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3 years ago

Evaluate without using a calculator 899^2 - 2 * 899 * 898 + 898^2

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

Answer:

The answer is 1

Step-by-step explanation:

You can use the formula, a²-2ab+b² = (a-b) to evaluate the following question:

899² - 2(899)(898) + 898² = (899-898)²

= 1

(Hooe this can help)

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3-31÷4=2 15points if you answer

Marat540 [252]

Step-by-step explanation:

-28÷4=2

-7=2

= -7-2

= -9 is the correct answer..

6 0

2 years ago

Solve the following equations;- x - 9 /√x + 3 =1

fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

$\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1$

Cross multiply ,

$\sf\implies x - 9 =\sqrt{ x +3}$

Squaring both sides ,

$\sf\implies (x - 9)^2 = x + 3$

Simplify the whole square ,

$\sf\implies x^2+9^2-2.9.x = x +3 \\$

$\sf\implies x^2+81 - 18x = x -3$

Add 3 and subtract x on both sides ,

$\sf\implies x^2 -18x-x +81-3=0$

Simplify ,

$\sf\implies x^2 -19x +78=0$

Split the middle term of the quadratic equation,

$\sf\implies x^2-13x-6x+78=0$

Take out common ,

$\sf\implies x( x -13)-6(x-13)=0$

Take out ( x -13 ) as common ,

$\sf\implies ( x -13)(x-6)=0$

Equate both factors to 0 ,

$\sf\implies \boxed{\pink{\sf x = 13,6}}$

Hence the value of x is 13 or 6 .

7 0

3 years ago

The 60-foot rope was cut into two pieces. One of the pieces was 10 feet longer than 4 times the length of the other piece. How l

koban [17]

Answer:

50 and 10

Step-by-step explanation:

x+4x+10=y

y is 60

x+4x+10=60

5x+10=60

5x=50

x=10

10*4=40

40+10=50

50+10=60

3 0

3 years ago

Point Q'Q ′ Q, prime is the image of Q(0,6)Q(0,6)Q, left parenthesis, 0, comma, 6, right parenthesis under the translation (x,y)

Marina86 [1]

Q is located at (0,6)

The translation rule is $(x,y) \to (x+7,y-5)$ which says to add 7 to the x coordinate and subtract 5 from the y coordinate. Doing that to (0,6) moves it to (7,1) which is where point Q' is located.

In other words, if you shift point Q(0,6) seven units to the right and five units down, then it arrives at Q ' (7,1)

<h3>Answer: (7, 1)</h3>

8 0

3 years ago

Can a right triangle have a leg that is 10 meters long and a hypotenuse that is 10 meters long

pishuonlain [190]

Lets see
a and b are legs
c=hypotnuse
a^2+b^2=c^2
10^2+b^2=10^2
100+b^2=100
minus 100 both sides
b^2=0
b=0
false, if you have a leg legnth 0, then they lines are right on top of each other

no cannot

5 0

3 years ago

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