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Taya2010 [7]
3 years ago
6

Ming drew a triangle. The sum of the angles of the triangle is 180º.

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer: The second matrix

If we want to write a proper matrix to represent the given system of equations, we have to arrange it in order:

a+b+c=180

2a-b+0c=0

4a+0b-c=-5

After this, we can write the matrix with the coefficients of each equation:

\left[\begin{array}{ccc|c}1&1&1&180\\2&-1&0&0\\4&0&-1&-5\end{array}\right]

Being this, the matrix that represents the measure of each angle in Ming's triangle

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Wewaii [24]

Answer:

kathryn= 6 years old

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Step-by-step explanation:

kathryn=x

mother= x²+2

x²+2 +x=44

x=6

kathryn= 6 years old

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3 years ago
Consider the equation below.
Korvikt [17]

Answer:

Equation in square form:

y=3(x+5)^2-4

Extreme value:

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Step-by-step explanation:

We are given

y=3x^2+30x+71

we can complete square

y=3(x^2+10x)+71

we can use formula

a^2+2ab+b^2=(a+b)^2

y=3(x^2+2\times x\times 5)+71

now, we can add and subtract 5^2

y=3(x^2+2\times x\times 5+5^2-5^2)+71

y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71

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So, we get equation as

y=3(x+5)^2-4

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

y=a(x-h)^2+k

where

vertex=(h,k)

now, we can compare and find h and k

y=3(x+5)^2-4

we get

h=-5

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so, extreme value of this equation is

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6 0
3 years ago
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Nadusha1986 [10]

Answer:

  • x = 40°

Step-by-step explanation:

Straight angle is equal to 180°

Angle x, 60° and 80° form a straight angle.

<u>Then we have following equation to solve for x:</u>

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6 0
3 years ago
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the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years​
Yuliya22 [10]

Answer:  125 g

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

A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k

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The ans is : One dimensional
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