The slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
The given coordinate point is (-1, 5) and slope=-4.
<h3>What is the slope intercept form?</h3>
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Substitute (x, y)=(-1, 5) and m=-4 in standard form of the slope intercept form, we get
5=-4×(-1)+c
⇒ c=5-4
⇒ c=1
Substitute m=-4 and c=1 in y=mx+c, we get
y=-4x+1
Therefore, the slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
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Answer:
Step-by-step explanation:
At a Baseball Match.
35% of spectators are New York Yankees fan
The rest are Boston Red Sox fan = 100 - 35% = 65%
30% of fans in both teams are females.
30% of 35% of spectators are New York Yankees fan = 0.105 females
30% of 65% of spectators are Boston Red Sox fan = 0.195 females
The number of males in New York Yankees fan = 1 - 0.105 females
= 0.895 males
The number of males in Boston Red Sox fan = 1 - 0.195 females
= 0.805 males
Answer:
These reflected points represent the inverse function
Step-by-step explanation:
This is just one of the rules that are true.
Answer:
the third one
Step-by-step explanation:
Answer:
58.1 cm
Step-by-step explanation:
The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.
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<h3>Pythagorean theorem</h3>
The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...
c² = a² +b²
<h3>application</h3>
For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.
30² = 7.5 +b²
b² = 900 -56.25 = 843.75
b = √843.75 ≈ 29.0473
The length of each support rod is twice this value, so ...
rod length = 2b = 2(29.0473) = 58.0947
Each support rod is about 58.1 cm long.
