Answer:
Step-by-step explanation:
Given that L is a line parametrized by
The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z
i.e. (2,3,-1)
So equation of the plane would be of the form
Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.
So equation is
b) Substitute general point of L in the plane to find the intersecting point
i.e. same point given.
Answer:
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-intercept
In this problem we have
substitute and solve for b
The equation of the line is equal to
Notice that the triangle is a right isosceles triangle, because the given angle measures are 45° and 90°, so the third angle measure is 180°-90°-45°=45°.
The length of the hypotenuse is 24 ft. Let the side lengths of the 2 equal sides be
a.
By the Pythagorean theorem we have:
thus
divide both sides by 2, and take the square root:
The area of the triangle is given by the formula:
(1/2)*side*side, so the area of the triangle is :
(1/2)*
*
=144 (square units)
Answer: 144 square units
Well for question a.) the answer is 3.5 we find this by taking 6-2.5=3.5 th rule is to add 3.5
Answer:
4.5 cups, 12 bags
Step-by-step explanation:
Each batch makes 6 bags, so if she makes 18 bags she needs 3 times as many cups of almonds, 1.5 x 3 = 4.5
If she uses 6 cups of granola she is using twice as much so she could make 12 bags.
