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3 years ago

The straight line 3y = 5x + h - 6 intersect the x-axis at 4k, where h and k are constants. explain h in terms of k

1 answer:

3 0

When a function intersects with the x-axis, it's y value must be 0. That means when the straight line intersects with the axis, it's at the point (4k,0), so plugging those numbers into our original equation yields:

$0=20k+h-6 \implies\\ 6=20k+h \implies \\ 6-20k=h$

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A scale model of a tower is 24 inches tall and 18 inches wide. If the height of the actual tower is 60 feet, what is its width?

meriva

Answer:

The actual tower would be 45 ft wide.

Step-by-step explanation:

In order to find the width, we need to determine the scale factor. We can do that by dividing the actual height by the model height.

60ft:24in = 15ft:6in = 2.5ft:1in

Now we use that scale factor to determine the width. Multiply the scale factor by the width of the model.

18 inches * 2.5ft/in = 45 feet

6 0

3 years ago

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

3 years ago

Read 2 more answers

Function p(x), shown below, is translated 10 units up to create function q(x).

natulia [17]

Answer: q(x) = 0.005(x - 40)² + 70

Step-by-step explanation:

f(x) = a(x - h)² + k where a is the vertical stretch and (h, k) is the vertex.

Which coordinate shifts the graph up? The y-coordinate for the vertex is k.

p(x) = 0.005(x - 40)² + 60

q(x) = 0.005(x - 40)² + 60 + 10

= 0.005(x - 40)² + 70

3 0

3 years ago

Use the numbers 6 2 9 5 2 3 to make 36.

VashaNatasha [74]

Answer:

6+2+9+5+2+3+6+3 = 36

Step-by-step explanation:

If you like my answer than please mark me brainliest

5 0

2 years ago

Solve for x:7x + 3 = 17

solong [7]

X would have to equal 2 because when you multiply that by 7 you get 14 then add 3 and you get 17

5 0

3 years ago

Read 2 more answers