Find the value or values of y in the quadratic equation y2 + 4y + 4 = 7.

Answers

Answer 1
Answer: If we move 7 to one side, we have (y^2 + 4y -3) = 0. From this form, we can apply the quadrati formula to solve for the values of y. To recall, quadratic formula is [ -b ±√ (b² - 4ac) ]/2a. For our equation, we have a =1, b = 4, and c = -3. If we plug this in, we have y to have approximate values of -2 - sqrt(7) and -2 + sqrt(7).

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Use the following number line to determine if the expressions are true or false.

Answers

Answer:

{ \tt{a < b→true}}  \n { \bf{reason :because \:  - 1 \: is \: less \: than \: 4.5 }}\n  \n { \tt{ |a| > b →false}} \n  { \bf{reason :1 \: is \: not \: greater \: than \: 4.5 }}\n \n  { \tt{a <  |b| →true}}

Answer:

true

false

true

Step-by-step explanation:

Answer all pls1. Simplify the expression (-m) + 3 + 7m - 1
2. Simplify the expression 2v - 7 - 12v + 15
3. What is the result when you add (c + 4) and (2c - 1)?
4. Subtract the expressions (2w + 3) - (w + 3)
5. What is the result when 2a - 5 is subtracted from 3a + 3?

Answers

1. 6m + 2
2. 8 - 10v
3. 3c + 3
4. w

Use synthetic division to solve (x^4 – 1) ÷ (x – 1). What is the quotient?

Answers

Answer:  x^3+x^2+x+1

Step-by-step explanation:

Here, the dividend is x^4+0x^3+0x^2+0x-1

While divisor is  x - 1

In the synthetic division,

We will follow the following steps,

Step 1) Write the coefficient of the dividend in the decreasing order of degree,

Hence, the element in the first row under the division sign are 1, 0, 0, 0, - 1

Step 2) By putting x - 1= 0, we get x = 1

Hence, write down 1 outside the sign,

Here the problem is set up correctly, So, bring the leading coefficient (first number) straight down.

Step 3)  Multiply the number in the division box with the number that we brought down and put the result in the next column. Then, Add the two numbers together and write the result in the bottom of the row.

Step 4) Repeat the third step until you get the last element ( here the last element is 0,

Thus, We get numbers in the third row, 1, 1, 1, 1 ( Except 0 )

⇒ Quotient is  x^3 + x^2 + x + 1

Answer:

C

Step-by-step explanation:

What is the slope of the line?
A. -4
B. -1/4
C. 1/4
D. 4

Answers

Answer:

Step-by-step explanation:

The equation of a line is given by:

y = mx + b

where m is the slope of the line and b is the y-intercept. To find the slope of the line, we need to look at the coefficient of x in the equation. In this case, the coefficient of x is 1, so the slope of the line is:

m = 1

Therefore, the slope of the line is 1.

-1/4 is the slope of the line/the answer

1.Выполните действия:а) (а^2– 2b)^2
б) (-7x — 1)^2
в) (-5а +2в^4)^2
г) (x-12)(х+ 12)
д) (- 4n^3 +7)(4n^3+7)​

Answers

Answer:

Step-by-step explanation:

a. a^4 - 2ab^2 - 2ab^2 + 4b^4 = a^4 - 4ab^2 + 4b^2

b. 49x^2 - 14x + 1

c. 25a^2 - 20ab^4 + 4b^8

d. x^2 - 144

e. -16n^6 - 28n^3 + 28n^3 + 49 = -16n^6 + 49

The angles of a rectangle are equal. always sometimes never

Answers

The angles of a rectangle are equal ALWAYS.

The rectangle has 4 angles, each angle is a right angle or has a measurement of 90°. Total of all interior angle is 360°.

Just like a rectangle, a square has an angle that is always equal because its angles are all right angles.