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kicyunya [14]
2 years ago
7

Find the 67th term of the following arithmetic sequence. 14, 20, 26, 32, ...

Mathematics
1 answer:
Jlenok [28]2 years ago
7 0

Answer:

410

Step-by-step explanation:

You can use the equation f(n)= 14+(n-1)6 and you substitute in 67 for n.

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Suppose ABCD is a rectangle. Find AB and AD if point M is the midpoint of
Dvinal [7]
We know that
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1

MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2

I substitute 1 in 2

AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]

AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578

1.50AD²-68AD+578=0

 using a graph tool to solve the quadratic equation

see the attached figure

AD1=11.33 in

AD2=34 in----------is not solution because (AB+AD=17)

Solution is AD=11.33 in

AB=17-11.33--------> 17-11.33-----> AB=5.67 in

 the answer is

AD=11.33 in

<span>AB=5.67 in</span>

 

4 0
3 years ago
(12,-9) and (-2,-2) in slope intercept form and if u want the points please explain how u got it
Montano1993 [528]

Answer:

y= -\frac{1}{2} x-3

Step-by-step explanation:

Slope intercept form :

y = mx + b

m is the slope

b is the y-intercept

Let's look for m, use the formula \frac{(y_{1}-y_{2} ) }{(x_{1} -x_{2} )} to determine it.

\frac{-9 - (-2)}{12 - (-2)} = -\frac{1}{2}

y = -\frac{1}{2}x+b

Now find b, we simply need to plug in one of our coordinates to get our answer.

(12, -9)

-9=-\frac{1}{2} (12)+b

Solve for b :

-9 = -6 + b

-3 = b

b = -3

Our slope intercept is :

y = -\frac{1}{2}x - 3

5 0
3 years ago
If the code for CAB is DEK, what is the code for BED?
snow_tiger [21]

Answer:

CIM

Step-by-step explanation:

C is the 3rd letter of the alphabet, A is the 1st, and B is the 2nd.

CAB = 3,1,2

Repeating for DEK:

DEK = 4,5,11

Comparing:

4−3 = 1

5−1 = 4

11−2 = 9

BED = 2,5,4, so adding the corresponding numbers:

2+1 = 3

5+4 = 9

4+9 = 13

So the code is CIM.

7 0
3 years ago
Please Answer This, the question is on the picture. it needs to be a fraction
SpyIntel [72]

Answer:

cos ∅ = 15/17

Step-by-step explanation:

hypotenuse² = 15² +8² = 225 + 64 = 289

hypotenuse = √289 = 17

cos ∅ = 15/17 =

3 0
2 years ago
Tasha says that the expression 6.8w-4.7 can be simplified as 2.1w. Her teacher explains that this is not correct. What mistake d
tatuchka [14]

Answer: She combined unlike terms.

Step-by-step explanation:

You can only combine like terms. If a number has a variable, you must make sure that the number you're operating it with has the same variable raised to the same power (if applicable)

6.8w-4.7 is in its simplest form.

To be able to subtract these, 4.7 must have a ''w'' variable as follows;

6.8w-4.7w=2.1w

7 0
2 years ago
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