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Afina-wow [57]
3 years ago
15

2 (x- y) = 8 where x = 6

Mathematics
2 answers:
e-lub [12.9K]3 years ago
8 0
Plug the value of x in the equation

2(6 - y) = 8
12 - 2y = 8
-2y = -4
y = 2
svp [43]3 years ago
6 0
2(x-y)=8
2(6-y)=8
12-2y=8
-12     -12
-2y=-4
/-2   /-2
y=2
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What is the measure of angle x?
Kitty [74]

The two horizontal lines are parallel.

This makes the 80 degree angle and the angle ox x and 20 degrees are alternate interior angles and are the same.

This means x + 20 needs to equal 80.

X = 80-20 = 60 degrees.

8 0
3 years ago
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On the first day, a company has 64 orders for shipping crates on backorder. Every day customers order 18 more shipping crates. I
SOVA2 [1]

The <em><u>correct answer </u></em>is:

B. 14

Explanation:

Let x be the number of days.  On day 1, we begin with 64 orders.  We gain 18 orders per day; this is 18x, and gives us

64+18x.

We also make 28 crates per day, which decreases the number of crates we need by 28 per day; this is -28x, and gives us

64+18x-28x

Combining like terms, we get

64-10x

For day 5, we replace x with 5:

64-10(5) = 64-50 = 14

4 0
3 years ago
Find the volume of this square<br> based pyramid.<br> 5ft<br> 6 ft<br> [? ]ft
Sav [38]

Answer:

48 ft³

Step-by-step explanation:

To find the height, you can use the slant height and the base.

Using the Pythagorean Theorem and 3 as the triangle's base,

a²+b²=c²

3²+b²=5²

9+b²=25

b²=16

b=4

The height of the pyramid is 4.

Volume formula for the pyramid is \frac{1}{3} *b*h

Inserting our measurements:

\frac{1}{3} *6*6*4=\\2*6*4=\\12*4=\\48

5 0
3 years ago
4.
zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.

Required

Prove

To start with; we open the bracket on the left hand side

(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)

(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)

(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x

(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x

Reorder

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

From trigonometry;

sin^2x + cos^2x = 1

So;

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

becomes

(sin x - cos x)^2 = 1 - 2sinx cos x

Also from trigonometry;

sec^2x - tan^2x = 1

So,  

(sin x - cos x)^2 = 1 - 2sinx cos x

becomes

(sin x - cos x)^2 = sec^2x - tan^2x  - 2sinx cos x

Proved

3 0
3 years ago
Please answer this now in 2 minutes
ValentinkaMS [17]

Answer:

(1, 2)

Step-by-step explanation:

x2-x1/2, y2-y1/2

Plug in the values, and you should get (1, 2)

7 0
2 years ago
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