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3 years ago

A system of linear equations is shown below.

Mathematics

1 answer:

Drupady [299]3 years ago

5 0

Answer: D.5 and 2

because (-3;5) is a solution to the system of equations

$\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\\left \{ {{p=5} \atop {q=2}} \right.$

Step-by-step explanation:

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10% of £26 is equal to x% of £52. Calculate the value of x.<br><br>

irina1246 [14]

Answer:

Step-by-step explanation:

26 × 10 ÷ 100 = 52 · x ÷ 100

260 = 52 · x

x = 5

6 0

4 years ago

One rectangle has a base of 12 inches and an altitude of 6inches, The other has a base of 10 inches and an altitude of 5 inches.

liubo4ka [24]

Sides of first rectangle are 12 inches and 6 inches

and sides of second rectangle are 10 inches and 5 inches

So to find the ration of sides we can do

Ratio of bases = 12/10 = 6/5

Ratio of altitudes = 6/5

Area of first rectangle = base * altitude = 12 *6 = 72 square inches

6 0

4 years ago

A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff

lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

$nCr = \frac{n!}{(n-r)!r!}$

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

$7C2 * 9C2$

$7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36$

7C2 * 9C2 = 21*36

= 756

The team can be formed in 756 different ways

5 0

3 years ago

Find two unit vectors orthogonal to a=⟨2,−2,−3⟩a=⟨2,−2,−3⟩ and b=⟨3,2,2⟩b=⟨3,2,2⟩ enter your answer so that the first non-zero c

Ronch [10]

We need the cross product of the two vectors.
a x b
=<2,-2,-3> x <3,2,2>
=
i j k
2 -2 -3
3 2 2
=<-4+6, -(4+9), 4+6>
=<2,-13,10>
The second vector is obtained by reversing the direction, namely <-2,13,-10>
Thus the two vectors are <2,-13,10> and <-2,13,-10>.

8 0

3 years ago

Help needed ASAP

pogonyaev

Answer:

D) (8,-22)

Step-by-step explanation:

I used my graphing calculator.

6 0

3 years ago

Read 2 more answers