Yes.
A quadrilateral is a rectangle if it has four right angles. Squares do have four right angles, so they are rectangle.
Squares are particular case of rectangles, in that they also have four sides with equal length, but that's the point: they have something <em>more</em> than the generic rectangle, not something less.
So, squares meet the condition to be a rectangle, and have an extra property that makes them "special" among rectangles.
Answer & Step-by-step explanation:
<em>(x² - 5x)(2x² + x - 3)</em>
Multiply each term from the first expression into the second expression.
<em>2x⁴ + x³ - 3x² - 10x³ - 5x² + 15x</em>
Combine like terms.
<em>2x⁴ - 9x³ - 8x² + 15x</em>
So, after you multiply the expressions, your answer will be 2x⁴-9x³-8x²+15x.
Answer:
301.189
Step-by-step explanation:
Given the table :
Source of Variation - - SS - - - df - - - MS - - - - F
Regression - - - - - -3177.17 - - -2 - - 1588.6
Residual - - - - - - - - ______ --17 - - -17.717
Total - - - - - - - - - - 3478.36 - - 19
Calculate the SSR, Sum of Square residual
The Sum of Square RESIDUAL (SSR), Mean Square Residual (MSR) and Degree of Freedom RESIDUAL (DFR) are related by the formular :
MSR = SSR / DFR
Hence,
SSR = MSR × DFR
Fr the table ;
MSR = 17.717 ; DFR = 17
SSR = (17.717 × 17)
SSR = 301.189
Answer:
It is B. hyperbola, 45 degrees.
SteIt is p-by-step explanation:
If we rotate the standard form x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.
xy = -2.5 comes from x^2 - y^2 = -5 being rotated 45 degrees.
Answer:
E' (-2,5)
F' (-3,1)
G' (-2,-1)
H' (0,3)
Step-by-step explanation:
The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).
