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marissa [1.9K]
4 years ago
9

A2+2a-3=0 solving equations by completing the square

Mathematics
1 answer:
Olenka [21]4 years ago
8 0
I assume that you mean a^2 + 2a - 3 = 0

You need to find two numbers that multiply together to give the number 3 and when added give the answer 2 (as in 2a).  In this case the numbers are 3 and 1 (3 x 1 = 3 and 3 - 1 = 2)

Therefore we have
(a + 3)(a - 1) = 0

The values of x which solve the equation are -3 and 1
The reason is that -3 + 3 = 0 and 1 - 1 = 0 : zero times any number is zero


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In Usama's high school, there are 190 teachers and 2650 students. What is the student-teacher ratio?
GarryVolchara [31]

Answer:

i think it's 14:1 i can't understand 503500.

6 0
3 years ago
Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS? answer: A) ∠C ≅ ∠L B)
anzhelika [568]

Answer:

B) ∠B ≅ ∠K

Step-by-step explanation:

The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).

7 0
3 years ago
Factor the following quadratic function f(x)=X^2-25
riadik2000 [5.3K]

Answer: (x+5)(x-5)

Step-by-step explanation:

f(x)=X²-25 = (x+5)(x-5)

8 0
3 years ago
20 Points!
trapecia [35]

Answer:

3 points on the line - (.5,3) (1,2) (1.5,1)

Step-by-step explanation:

y = -2x + 4      (1.5,1)

1 = -2x + 4    subtract 4 from each side

-3 = -2x        divide each side by -2

1.5 = x

y = -2x + 4      (1,2)

2 = -2x + 4    subtract 4 from each side

-2 = -2x        divide each side by -2

1 = x

y = -2x + 4      (.5,3)

3 = -2x + 4    subtract 4 from each side

-1 = -2x        divide each side by -2

.5 = x

7 0
3 years ago
Read 2 more answers
Radhika borrowed Rs.12000 from her friends. Out of which Rs.4000 were borrowed at 18% and the remaining at 15% rate of interest
goldfiish [28.3K]

<u>Answer-</u>

The total interest after 3 years is Rs.5760 .

<u>Solution-</u>

Total money borrowed = Rs.12000

Out of those Rs.4000 is of 18% interest rate and remaining 12000-4000=8000 is of 15% interest rate.

\text{Total interest}=\frac{P_1\times r_1\times t}{100}+\frac{P_2\times r_2\times t}{100}

Where,

P₁ = principal amount = Rs.4000

P₂ = principal amount = Rs.8000

r₁ = rate of interest of P₁ = 18%

r₂ = rate of interest of P₂ = 15%

t = time period  = 3 years

\text{Total interest}=\frac{4000\times 18\times 3}{100}+\frac{8000\times 15\times 3}{100}=2160+3600=5760


8 0
3 years ago
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