 feet
- Square the length of each partition
∵ 9² = 81
∵ 14² = 196
∵ 20² = 400
- Add the squares of the two smaller partitions 9 and 14
∵ 81 + 196 = 277
∵ The square of the largest partition = 400
∵ 277 ≠ 400
∴ The sum of the squares of the two smaller partitions is not
equal to the square of the third partition
- To create the apartment in the shape of a right triangle he must
have three partitions the sum of the squares of the two smaller
partitions is equal to the square of the largest partition
∴ He can not create the apartment in the shape of a right triangle
No, he can not do it
Learn more:
You can learn more about the right triangles in brainly.com/question/4098846
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9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is <em>consistent</em> and <em>independent</em>.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
