The equation for the line in point-slope form that passes through (15, 5) and is perpendicular to 
is 
<em><u>Recall:</u></em>
The equation of the line can be written in point-slope form (y - b = m(x - a)) and also in slope-intercept form (y = mx + b).
<em><u>Given</u></em>:
- the point the line passes through: (15, 5)
- the line it is perpendicular to: y = -5x - 4
<u><em>Find the </em></u><u><em>slope (m):</em></u>
The slope value will be the negative reciprocal of the slope value of y = -5x - 4.
- The slope of y = -5x - 4 is -5.
- Therefore, the slope of the line perpendicular to y = -5x - 4 will be the negative reciprocal of -5 which is: 1/2.
<em>Write the </em><em>equation </em><em>in </em><em>point-slope</em><em> form by substituting m = 1/2 and (a, b) = (15, 5) into </em><em>y - b = m(x - a)</em>
<em />
Therefore, the equation for the line that passes through (15, 5) and is perpendicular to is
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brainly.com/question/11624671
A. Abiotic factors are physical changes while biotic factors are directly related to living organisms.
Answer:
Answer: A. 138 times
How?
During that time period there were 23 days so 23 multiplied by the amount of times played per day (6)
You get the answer 138
Step-by-step explanation:
Answer:
27 SUVs
Step-by-step explanation:
Let number of ordinary cars be x and SUVs be y
We can write 2 equations and use substitution to solve for the number of SUVs.
<u>"The number of ordinary cars is larger than the number of sport utility vehicles by 59.3%"- </u>
This means that 1.593 times more is ordinary cars (x) than SUVs (y), so we can write:
x = 1.593y
<u>"The difference between the number of cars and the number of SUVs is 16" - </u>
Since we know ordinary cars are "more", we can say x - y = 16
<em>We can now plug in 1.593 y into x of the 2nd equation and solve for y:</em>
<em>x - y = 16</em>
<em>1.593y - y = 16</em>
<em>0.593y = 16</em>
<em>y = 27 (rounded)</em>
<em />
<em>Hence, there are 27 SUVs</em>
Answer:
18 Quarts
Step-by-step explanation:
there are 4 quarts per gallon
I multiplied 4 x 5 = 20 then subtracted the 2 quarts left which comes out to 18 quarts used.
