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alexandr402 [8]

3 years ago

5

Solve 3[-x + (2 x + 1)] = x - 1. x = 2

1 answer:

Gekata [30.6K]3 years ago

7 0

Answer:

x = -2

Step-by-step explanation:

$3[- x + (2x + 1)] = x - 1$

$= > 3[ - x + 2x + 1 ] = x - 1$

$= > 3[x + 1] = x - 1$

$= > 3x + 3 = x - 1$

$= > 3x - x = - 1 - 3$

$= > 2x = - 4$

$= > x = \frac{ - 4}{2} = - 2$

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Anyone know how to solve for x and y on this problem?

snow_tiger [21]

<h3><u>Answer:</u></h3>

$\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ 6\ and\ y \ is\ (-21) .}}}$

<h3><u>Step-by-step explanation:</u></h3>

In the Question , its given that ∆ART $\cong$ ∆ DFI . And we need to find the values of x and y . So we know that ,

If two triangles are congruent then their Corresponding angles and sides are equal.

Hence here in ∆ ART & ∆ DFI :-

AT = DI ( cpctc)
AR = DF ( cpctc)

$\bf\implies AT = DI \\\\\bf\implies 6x + 31 = 67 \\\\\bf\implies 6x = 67 - 31 \\\\\bf\implies 6x = 36 \\\\\bf\implies x =\dfrac{36}{6}\\\\\bf\implies \boxed{\red{\bf x = 6}}$

Hence the value of x is 6 .

$\rule{200}2$

$\bf\implies AR = DF \\\\\bf\implies -4y+19 = 103\\\\\bf\implies -4y = 103-19 \\\\\bf\implies -4y = 84 \\\\\bf\implies y =\dfrac{84}{-4}\\\\\bf\implies \boxed{\red{\bf y = -21}}$

<h3><u>Hence </u><u>the</u><u> value</u><u> of</u><u> x</u><u> is</u><u> </u><u>6</u><u> </u><u>and </u><u>y</u><u> </u><u>is</u><u> </u><u>(</u><u>-</u><u>2</u><u>1</u><u>)</u><u> </u><u>.</u></h3>

4 0

3 years ago

Find the equation for the line of best fit using the two points that are close to the line of best fit (2,70) and (4.5, 90)

kari74 [83]

Given:

Two points that are close to the line of best fit are (2,70) and (4.5, 90).

To find:

Th equation of best fit line using the given two points.

Solution:

We know that, if a line passes through the two points, then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Two points (2,70) and (4.5, 90) are close to the best fit line.

Consider the two points (2,70) and (4.5, 90). So, the equation of line is

$y-70=\dfrac{90-70}{4.5-2}(x-2)$

$y-70=\dfrac{20}{2.5}(x-2)$

$y-70=8(x-2)$

$y-70=8x-16$

Adding 70 on both sides, we get

$y=8x-16+70$

$y=8x+54$

Therefore, the equation of best fit line is $y=8x+54$ .

3 0

3 years ago

Andrew bought a shirt and a pair of pants that cost $3675. The shirt costs double the pants. How much do they each cost?

vampirchik [111]

Answer: $7350

Step-by-step explanation:

$3675 x 2 = $7350

5 0

3 years ago

Read 2 more answers

The pet store had 2 puppies to feed using 1/3 of a bag of puppy chow. If each puppy needs an equal amount, how much food should

Valentin [98]

Answer:

The answer would be 1/6

Step-by-step explanation:

That is because 1/3 divided by 2 equals 6. Hope this helps.

8 0

3 years ago

Which of the following is equivalent to the expression below?

AlekseyPX

Answer:

h

Step-by-step explanation: j

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3 years ago