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3 years ago

Need help with geometry

Mathematics

1 answer:

GREYUIT [131]3 years ago

5 0

A)40
B)80
C)80
That should be correct

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Please please please help me with this answer thank you so much

saul85 [17]

Mercury=450
Jupiter= <span>58.6956521739

152 on earth because you just times it.</span>

5 0

4 years ago

Co-ordinate Geometry

saul85 [17]

Answer:

The value of a = 14

Step-by-step explanation:

Given

(x₁, y₁) = (2, 4)

(x₂, y₂) = (6, a)

(x₃, y₃) = (-1, 1)

A = 9 sq.units

Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:

$A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}$

substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula

$A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}$

$9=\frac{\left|2\left(a-1\right)+6\left(1-4\right)+-1\left(4-a\right)\right|}{2}$

Multiply both sides by 2

$\frac{2\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|}{2}=9\cdot \:2$

simplify

$\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|=18$

As the area is always positive.

$2\left(a-1\right)+6\left(1-4\right)-1\cdot \left(4-a\right)=18$

$2\left(a-1\right)-18-\left(4-a\right)=18$

Add 18 to both sides

$2\left(a-1\right)-18-\left(4-a\right)+18=18+18$

simplify

$2\left(a-1\right)-\left(4-a\right)=36$

$3a-6=36$

$3a=42$

Divide both sides by 3

$\frac{3a}{3}=\frac{42}{3}$

$a=14$

Thus, the value of a = 14

7 0

3 years ago

How many six digit number can be made from the digits 1, 1, 1, 2, 2, 3?

yulyashka [42]

The permutation of all digits is $6!$ , but we don't differentiate the same digits, so we divide it by the number of permutations of 1's ( $3!$ ) and 2's ( $2!$ )

$\dfrac{6!}{3!2!}=\dfrac{4\cdot5\cdot6}{2}=60$

3 0

3 years ago

Find the 65th term of a arithmetic sequence -10,-8,-6,-4......

Masja [62]

-69 is the answer i think

8 0

3 years ago

Write an equation of a line with slope 1/2 and crossing point (2,-3)

Yuliya22 [10]

Answer:

y= 1/2x +4

Step-by-step explanation:

plot a point on a graph at (2, -3) then insert ur slope (rise over run) and in this case that’s 1 up 2 to the right

7 0

3 years ago