Felicia has a garden in the shape of a parallelogram as shown.
What is the area of her garden?
72 ft
75 ft
92 ft
96 ft

Answer:

(exact form)   z= -7/5

or

(decimal form)   z= -1.4

or

(mixed number form)   z= -12/5

Step-by-step explanation:

Answer:

The value of z is -7/5

Step-by-step explanation:

1/3 (z + 1/5) = -2/5

z/3 + 1/5 × 3 = -2/5

z/3 + 1/15 = -2/5

15z + 3/45 = -2/5

15z + 3 = -2(45) ÷ 5

15z + 3 = -2(9)

15z + 3 = -18

15z = -18 – 3

15z = -21

z = -21/15

z = -7/5

Thus, The value of z is -7/5

-TheUnknownScientist 72

Answer:

c) x = 1 ± i √29 / 5​

Step-by-step explanation:

assuming we are solving for x we can use the quadratic formula

quadratic formula : [tex]\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}[/tex]

where the values of a,b and c are derived from the equation

the equation is put in quadratic form : ax² + bx + c

so in 5x² -2x + 6 a = 5 , b = - 2 and c = 6

we then plug these values of a, b and c into the quadratic formula

recall quadratic formula [tex]\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}[/tex]

a = 5 , b = - 2 , c = 6

[tex]\frac{-(-2)+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}[/tex]

remove parenthesis at -(-2) to get positive 2 because the negative signs cancel out

[tex]\frac{2+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}[/tex]

evaluate exponent

[tex]\frac{2+or-\sqrt{4-4(5)(6)} }{2(5)}[/tex]

multiply -4(5)(6)

[tex]\frac{2+or-\sqrt{4-120} }{2(5)}[/tex]

subtract 120 from 4

[tex]\frac{2+or-\sqrt{-116} }{2(5)}[/tex]

multiply 2 and 5

[tex]\frac{2+or-\sqrt{-116} }{10}[/tex]

because we cant have a negative square root we replace the negative sign with i (which equals -1 )  and add it to the outside of the square root

[tex]\frac{2+or-i\sqrt{116} }{10}[/tex]

we then simplify  the radical

[tex]\frac{2+or-2i\sqrt{29} }{10}[/tex]

we then simplify the fraction

2/10 = 1/5 so both 2's cancel out

[tex]\frac{1+or-i\sqrt{29} }{10}[/tex]

the answer is C

Answer: 36x-30

Step-by-step explanation:

6 times 6x is 36x and 6 times -5 is -30

Answer:

The answer is 36x – 30

Step-by-step explanation:

6(6x – 5)

6 × 6x – 6 × 5

36x – 30

Thus, The answer is 36x – 30

-TheUnknownScientist 72

Answer:

Step 1

Step-by-step explanation:

they were supposed to multiply 2x by 4 and -1 by 4 but they only multiplied 2x by 4.

Answer:

B. Incorrect with error in STEP 1

Step-by-step explanation:

3x - x + 4 = 4(2x - 1)

Step 1: Simplify

2x + 4 = 8x - 4

Step 2: Subtract 8x from both sides.

2x+4−8x=8x−4−8x

−6x+4=−4

Step 3: Subtract 4 from both sides.

−6x+4−4=−4−4

−6x=−8

Step 4: Divide both sides by -6.

-6x/-6 = -8/-6

x = 4/3

so, the other answer is wrong because she did not multiply the numbers in the parenthesis correctly

Answer:

Yes.

Step-by-step explanation:

Replace x with -2 and y with -3.

-3 = 2(-2) + 1

-3 = -4 + 1

Is -3 = -4 + 1?

Yes, so the answer is yes.

Answer:

120 miles

Step-by-step explanation:

A proportion is a ratio that equals a ratio. I'm going to use cm/miles when I setup the proportion.

[tex]\frac{2.5}{10} =\frac{30}{x}[/tex]

Cross multiply

2.5x = 300

divide

2.5x/2.5 = 300/2.5

x = 120 miles

Locate 6 in the x row. Directly below this is 96

This means f(6) = 96

------------------------------------------------------

Now locate 3 in the f(x) row. Directly above this is 7

You are correct in stating that f(7) = 3

Answer:

I will help if you tell me the question

Answer:

what do u need help with

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The answer is A.

-hope it helps

Answer:

A

Step-by-step explanation:the period is correct.

step 1= read it 3 times

The average daily balance after 20 days is; $1750

The initial balance after grace period is; $25,000

Afterwards, A payment of $5,000 each is made on the 10th and 20th day.

