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malfutka [58]
3 years ago
6

Find the value of k if the line y = kx + 2 goes through the point A (-2, 4)

Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

k=-1

Step-by-step explanation:

check is the equation goes through the point (-2,4)

4=-(-2)+2

4=2+2

4=4

this line goes through the point (-2,4)

Hope this helps UwU...

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Which exponential functions have been simplified correctly check all that apply
Fittoniya [83]
Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,

(xy)^a = (x^a)(y^a)

The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is, 
(x^a)(x^b) = x^ab

Check:


f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)

f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)

f(x) = 81^0.25x = 3^x

f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x

f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)


Therefore, the answer is third equation.

<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
5 0
3 years ago
Read 2 more answers
What is the answer to this equation <br> 40-32/8+5•-2
KiRa [710]

Answer:26

Step-by-step explanation

7 0
3 years ago
Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?
Hunter-Best [27]

The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Given:

Total cost of dryer = $1,400

down payment percentage = 17%

<em>Amount paid for down payment</em> = 17% of $1,400

= 17/100 × 1400

= 0.17 × 1400

= $238

Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Learn more about percentage:

brainly.com/question/2236179

7 0
3 years ago
6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to
Rasek [7]

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = 6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

To know more about Hemisphere, visit;

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6 0
1 year ago
Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3. Polygon Y’s area isn’t what fraction of Polygon X’s area?
loris [4]

Answer:

1/9th.

Step-by-step explanation:

Because the area is measured in units squared, then you have to square 1/3 which is 19th.

5 0
3 years ago
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