6x - 2y = 10
-2y = -6x + 10...reduce by dividing by -2
y = 3x - 5....slope = 3 and y int = -5
y = 3x + 2 ...slope = 3, y int = 2
These lines are parallel. Parallel lines will have the same slope, but different y int's. There is no solution to this because ur lines never intersect.
Mark's answer is correct
Vertex; (1.5, 11.025)
maximum; 11.025
y-intercept; (0, 0)
roots; 0, 3
hope this helps, God bless!
Answer:
Choice C.
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of opposite parallel sides.
There is a theorem that states that opposite sides of a parallelogram are congruent.
In this case, sides AB and CD are opposite sides.
Sides BC and AD are opposite sides.
Side CD is opposite side AB, so they are congruent.
Answer:
Choice C.
CD = AB; Opposite sides of parallelograms are congruent.
Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,
Tanzania [10]
Answer:
![y = -\frac{2}{5}\cdot x - 11](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B5%7D%5Ccdot%20x%20-%2011)
Step-by-step explanation:
First, the slope is determined by using the following expression:
![m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![m = \frac{-7-(-9)}{-10 - (-5)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-7-%28-9%29%7D%7B-10%20-%20%28-5%29%7D)
![m = -\frac{2}{5}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B2%7D%7B5%7D)
The y-intercept is found by using the line equation, the slope and one point:
![y = m \cdot x +b](https://tex.z-dn.net/?f=y%20%3D%20m%20%5Ccdot%20x%20%2Bb)
![b = y - m\cdot x](https://tex.z-dn.net/?f=b%20%3D%20y%20-%20m%5Ccdot%20x)
![b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)](https://tex.z-dn.net/?f=b%20%3D%20-7%20-%20%5Cleft%28-%5Cfrac%7B2%7D%7B5%7D%5Cright%29%5Ccdot%20%28-10%29)
![b = -11](https://tex.z-dn.net/?f=b%20%3D%20-11)
The equation of the line is:
![y = -\frac{2}{5}\cdot x - 11](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B5%7D%5Ccdot%20x%20-%2011)
Answer:
![\huge\boxed{\sf d = 141\ feet}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csf%20d%20%3D%20141%5C%20feet%7D)
Step-by-step explanation:
<u>Given Data:</u>
Circumference = C = 443 ft
<u>Required:</u>
Diameter = d = ?
<u>Formula:</u>
d = C / π
<u>Solution:</u>
d = 443 / 3.14
d = 141.0 feet
d = 141 feet
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>