Hence, the total balance after 20 days is;

The average daily balance is therefore the quotient of $35,000 and 20 days

Read more on average;

https://brainly.com/question/15418098

Answer:

13. (B). False

Explanation

in the image

Answer:

9x +24y = -8

Step-by-step explanation:

2y + 3/4 x = -2/3 ( multiple by 4)

24y + 9 x = -8 (move x to the front)

9x + 24y = -8

Answer:

[tex]y=-0.667x+-10[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-9, -4), (x1, y1)
Point B = (-6, -6), (x2, y2)

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6--4}{-6--9} =\frac{-2}{3}[/tex]
[tex]m=\frac{-2}{3}[/tex]

Write in slope intercept form:

[tex]y=mx+b[/tex]
[tex]m=\frac{-2}{3}=-2\div3=-0.667[/tex]
[tex]y=-4[/tex]
[tex]x=-9[/tex]
[tex]-4=-0.667\times-9+b[/tex]
[tex]-0.667\times-9=6[/tex]
[tex]b=-10[/tex]
[tex]y=-0.667x+-10[/tex]

Hope this helps.

Answer:

y=1/5x-4

Step-by-step explanation:

Hi there!

We want to write the equation of the line, and we're given that the line has a slope of 1/5, and the y intercept of the line is (0, -4)

There are multiple ways to write the equation of the line, the most popular being slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We are already given the slope (1/5), so we can plug it in as m in the equation.

y=1/5x+b

Now for b, we are also given the y intercept; the value of b is the value of y at the point of the y intercept

In this case, b would equal -4

So substitute -4 as b into the equation:

y=1/5x-4

This is the equation of the line.

Hope this helps!

Take a look here for a similar problem to practice if you wish: https://brainly.com/question/21717067

Answer:

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

Answer: To test whether the given trinomial is a perfect square, we should try to write the trinomial in the form of a² + 2ab + b² (or) a² - 2ab + b² If we are able to write the given trinomial in the above form, then it is perfect square. Otherwise the given trinomial is not a perfect square.

Step-by-step explanation:

Answer:

it would be 23/2

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

A rational number is one that does not repeat.

Answer:

The answer is A. 12%

Step-by-step explanation:

Answer:

x = 24

PS = 45

Step-by-step explanation:

Perimeter of P Q R S is :

( 4x + 1 ) + ( 2x - 3 ) + ( 2x - 3 ) + 4 + ( 4x + 1 )

4x + 1 +  2x - 3  +  2x - 3 + 4 +  4x + 1

And in the question , given that the perimeter of this figure is 288.

Now let us find the value of x.

4x + 1 +  2x - 3  +  2x - 3 + 4 +  4x + 1  = 288

4x + 2x + 2x + 4x + 1 - 3 - 3 + 4  + 1 = 288

12x + 0 = 288

12x = 288

Divide both sides by 12

x =  24

And now let us find the value of PS

PS = 2x - 3

PS = 2× 24 - 3

PS = 48 - 3

PS = 45

Hope this helps you :-)

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

then the area of the original square is x^2

The sides of the new square is x + 6

The area is (x + 6)^2

Then (x + 6)^2 = 16*x^2

Take square root on both sides and get

x + 6 = 4x,

3x = 6

so x = 2 mm

Answer:

I believe it's the 1st one.

HOPE IT HELPS! BE SAFE :3

Answer:

A

Step-by-step explanation:

Answer:

Figure D

Step-by-step explanation:

15/10 can be simplified to 3/2. Figure D represents a consistent rate of 3/2

Answer:

1400=y+(y×5)+y(×2/3)

y=210

-5 (3 + 5)

-5 (8)

-5 × 8

= -40

Good luck :)

Answer:

-40

Step-by-step explanation:

First you distribute

-5 · 3 = -15

-5 · 5 = -25

Then you add

-15 + (-25) = -40

Answer:

104 m²

Step-by-step explanation:

From inspection of the diagram, we can see that the composite figure is made up of a triangle and a rectangle.

Triangle

If you turn the figure 90° clockwise, you will see that the base of the triangle = 8m and the height of the triangle = 6m.

Area of a triangle = 1/2 x base x height

⇒ area of the triangle = 1/2 x 8 x 6 = 24 m²

Rectangle

From inspection, the length of the rectangle = 10m and the width = 8m

Area of a rectangle = length x width

⇒ area of the rectangle = 10 x 8 = 80 m²

Composite figure area

Therefore the total area of the figure = area of triangle + area of rectangle

⇒ total area = 24 + 80 = 104 m²

Answer:

104 m^2

Step-by-step explanation:

See attached image.

Answer:

No t-intercept/zero

Step-by-step explanation:

1- Substitute f (t) = 0

Rewrite

2- Calculate

3- The statement is false for any of t

4- there is no t-intercept/zero