$2a -3b +10 =0\\\\10a+ 6b -8 =0\\\\\text{Using cross multiplication method}\\\\\\ \dfrac a{(-3)(-8) - 6(10)} = \dfrac b{10(10) - 2(-8)} = \dfrac 1{ 2(6) - (-3)(10)}\\\\\\\implies \dfrac a{24-60} = \dfrac b{100+16} = \dfrac 1{12+30}\\\\\\\\\implies -\dfrac {a}{36} = \dfrac b{116} = \dfrac 1{42}\\\\\\\text{Hence}\\\\a = - \dfrac{36}{42} = -\dfrac 67 \\\\\\ b= \dfrac{116}{42} = \dfrac{58}{21}$

3 0

3 years ago

A vessel sails 32 miles S 45 E. How far south has it sailed?

dem82 [27]

23 miles

hope this helps :)

3 0

4 years ago

Read 2 more answers

Find the distance between the points ( 4, 7) and (-1,2

mihalych1998 [28]

Answer:

7.07 (3 significant figures)

Step-by-step explanation:

the distance between the two points on the x axis is 5 and the distance between the two point son the y axis is 5. thus by using pythagerous theorem you are able to get the hypotenuse which is the distance between the two points which in this case is 7.07 when rounded to 3 significant figures. not sure if im correct but i hope it helps

8 0

3 years ago

What is the product of 3 square root 7 and 17 square root 14 in simplest radical form

Aleks [24]

$3 \sqrt{7} \times 17 \sqrt{14}$

This is the problem that we need to solve. The best way to get about it is to first:

Multiply the constant numbers (3 and 17). 3×17 is 51.
Next multiply the radicals.
$\sqrt{7} \times \sqrt{14} = \sqrt{7 \times 14} = \sqrt{108}$
Simplify the squareroot of 108 since it is 49 times 2. It would be equal to 7 squareroots of 2.
Our final answer would be:
$51 \times 7\sqrt{2} = 357 \sqrt{2}$
51 x 7 is 357, so the answer above is right.

The skills needed are multiplication, mulitplication of radicals, and simplifying radicals, so if you want to review anything use these as reference.

Hope you understood and have a nice day!!

3 0

3 years ago