Marjorie got a total 239 points on three tests. the combined scores on the scores on the second two tests were 59 more than the score on the third test. the score on the second test was 25 points more than the score on the third test. write a matrix a matrix equation for this situation.

Option a is the correct answer.

Step-by-step explanation:

Let x,y and z represent the marks scored in first,second and third tests respectively.

Total score is 239, then:

x+y+z = 239 -------1

Combined scores of first and second tests is 59 more than that of third test,then:

x+y = 59+z

x+y-z = 59  ---------2

The score of second test is 25 more than that of third test, then:

y = 25+z

0x+y-z = 25 --------3

The matrix equation for this situation is:

.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb