There is a mistake 9,12,13 is not a right triangle. but 9,12,15 is. IF you use this triangle instead, then the area of the 13,14,15 triangle is the sum of the area of the other two triangles.

6 0

3 years ago

If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in

vagabundo [1.1K]

Answer:

90% of the variation in the dependent variable is explained by the independent variable.

Step-by-step explanation:

We are given the following in the question:

coefficient of determination = 0.9

We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.

Coefficient of Determination:

The coefficient of determination is a measure that explains and predicts the dependent variable.
It explains the variation in the dependent variable caused by the independent variable.
The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

$\text{Coefficient of Determination} = R^2 = 0.9 = 0.9\times 100\% = 90\%$

Thus, 90% of the variation in the dependent variable is explained by the independent variable.

8 0

3 years ago

Solve the system of equations by the addition method. 1 - 3x = -5y - 8 6x 3y = -5

Advocard [28]

$-3x = -5y -8~~~....(i) \\\\6x -3y = -5 ~~......(ii)\\\\\text{Multiply equation (i) by 2 and do (i) + (ii):}\\\\2 \cdot (-3x) + 6x -3y = 2(-5y-8) + (-5)\\\\\implies -6x +6x -3y = -10y -16 -5 \\\\\implies -3y = -10y -21\\\\\implies -3y +10y =-21\\\\\implies 7y = -21 \\\\\implies y = -\dfrac{21} 7 = -3\\\\\text{Substitute}~y =-3~ \text{in equation (ii):} \\\\6x - 3(-3) = -5\\\\\implies 6x +9 = -5\\\\\implies 6x = -5 -9 = -14\\\\\implies x = -\dfrac{14}6 = - \dfrac{7}3\\$

$\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)$

3 0

2 years ago

In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?

vfiekz [6]

Answer:

y = -0.5x + 10.5

Step-by-step explanation:

put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular

y = -0.5x + 10.5

4 0

2 years ago