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kipiarov [429]
3 years ago
11

Helppppp pls simple algebra hella points show your work

Mathematics
2 answers:
trapecia [35]3 years ago
8 0

Answer:

\Huge \boxed{y=-7 \ \ \mathrm{or} \ \ y=-3}

\rule[225]{225}{2}

Step-by-step explanation:

(y-3)^2 =2y^2 +4y+30

Expanding brackets.

y^2-6y+9=2y^2 +4y+30

Subtracting (y² - 6y + 9) from both sides, then switching sides.

y^2 +10y+21=0

Factoring left side.

(y+3)(y+7)=0

Setting factors equal to 0.

\Longrightarrow y+3= 0 \\\\\\ \Longrightarrow y=-3

\Longrightarrow y+7=0 \\\\\\ \Longrightarrow y=-7

\rule[225]{225}{2}

Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

y = -7,   y = -3

Step-by-step explanation:

(y - 3)² = 2y² + 4y + 30

expand:

y² - 6y + 9 = 2y² + 4y + 30

subtract 30 from both sides

y² - 6y + 9 - 30= 2y² + 4y + 30 - 30

simplify:

y² - 6y - 21 = 2y² + 4y

subtract 4y from both sides

y² - 6y - 21 -4y = 2y² + 4y - 4y

simplify:

y² - 10y - 21 = 2y²

subtract 2y² from both sides

y² - 10y - 21 - 2y² = 2y² - 2y²

simplify:

-y² - 10y - 21 = 0

solve y by quadratic equation

         - (-10) ± √ (-10² - 4(-1)(21)

y = --------------------------------------

               2(-1)

y = -7,   y = -3

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This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
If the temperature in the Arctic is -13C, but it then rises by 20C, what is the new temperature?
miv72 [106K]

Answer:7

Step-by-step explanation:

all you have to do is subtract 20-13

4 0
2 years ago
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8_murik_8 [283]

Answer:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.


Step-by-step explanation:


4 0
3 years ago
Una botella tenía agua hasta de su capacidad. Luego, se agregó litro de agua y la botella quedó llena. Si x representa la capaci
Elena L [17]

Responder:

3 / 4x + 1/2 = x

Explicación paso a paso:

Dado que:

Capacidad total = x

Volumen inicial = cierta fracción * capacidad total

Volumen adicional agregado para llenar = 1/2

Por eso,

Inicial. Volumen + volumen adicional = volumen total

De las opciones:

Un volumen inicial de 3 / 4x

Volumen adicional de 1/2

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Sumar todo hace que la ecuación:

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x - 3 / 4x = 1/2

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7 0
2 years ago
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nignag [31]

Answer:

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Step-by-step explanation:

Distribute:

=(5)(x)+(5)(3)+−5

=5x+15+−5

Combine Like Terms:

=5x+15+−5

=(5x)+(15+−5)

=5x+10

8 0
3 years ago
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