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Vadim26 [7]
3 years ago
8

In the diagram, points E, A, and B are collinear and the areas of square ABCD and right triangle EAD are equal. What are the coo

rdinates of A?
A. (-7.5, 3)

B. (-8, 4)

C. (-9, 6)

D. (-8.5, 5)

E. (-6, 5)

Mathematics
2 answers:
forsale [732]3 years ago
8 0

Answer:

(-8,4)

Step-by-step explanation:

Given in the picture is a right triangle and a square sharing one commonside

Area of triangle = area of square

ie 1/2 bs = s^2 (is s is one side of square)

i.e. b = 2s where b = EA

In other words A divides line EB in the ratio 2:1

Using section formula

Coordinates of A=

(\frac{2(-7)+1(-10)}{3} ,\frac{2(2)+1(-8)}{3})\\=(-8, 4)

Zielflug [23.3K]3 years ago
6 0

Answer:

(B) -8,4

Step-by-step explanation:

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Someone help please! Determine the intercept of the line that passes through the following points ​
storchak [24]

Answer:

x: (-5.0)

y: (0, -17.5)

Step-by-step explanation:

The x-intercept of the line is when y=0. In the table is the point (-5,0). This is the x-intercept.

To find the y-intercept, find when x=0. Write an equation for the table in y=mx + b. Find the slope between two points first.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-0}{-7--5} =\frac{7}{-7+5}=-\frac{7}{2} = -3.5

The slope is -3.5. So the equation is

y - 7 = -3.5(x--7)

y - 7 = -3.5 (x+7)

y - 7 = -3.5x - 24.5

y = 3.5x - 17.5

Since it is in y=mx+b, b= -17.5 and this is the y-intercept.

5 0
3 years ago
For a circle of raduis 6feet, find the arc length of a central angle of 6
murzikaleks [220]
Length of a circumference=2πr
r=radius=6 feet.
lengt of this circumference=2π6 feet=12π feet.

1 circumference=360º; then:

360º-------------------12π feet
6º----------------------    x

360º * x=6º * 12π feet
x=(6º * 12π feet) / 360º=π/30  feet (≈0,105 feet).

Solution: π/30 feet
4 0
3 years ago
What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?
irina [24]

Answer:

The volume of the cylinder is 367.6 M^3

Step-by-step explanation:

Mathematically, we have the volume of a cylinder calculated as follows;

V = pi * r^2 * h

r is the base radius given as 3 m

h is the height given as 13 m

So, we have the volume as;

V = 22/7 * 3^2 * 13 = 367.6 M^3

7 0
3 years ago
Read 2 more answers
Help please thank you
avanturin [10]

Answer:

150*2/3=100

take school size then multiply it by the ratio to get the amount of student who prefer such toothpaste.

Step-by-step explanation:

4 0
2 years ago
Can u please help me graph this linear function!
yan [13]

Answer:

X         X-3          Y           (x,y)

3          3-3          0          (3,0)

1           1-3           -2         (1,-2)

-2        -2-3         -5        (-2, -5)

6 0
2 years ago
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