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Airida [17]
2 years ago
11

What is the vertex of y = - | x + 3 | + 5

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
7 0

Answer:

vertex = (- 3, 5 )

Step-by-step explanation:

The general form of the absolute value function is

y = a | x - h | + k

where (h, k) are the coordinates of the vertex

Given

y = - | x + 3 | + 5 ← in general form, then

vertex = (- 3, 5 )

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Which is not an equation of the line that passes through the points (1, 1) and (5, 5)?
maria [59]

(1,\ 1)\to x_1=1,\ y_1=1\to x_1=y_1\\\\(5,\ 5)\to x_2=5,\ y_2=5\to x_2=y_2\\\\\text{Therefore we have the equation}\ y=x\\\\\text{subtract y from both sides}\\\\\boxed{x-y=0\to\boxed{B}}\to\boxed{y-x=0\to\boxed{A.}}\\\\Answer:\ C.\ -x-y=0

8 0
3 years ago
A square has sides of length 2 inches. What is it’s perimeter centimeters ? [1 in. = 2.5 cm]
adoni [48]

Answer:

20 cm.

Step-by-step explanation:

First, find the perimeter in inches. Since it's a square and all 4 sides are the same, you can multiply 2 x 4 to find the perimeter of 8. Now, convert it to cm by multiplying 8 by 2.5. 8 x 2.5 is 20 cm.

4 0
2 years ago
Write 18z − 7 (−3 + 2z) in simplest form. Select True or False for each statement.
vfiekz [6]

Answer:

Simplest form = 4<em>z </em>+ 21

Case 1: True, Case II: false and Case III: true

Step-by-step explanation:

18<em>z </em>- 7( -3 + 2z)

= 18<em>z</em> + 21 - 14z

= 18<em>z</em> -14z + 21

= 4<em>z </em>+ 21

So, in the above expression we have two terms. First term is 4z and second term is 21.

So the first case is true. As the expression has two terms.

The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.

The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.

8 0
2 years ago
Correct answers only please! If you don't know the answer, then please don't guess or say what you think it is.
hammer [34]

Answer:

The option "C" is correct

#in my opinion#

Step-by-step explanation:

The size of a screen is generally measured diagonally.

Thus to find the diagonal length,

we take help from Pythagoras theorem

i.e. \\  {h}^{2}  =  {b}^{2}  +  {p}^{2}

where h (hypotenuse) is the diagonal length, b (base) is the length of horizontal side, and p (perpendicular) is the length of the vertical side of the TV,

THUS the diagonal length or hypotenuse

h =  \sqrt{ {b}^{2} +  {p}^{2}  } \\  \:  =  \sqrt{1024 + 324}  \\  \:  =  \sqrt{1348}  \\  \:  = 36.7 \:  (= aprox \: 37)

3 0
3 years ago
$15,074 is invested, part at 14% and the rest at 5%. If the interest earned from the amount invested at 14% exceeds the interest
Flauer [41]

The rate at 14% and 5% are $12, 883 and $2191 respectively.

<h3>How to determine the rate</h3>

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = 15, 074 - y

Substitute in equation 2

0. 14(15, 074 - y) = 0. 05y + $1694. 07

Expand the expression

2, 110. 36 - 0. 14y = 0.05y + 1694. 07

Collect like terms

416. 29 = 0. 19y

Make 'y' the subject

y = \frac{416. 29}{0. 19}

y = $2, 191

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = $15, 074 - 2191

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16863577

#SPJ1

4 0
1 year ago
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