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Vaselesa [24]
3 years ago
7

Solve for x and y .

Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

x = 4 and y = 2

Step-by-step explanation:

Assuming the figure is a Parallelogram then

Opposite sides are parallel and equal, hence

17x - 64 = x ( subtract x from both sides )

16x - 64 = 0 ( add 64 to both sides )

16x = 64 ( divide both sides by 16 )

x = 4

Also 9y = 2y + 14 ( subtract 2y from both sides )

7y = 14 ( divide both sides by 7 )

y = 2



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Solve the equation. Round to the nearest hundredth. Show work.
Burka [1]

Answer:

x=-0.75

Step-by-step explanation:

The given equation is

4^{-5x-7}=6^{2x-1}

We take logarithm of both sides to base 10.

\log(4^{-5x-7})=\log(6^{2x-1})

(-5x-7)\log(4)=(2x-1)\log(6)

We expand the brackets to get;

-5x\log(4)-7\log(4)=2x\log(6)-\log(6)

Group similar terms;

-7\log(4)+\log(6)=2x\log(6)+5x\log(4)

-7\log(4)+\log(6)=(2\log(6)+5\log(4))x

\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x

x=-0.752478

To the nearest hundredth.

x=-0.75

3 0
3 years ago
The polygon Q(3, 2), R(6,5), S(6, 2)
ycow [4]

Answer:

Q' (12,8) , R'( 24,20) and S' (24,8)

Step-by-step explanation:

Here, we want to get the coordinates of the image after dilating the pre-image by a scale factor of 4

What we have to do here is to multiply each of the coordinate on the pre-image by 4

We have this as;

Q' = (4*3, 2 * 4) = (12,8)

R' = (4*6, 4*5) = (24,20)

s' = (4*6, 4*2) = (24,8)

4 0
3 years ago
A sphere has a radius of 1.5 inches.
Schach [20]
V = (4/3)×3.14×(1.5^3)
V = 14.1 in^3
7 0
3 years ago
Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate
Bas_tet [7]

Answer: 2 minutes

Step-by-step explanation:

Given the following :

Plane A's descent :

y = -2,500x + 14,000

Plane B's Ascent :

y = 4,000x + 1,000

where y = altitude x = minute

Time to be at the same altitude :

Being at the same altitude means ;

Plane A's descent = Plane B's Ascent

-2,500x + 14,000 = 4,000x + 1,000

-2500x - 4000x = 1000 - 14000

-6500x = - 13000

x = 13000 / 6500

x = 2

x = 2minutes.

5 0
3 years ago
Which equation could be used to solve this problem? The sum of two consecutive integers is 141. Find the integers. A. n + 1= 141
Kamila [148]
D. works because if you work it out that means 2n=140 and then divide by 2 which means n=70 and the other number is 71
7 0
3 years ago
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