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dimaraw [331]
2 years ago
15

Step by step explanation of y-10=9(x+8), written in standard form

Mathematics
1 answer:
aleksandrvk [35]2 years ago
5 0

Answer:

y-10=9x+72

y-10-72=9x

y-82=9x

y=9x+82

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Solve for x. x^2−3x−70=0<br><br> x^2 is x to the second power
timurjin [86]
X² <span>− 3x − 70=0
</span>x² + 7x - 10x − 70=0
x(x+7) - 10(x+7) = 0
(x+7)(x-10) = 0

x + 7 = 0   or   x - 10 = 0
x = -7              x = 10

Answer: x=-7,  x=10 
3 0
3 years ago
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I need help for brainliest
devlian [24]

Answer:

<h2><u><em>46 cm²</em></u></h2>

Step-by-step explanation

the figure is composed of a square with an isosceles right triangle inside, we find the area of ​​the square and we take away the area of ​​the triangle.

Triangle area = lxl, right-angled triangle area side by side divided by two.

  • square area

8 * 8 = 64cm²

  • Triangle area

6 * 6 : 2 = 18 cm²

Area of the shaded region

64 - 18 = 46 cm²

7 0
2 years ago
Help appreciated on question in image!<br> Thanks:)
Verdich [7]

Answer:

x=-1,\:x=-7,\:x=i,\:x=-i

Step-by-step explanation:

Considering the equation

x^4+8x^3+8x^2+8x+7=0

Solving

x^4+8x^3+8x^2+8x+7

\mathrm{Factor\:}x^4+8x^3+8x^2+8x+7:\quad \left(x+1\right)\left(x+7\right)\left(x^2+1\right)

As

\mathrm{Use\:the\:rational\:root\:theorem}

a_0=7,\:\quad a_n=1

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:7,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:7}{1}

-\frac{1}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+1

=\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]

Solving

\frac{x^4+8x^3+8x^2+8x+7}{x+1}

=x^3+7x^2+x+7

Putting \frac{x^4+8x^3+8x^2+8x+7}{x+1} =  x^3+7x^2+x+7 in equation [A]

So,

\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]

=\left(x+1\right)x^3+7x^2+x+7

As

x^3+7x^2+x+7=\left(x+7\right)\left(x^2+1\right)

So,

Equation [A] becomes

=\left(x+1\right)\left(x+7\right)\left(x^2+1\right)

So,  the polynomial equation becomes

\left(x+1\right)\left(x+7\right)\left(x^2+1\right)=0

\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\mathrm{Solve\:}\:x+1=0:\quad x=-1

\mathrm{Solve\:}\:x+7=0:\quad x=-7

\mathrm{Solve\:}\:x^2+1=0:\quad x=i,\:x=-i

\mathrm{The\:solutions\:are}

x=-1,\:x=-7,\:x=i,\:x=-i

Keywords: polynomial equation

Learn polynomial equation from brainly.com/question/12240569

#learnwithBrainly

5 0
3 years ago
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What is the answer for 2(a+b)=
Rainbow [258]
<h3>It is equivalent to 2a+2b</h3>

We use the distributive property.

Multiply the outer term 2 by each term inside ('a' and b)

2 times a = 2a

2 times b = 2b

We add those results to get 2a+2b. We cannot combine these terms as they are not like terms.

8 0
3 years ago
Find the perimeter and area of this circle plz. due today.
Alik [6]
If the diameter is 30 ft then the area of the circle is 706.5 you can approximate it if you want and you will have 707.
5 0
3 years ago
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