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Marrrta [24]
3 years ago
7

Find the least number which must be added to 1825 to get a perfect square find the square root of the perfect squre so obtained

Mathematics
1 answer:
timofeeve [1]3 years ago
7 0
X+1825=y^2
sqrt(1825)=42.8
so the least is y^2=43^2=1849
so x=1849-1825=24

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The remainder when p\left(x\right)=x^3-2x^2+8x+kp ( x ) = x 3 − 2 x 2 + 8 x + k by (x-2) is 19. What is the remainder when p(x)
Dafna11 [192]

Answer:

Remainder when p(x) is divided by (x+2) is -29

Step-by-step explanation:

p(x) = x^{3} - 2x^{2} + 8x + k

When p(x) is divided by (x-2), remainder is 19.

p(x - 2 = 0)  gives the remainder when p(x) is divided by (x-2)

x - 2 = 0

x = 2

p(x-2=0) = p(2) = 2^{3} - 2(2^{2}) + 8(2) + k = 19

8 - 8 + 16 + k = 19

k = 3

p(x) = x^{3} - 2x^{2} + 8x + 3

p(x + 2 = 0)  gives the remainder when p(x) is divided by (x+2)

x + 2 = 0

x = -2

p(x+2=0) = p(-2) = (-2)^{3} - 2((-2)^{2}) + 8(-2) + 3

p(-2) = - 8 - 8 - 16 + 3 = -29

Remainder when p(x) is divided by (x+2) is -29

6 0
3 years ago
Read 2 more answers
Can someone help solve 1 + 2x = 7?​
Yanka [14]

Answer:

3

Step-by-step explanation:

1+2x=7

7-1=6

2x=6

6/2=3

x=3

5 0
3 years ago
Read 2 more answers
What is twice 230? Write using exponents. Explain your reasoning.​
Zielflug [23.3K]
2 x 230 = 231
I’m not 100% sure if this is correct?? Hope it helps though
6 0
3 years ago
I’ve never been so confused, this is due in a few minutes, pls help if you can!
algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))

$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))

Multiply by 2 on both sides.

$\Rightarrow 2 \times 54 = 2 \times  \frac{1}{2} (220- m \ ar (RS ))

$\Rightarrow 108= 220- m \ ar (RS )

Subtract 220 from both sides.

$\Rightarrow 108-220= 220- m \ ar (RS )-220

$\Rightarrow -112= -m \ ar (RS )

Multiply by (-1) on both sides.

$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)

$\Rightarrow 112= m \ ar (RS )

The measure of arc RS is 112.

6 0
3 years ago
A circular mirror has a circumference of 30 pi inches. What is the area of mirror?
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

circumference = 2πr

2πr = 30π inches

r=\frac{30\pi}{2\pi}=15in

Area = πr² = π*15*15 = 225π square inches

6 0
3 years ago
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