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3 years ago

HELP ME HELP HELP HELP ME

Mathematics

2 answers:

Elenna [48]3 years ago

5 0

Answer:

True ( A )

Step-by-step explanation:

4 ( 5 ) - 2 = 2 ( 5 ) + 8

20 - 2 = 10 + 8

18 = 18

This is a correct statement because 18 does equal 18

Schach [20]3 years ago

5 0

True

First add 2 to both sides

4x=2x+10

Then subtract 2x from both sides

2x=10

Now divide 2 from both sides

x=5

Therefore it’s true

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Will upvoate all

nalin [4]

I think the answer is going to be a

7 0

3 years ago

X2 - 6x + 12 and y = 2x - 4, algebraically are

olga_2 [115]

The solution is (4, 4)

Solution:

Given system of equations are:

$y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2$

Substitute eqn 2 in eqn 1

$x^2 - 6x + 12 = 2x - 4$

Make the right side of equation 0

$x^2 - 6x + 12 - 2x + 4 = 0\\\\x^2 -8x + 16 = 0$

Solve by quadratic equation

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4$

Substitute x = 4 in eqn 2

y = 2(4) - 4

y = 8 - 4

y = 4

Thus solution is (4, 4)

5 0

2 years ago

Suppose a river flows south to north at a velocity of 1 m/s, and a motorboat traverses the river from east to west at a speed of

irina1246 [14]

Answer: $24^{\circ}$

Step-by-step explanation:

Given

River is flowing from south to North with a velocity of $u=1\ m/s$

Motor boat traverses the river from east to west at a speed of $v=2.5\ m/s$

South component of boat velocity must compensate the river velocity in order to travel in west direction.

$\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}$