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emmainna [20.7K]
3 years ago
13

The length of a rectangle is 3x + 6. The width of the rectangle is 4x + 2. Find the area and perimeter of the rectangle.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Step-by-step explanation:

A= l × w

A= (3x+6)×(4x+2)

A= 12x²+6x+24x+12

A=12x²+30x+12

P=2l+2w

P=2(3x+6)+2(4x+2)

P=6x+12+8x+4

P=14x+16

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How many total blocks will she travel if she goes to Amanda‘s house and then to Karen’s and finally back home
tester [92]

Answer:

19 blocks

Step-by-step explanation:

To amanda's house, it is 5 blocks (we count 1 to 6 = 5 units)

From amanda's to Karen's, is 6 units (we count from -1 to 5 = 6 units)

Now, to find Karen to own place, we have to use the Pythaogrean Theorem. It is applicable for right triangle (which is shown, Amanda's place is the right angle).

The two distance we found are the two legs of the triangle and the other side (what we need to find) is the hypotenuse (which is the side opposite of right angle). The theorem says:

Leg^2 + Another Leg^2 = Hypotenuse^2

We know the 2 legs' length, so we can solve for hypotenuse (Karen to Own place Distance). Shown below:

5^2 + 6 ^ 2 \\=25+36\\=61

So, we have:

Hypotenuse^2 = 61

Hypotenuse = Sqrt(61) = 7.81

Rounded to nearest block, that is 8 blocks

So, total distance traveled is:

5 + 6 + 8 = 19 blocks

4 0
3 years ago
8. Find the inverse of the function.<br> Y=-3/x+4
melomori [17]

Yo sup??

y=-3/x+4

cross multiply

x+4=-3/y

x=-3/y-4

f(y)=-3/y-4

or

f(x)=-3/x-4

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The correct answer is option 4

Hope this helps.

4 0
3 years ago
Plot J(-2,8), K(0,8), L(1,0), and M(1,-2) in a coordinate plane. Then determine whether JK and LM are congruent. A. Cannot be de
mr_godi [17]

Answer:

C. JK and LM are congruent

Step-by-step explanation:

Given the coordinates J(-2,8), K(0,8), L(1,0), and M(1,-2), in other to determine whether JK is congruent to LM, we need to determine if the length of side JK and LM are equal i.e JK = LM

To get JK:

We will find the distance between the coordinates J(-2,8), K(0,8) to get the length JK using the formula:

JK =√(x2-x1)²+(y2-y1)²

JK = √(0-(-2))²+(8-8)²

JK = √2²+0²

JK = √4

JK = 2

For the length of LM with coordinate L(1,0), and M(1,-2)

LM = √(1-1)²+(-2-0)²

LM = √0²+(-2)²

LM = √0²+2²

LM = √0+4

LM =√4

LM = 2

Since JK = LM = 2 units, this means that JK and LM are congruent.

7 0
3 years ago
Write an equation that defines the exponential function with base a &gt; 0.
inessss [21]
<span>The equation fpxq =ax defines an exponential function with base a. The domain of the function is all real numbers.</span>
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I need help asap please ​
Eduardwww [97]

Answer:

y=✓x-3

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