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3 years ago

20 POINT QUESTION!! Complete the equation of the linear function. y = x +

Mathematics

1 answer:

Viefleur [7K]3 years ago

8 0

$A=(0,1); B=( \frac{1}{2}, 0) \\ 
y=ax+b
 
\left \{ {{1=0a+b} \atop {0= \frac{1}{2}+b }} \right. \\ 
 \left \{ {{1=b} \atop { \frac{1}{2}a=-b}} \right. \\ 
 \left \{ {{b=1} \atop {a=-2}} \right. 

y=-2x+1$

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Find the side lengths of the triangle in this picture.

ozzi

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

$3\cdot x + 14$

Long leg

$3\cdot x + 13$

Short leg

$x$

By the Pythagoric Theorem, we have the following expression:

$(3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}$ (1)

$9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169$

$9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169$

$x^{2} -6\cdot x -27 = 0$

$(x-9)\cdot (x+3) = 0$

As length is a positive variable by nature, then the only possible solution is $x = 9$ . Lastly, the side lengths of the right triangle are:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

8 0

2 years ago

A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 21 times.

meriva

<u>Answer:</u>

42%

<u>Step-by-step explanation:</u>

We know that the number of times red side is faced up = 21; and

the total number of times colored chip is thrown = 50

Frequency of red side = (No of times red side is faced up / Total number of times colored chip is thrown) * 100%

Frequency of red side = (21 / 50) * 100% = 0.42 * 100 = 42%

Therefore, the relative frequency of the chip landing with the red side facing up is 42%.

6 0

2 years ago

5/4 in a decimal pls help

balu736 [363]

Just divide 5/4 = 1.25. Thank you.

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3 years ago

If x-2y=10 and x≠0, what is the value of 2x/y+5

VladimirAG [237]

Answer: 4

Step-by-step explanation:

x - 2y =10

x = 10 + 2y

$\frac{2x)}{y + 5}$

$\frac{2(10+2y)}{y+5}$

$\frac{20+4y}{y+5}$

$\frac{4(5+y)}{y+5}$ ... cancel like terms (y + 5)

= 4

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2 years ago

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Rama09 [41]

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3 years ago