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Talja [164]
3 years ago
14

Seventeen plus a number is -3

Mathematics
2 answers:
barxatty [35]3 years ago
8 0

Answer:

-20

Step-by-step explanation:

absolute value of -3 is 3. 17 plus 3 is 20, and make it a negative

check: 17 + - 20 = - 3

Marizza181 [45]3 years ago
3 0
17+(-20)=(-3)

You find the difference between 20 and 17 which is 3 and because 20 is larger, we use it’s sign which is negative
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Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(2, −5, 6), C(4, −2, −1), D(3, 4, −4
almond37 [142]

Answer:

Area = 71.3 sq unit

Step-by-step explanation:

a) We will use properties of parallelogram to verify the given vertices.

Property: Have a pair of parallel opposite sides

Hence, vectors AB AD BD BC CD AC. A pair should be parallel:

vectors

AB = A - B = (1, 1 , 3) - ( 2 , -5 , 6 ) = (-1 , 6 , -3)

AD = A - D = (1, 1 , 3) - (3, 4 , -4) = (-2 , -3 , 7)

BC = B - C = (2 , -5 , 6) - (4, -2 , -1) = (-2 ,-3 , 7)

CD = C - D = (4, -2 , -1) - (3, 4 , -4) = (1 , -6 , 3)

Hence we can see  that AB //CD and AD // BC as their unit vector co-efficents are identical/scalar multiple of each other.

b)

Equation of line AB = (1,1,3) + t*(-1 , 6 , -3 )

Point E = (1-t , 1+6t , 3 -3t) ... denotes an position of point E on line AB.

Choose a point on line CD, lets suppose C = ( 4 , -2 , -1 )

Vector EC = ( 1-t , 1+6t , 3-3t ) - (4 , -2 , -1 ) = (-3 -t , 3 +6t , 4 -3t)

For EC to be perpendicular to AB then dot product of AB . EC = 0

Hence,

EC . AB = -1 * (-3-t) -2*(3+6t) -3*(4-3t) = 0

3 + t -6 -12t -12+9t = 0

-2t-3 = 0

t = -3/2

Vector EC = (-3 -t , 3 +6t , 4 -3t) = (-1.5 , -6 , 8.5)

Area = magnitude (AB) * magnitude (EC)

Area = sqrt ((-1)^2 + 6^2 + (-3)^2) * sqrt ((-1.5)^2 + 6^2 + (8.5)^2)

Area = sqrt (46) * sqrt (442) / 2

Area = 71.3 unit^2

6 0
3 years ago
20 ft<br> 12 ft<br> 7 ft<br> 8 ft<br> 8 1t<br> 34 ft<br> What is the area?
Arlecino [84]
To find area you multiply the height and width so which ever are the height and width out of those numbers you multiply them together
3 0
3 years ago
-(3-10y) simplify expression pls
Diano4ka-milaya [45]

Answer:

-3+10y

Step-by-step explanation:

Distribute the Negative.

6 0
3 years ago
Read 2 more answers
In the equation 8x - 1=3x+4 the variable x represents the same value. Which value of x is the solution of the equation x = 0 1 2
OleMash [197]

the AnSwEr is

12 because 8x - 1=3x+4 the variable x represents the same value and x= 0

7 0
3 years ago
Find angle m and angle n
san4es73 [151]

Answer:

m∠M = 79°

m∠N = 66°

Step-by-step explanation:

∠MPN is supplementary to ∠MPQ, so m∠MPN = 35

The sum of the measures of a triangle is 180.

So, m∠M + m∠N + m∠MPN = 180

5y + 4 + 4y + 6 + 35 = 180

9y + 45 = 180

9y = 135

y = 15

m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79

m∠N = 4y + 6 = 4(15) + 6 = 66

Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.

That means 5y + 4 + 4y + 6 = 145

                      9y + 10 = 145

                      9y = 135

                         y = 15

From knowing the value of y you can now find the measures of angles M and N

5 0
2 years ago
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