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klemol [59]
3 years ago
9

Select the two values of x that are roots of this equation. 3x - 5 = -2x2​

Mathematics
1 answer:
densk [106]3 years ago
3 0

Answer:

C and A are the answer

Step-by-step explanation:

step by step

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The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg?
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Pythagorean theorem
c2 = a2 + b2
58^2 = 42^2 + b2
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Find the values of x and y that make these triangles congruent by the HL Theorem.
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According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

By using equation (1) next step is to plug in y+1 for x in equation (2). So,

2 ( y + 1) + 3 = 3y + 3

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2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.

2y = 3y - 2

2y - 3y = -2 Subtract 3y from each sides.

-y = -2

So, y=2

Next step is to plug in y=2 in equation (1) to get the value of x. Hence,

x= 2+1

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So, x=3 and y=2 make these triangles congruent.

So, the correct choice is 3. x = 3, y = 2.

7 0
3 years ago
Find all the points, if any, where the graph of 12x-5y=0 intersects (x+12)^2+(y-5)^2=169.
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I: 12x-5y=0
II:(x+12)^2+(y-5)^2=169

with I:
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-> substitute x in II:
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(25/144)y^2+y^2+10y-10y+144+25=169
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(25/144)y^2+y^2+169=169
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y^2=0
y=0

insert into I:
12x=0
x=0

-> only intersection is at (0,0) = option B
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