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garik1379 [7]
3 years ago
14

Solve the system using substitution x+5y=0 3y+2x=-21

Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0

Answer:

\left \{ {{x = -15} \atop {y=3}} \right.

Step-by-step explanation:

\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right.  \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right.    \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right.  \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\ \left \{ {{x = -5y } \atop {-7y = -21}} \right.  \left \{ {{x = -5y} \atop {y= 3 }} \right.  \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.

pochemuha3 years ago
4 0
Ok done. Thank to me :>

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Find the area of the kite. Hint: The brackets indicates the full length of a segment
xxMikexx [17]

Answer: 54 ft²

Step-by-step explanation:

Area of a kite is calculated by the formula:

= (Length * Height) / 2

Length = 6 + 6 = 12 ft

Height = 9 ft

Area = (12 * 9) / 2

= 108 / 2

= 54 ft²

3 0
3 years ago
jimmy and kimmy went skiing.jimmy fell 3 times and they both fell a total of 10 times.how many times did kimmy fall?
Harrizon [31]

Answer: Umm 7 times

Step-by-step explanation:

10-3=7

8 0
3 years ago
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The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.
Ksju [112]

Use the formula (a+b)^2=a^2+2ab+b^2 for quadratic trinomial. Then you can form from a quadratic trinomial perfect square:

x^2 + 8x + 16=x^2+2\cdot x\cdot 4+4^2=(x+4)^2.

From the last given step you have that

f(x) = 5(x^2 + 8x + 16)-5\cdot 16.

Since 5·16=80, you can substitute the previous expression for perfect square into function expression and get:

f(x)=5(x+4)^2-80.

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4 0
4 years ago
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Help me please.......
Tomtit [17]

Answer:

29.4 %

Step-by-step explanation:

The area of the sector is directly proportional to the angle subtending the arc.

Area of sector/area of circle = 106°/360° = 0.294

The area of the sector is 29.4 % the area of the circle, so

A point chosen at random will be in the shaded region 29.4 % of the time.

6 0
3 years ago
Find the area of the image below:
malfutka [58]

Answer:

Option D. 27.7\ units^{2}

Step-by-step explanation:

we know that

The area of the image is equal to the area of the complete square minus the area of triangle 1, minus the area of triangle 2, minus the area of triangle 3, minus the area of trapezoid 4

see the attached figure to better understand the problem

<em>Find the area of the complete square </em>

A=8^{2}=64\ units^{2}

<em>Find the area of triangle 1</em>

A=(1/2)(4)(5)=10\ units^{2}

<em>Find the area of triangle 2</em>

A=(1/2)(3)(3)=4.5\ units^{2}

<em>Find the area of triangle 3</em>

A=(1/2)(3)(3)=4.5\ units^{2}

<em>Find the area of triangle 4</em>

A=(1/2)(3+4)(5)=17.5\ units^{2}

The area of the image is equal to

A=64-10-4.5-4.5-17.5=27.7\ units^{2}

4 0
3 years ago
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