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3 years ago

Anyone know the answer to this

Mathematics

1 answer:

Naya [18.7K]3 years ago

8 0

Answer:

$\left \{ {{x=2} \atop {y=2}} \right.$

Step-by-step explanation:

$\left \{ {{y=\frac{3}{2} x-1} \atop {y=-x+4}} \right. \\ \Leftrightarrow \left \{ {{-x+4=\frac{3}{2} x-1} \atop {y=-x+4}} \right. \\ \Leftrightarrow \left \{ {{\frac{5}{2}x=5} \atop {y=-x+4}} \right.\\ \Leftrightarrow \left \{ {{x=2} \atop {y=-2+4}} \right.\\ \Leftrightarrow \left \{ {{x=2} \atop {y=2}} \right.$

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Can someone help me asap?????

KATRIN_1 [288]

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3 years ago

Select all the points that are on the line through (0 5) and (2 8) A.(5 11) B.(5 10) C.(6 14) D.(30 50) E.(40 60)

mihalych1998 [28]

Answer:

Options C. and D. are correct.

Step-by-step explanation:

Let $(x_1,y_1)=(0,5),\,(x_2,y_2)=(2,8)$

Equation of a line is given by $y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

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Put $(x,y)=(5,11)$

$3(5)-2(11)+10=15-22+10=3\neq 0$

Put $(x,y)=(5,10)$

$3(5)-2(10)+10=15-20+10=5\neq 0$

Put $(x,y)=(6,14)$

$3(6)-2(14)+10=18-28+10=0$

Put $(x,y)=(30,50)$

$3(30)-2(50)+10=90-100+10=0$

Put $(x,y)=(40,60)$

$3(40)-2(60)+10=0\\120-120+10=10\neq 0$

So, points $(6,14),\,(30,50)$ satisfy the equation $3x-2y+10=0$

Therefore,

points $(6,14),\,(30,50)$ lie on the line through $(0,5)$ and $(2,8)$

Options C. and D. are correct.

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2 years ago

18. Let z = a + bi represent a general complex number. As noted in the lesson, the conjugate of z, abbreviated conj(z) or conj(a

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Question (18):

Answer: (A) All of the following

(I am using $z^*$ in place of conj(z)

$z*z^*=(a+ib)(a-ib)=a^2-(ib)^2= a^2+b^2=\mbox{modulus(z)}^2$

$z+z^*=a+ib+a-ib=2a\\z-z^*=a+ib-a+ib=2bi$

Question (19):

Answer: (B) -7

modulus of -7 is sqrt(49)=7

the other choices are all < 7

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3 years ago

The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds wi

zhenek [66]

Answer: it will take 7 seconds

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3 years ago

$1, 000 after 2 years at an interest rate of 3.0% is $ round up to the nearest cent

BaLLatris [955]

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3 years ago

Anyone know the answer to this​

Anyone know the answer to this