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Alenkinab [10]
3 years ago
12

In parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

Step-by-step explanation:

BC=AD

3x-1=x+5

3x-x=5+1

2x=6

x=3

BC=3×3-1=8

CD=2x=2×3=6

perimeter=2(8+6)=2(14)=28

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Express , twelve times a number minus six is less than or equal to
xenn [34]

Answer:

12x - 6 ≤ - 18

Step-by-step explanation:

We will call "a number" x so

Twelve times a number would be:

12x

Then minus 6

12x - 6

Now we add the less than or equal to sign.

12x - 6 ≤

This is equal to negative eighteen, so:

12x - 6 ≤ - 18

As a bonus we can also solve for x.

12x - 6 = - 18    Add 6 to each side.

12x - 6 + 6 = -18 + 6

12x = -18 + 6

12x = -12  Divide each side by 12

12x/12 = -12/12

x = -12/12

x = -1

So we can say when x ≤ -1 Then 12x - 6 ≤ -18

3 0
3 years ago
SIS<br> 2log(x + 86) = 4<br> EE<br> S<br> -
mina [271]

Answer:I think your Answer would be x=14 but I am not sure.

Step-by-step explanation:

2log 10 (x+86)=4

Determine the defined

2log 10 (x+86)=4,x >-86

Divide both sides by 2

log 10 (x+86)=2

Solve by converting the logarithm into exponential form

x+86=10 2

Evaluate the power

x+86=100

Move constant to the right

x=100-86

Subtract the numbers

x=14,x>-86

Check if the solution is in the defined range

SOLUTION

X=14

4 0
3 years ago
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the
Ivanshal [37]

The sine function for the given scenario is y  = 6sin ( (π / 10) x )  -  10.

<u>Step-by-step explanation:</u>

The standard formula for sine function is Asin(Bx)+C.

A buoy bobs up and down 6 meters. That is the buoy shifts vertically and horizontally  for 6 meters which is amplitude.

∴Amplitude A= 6.

Period is the distance in the x-axis that makes one full oscillation.

We know that the time taken buoy to move from its highest point to lowest point (half oscillation) is 10 seconds.

∴The period for full oscillation is 20 seconds.

Also, Period =2π divided by B.

⇒ 20 (B) = 2π.

B=2π /20.

= π/ 10.

Since the buoy is in the depth of the ocean 10 meters C = -10.

Applying all the values in the formula,

⇒y  = 6sin ( (π/ 10) x )  -  10.

The first point is the mid line,

The first point is x=0,

⇒y=6sin(0)-10.

y= -10.

∴ The line starts at the point y = -10.

The second point is either maximum or minimum value.

That is (5,-4) and (15, -16.)

7 0
3 years ago
What point appears to be the solution to the system of the equations shown in the graph
kvasek [131]

Answer:

(-2, -5)    appears to fit both equation

7 0
2 years ago
17=-5x-6x+14 <br> ill mark brainliest need asap
ASHA 777 [7]

Answer:

hello

Step-by-step explanation:

- 5x - 6x = 14 - 17 \\  - 11x =  - 3 \\ x =  -  \frac{3}{11}

i think so

Hope it helps

Have a nice day

3 0
3 years ago
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