Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.
9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b
so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
Given the coordinates of the three vertices of a triangle ABC,
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
<span>so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
so the coordinates are (-2/3, 4/3)</span>
Answer:
i think it a or b but i might be wrong
Step-by-step explanation:
sry if it is wrong tho
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
- The correct option for the toy chest she should purchase is; <u>Only toy chest A will provide the necessary storage space</u>.
Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; <u>Only toy chest A will provide the necessary storage space</u>
<em>Possible question options obtained from a similar question found online are;</em>
<em>Either toy chest have the storage space needed</em>
<em>Neither has the storage space needed</em>
<em>Only toy chest A</em>
<em>Only toy chest B</em>
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Learn more about calculating volumes of various shapes here:
brainly.com/question/3789826
Height of the tower = 101.9 m
Solution:
Given data:
Angle θ = 27°
Adjacent side = 200 m
Opposite side = Height
Let height be taken as h.
The given image shows it is a right triangle.
Using basic trigonometric ratio formulas,


The value of tan 27° = 0.5095

Do cross multiplication, we get
0.5095 × 200 = h
101.9 = h
Height of the tower = 101.9 m