Answer:
![\large\boxed{Q1.\ \text{2 times greater}}\\\\\boxed{Q2.\ J. 3}\\\\\boxed{Q3.\ B. -\dfrac{4}{5}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BQ1.%5C%20%5Ctext%7B2%20times%20greater%7D%7D%5C%5C%5C%5C%5Cboxed%7BQ2.%5C%20J.%203%7D%5C%5C%5C%5C%5Cboxed%7BQ3.%5C%20B.%20-%5Cdfrac%7B4%7D%7B5%7D%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Q1.
We have the equation of a line <em>p </em>in the standard form
![4x-3y=7](https://tex.z-dn.net/?f=4x-3y%3D7)
Convert to the slope-intercept form:
<em>subtract 3x from both sides</em>
<em>divide both sides by (-3)</em>
![y=\dfrac{4}{3}x-\dfrac{7}{3}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%7D%7B3%7Dx-%5Cdfrac%7B7%7D%7B3%7D)
The slope ![m_1=\dfrac{4}{3}](https://tex.z-dn.net/?f=m_1%3D%5Cdfrac%7B4%7D%7B3%7D)
From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:
![m_2=\dfrac{5-3}{7-4}=\dfrac{2}{3}](https://tex.z-dn.net/?f=m_2%3D%5Cdfrac%7B5-3%7D%7B7-4%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
Divide the slope of <em>p</em> by the slope of <em>q</em>:
![\dfrac{4}{3}:\dfrac{2}{3}=\dfrac{4}{3}\cdot\dfrac{3}{2}=2](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B3%7D%3A%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7B3%7D%5Ccdot%5Cdfrac%7B3%7D%7B2%7D%3D2)
Q2.
Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:
![y=3x+2\to m=3](https://tex.z-dn.net/?f=y%3D3x%2B2%5Cto%20m%3D3)
Q3.
Parallel line have the same slope.
Calculate the slope from given points (-11, 5) and (-6, 1):
![y=\dfrac{1-5}{-6-(-11)}=\dfrac{-4}{-6+11}=\dfrac{-4}{5}=-\dfrac{4}{5}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1-5%7D%7B-6-%28-11%29%7D%3D%5Cdfrac%7B-4%7D%7B-6%2B11%7D%3D%5Cdfrac%7B-4%7D%7B5%7D%3D-%5Cdfrac%7B4%7D%7B5%7D)
Answer:
B. C. F.
Smaller Side + Other smaller side > Bigger side
Hope this helps
Step-by-step explanation:
Answer:
Error: 1 −4.5 + 4.2 + 5.6 + (−7.3) Additive inverse
Step-by-step explanation:
Correction: no need to subtract from one
![.](https://tex.z-dn.net/?f=.)
Surface area is like how much wrappin paper to wrap a present
anything to do with how much it can carry o it's volume aka capacity is not surface area
A is wrong, that's distance
B is correct
C, oval is not surface area, only distance
D is volume, how much concree
answe ri B
Answer:
Yes
Step-by-step explanation:
3, 4, 5 is a pythagorean triplet, meaning they satisfy the Pythagorean theorem.