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USPshnik [31]
3 years ago
7

Solve the system of equations and choose the correct answer from the list of options.

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0
X-y=7
y=3x+12
y-3x=12
+
-y+x=7
=
-2x=19
x=-9.5
y=-16.6. Hope it help!
ELEN [110]3 years ago
3 0

Answer: x=-9.5

y=-16.5

Step-by-step explanation:

Hi, to solve this problem we have to apply the substitution method:

x-y =7 (a)

y=3x+12(b)

Replacing the value of "y" in (a) for (b):

x -(3x+12)=7

x-3x-12=7

x-3x =7+12

-2x =19

x=19/-2

x=-9.5

Replacing the value of "x" in (b)

y=3x+12

y=3(-9.5)+12

y= -28.5+12

y=-16.5

Feel free to ask for more if needed or if you did not understand something.

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Jane Marko buys a car for $43,900. In three years, the car depreciates 48% in value. How much is the car worth in 3 years
Marina86 [1]
$21,072 is the answer since you the original price is 43,900 and it has decreased 48% therefore using .48 to multiply with 43,900 to find the value after 3 years
4 0
3 years ago
Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl
Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

4a-5=2a+6

4a-2a=5+6

2a=11

Divide both sides by 2.

a=\frac{11}{2}

The value of a is 2. So the coordinates of triangle ABC are

B(0,4a-5)=B(0,4(\frac{11}{2})-5)\Rightarrow B(0,17)

C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)

The area of a triangle is

Area=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|

The area of triangle ABC is

Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|

Area=\frac{1}{2}|12(-17)|

Area=\frac{1}{2}|-204|

Area=\frac{1}{2}(204)

Area=102

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0
3 years ago
-2{-7-2[3 squared + 2 to the power of 4]-8÷4}
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Answer:

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Step-by-step explanation:

-2{-7-2[3 squared + 2 to the power of 4]-8÷4}

-2{-7-2{9+16]-2}

-2{-7-50-2}

-2(-59)

118

5 0
3 years ago
38 1/4 as a decimal.....
Maurinko [17]
38 1/4 as a decimal would be 38.25 because 1/4 is 0.25 add 38 to that would be 38.25
6 0
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4 years ago
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