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3 years ago

Given ƒ(x) = −15x − 13, find x when ƒ(x) = −28

Mathematics

1 answer:

kumpel [21]3 years ago

6 0

Answer:

In the picture.

Step-by-step explanation:

Hope that helps.

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Please help asap<br> factorise fully:<br> (x^2 -1)-(x-1)^2

Vladimir [108]

Step-by-step explanation:

2x-2 I think it is the answer

5 0

3 years ago

Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0

miss Akunina [59]

<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^2+y^2-2x+4y-11=0$

So, solving we have:

$x^2+y^2-2x+4y=11$

$(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16$

$(x^2-1)+(y^2-(-2))=16$

Now, we have that:

$h=1\\k=-2\\r=\sqrt{16}=4$

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0

4 years ago

What is the length of line segment PQ? If you can please explain, thanks.

nydimaria [60]

Given:

Tangent segment MN = 6

External segment NQ = 4

Secant segment NP =x + 4

To find:

The length of line segment PQ.

Solution:

Property of tangent and secant segment:

If a secant and a tangent intersect outside a circle, then the product of the secant segment and external segment is equal to the product of the tangent segment.

$\Rightarrow NQ\times NP = MN^2$

$\Rightarrow 4\times (x+4) = 6^2$

$\Rightarrow 4x+16 = 36$

Subtract 16 from both sides.

$\Rightarrow 4x+16-16 = 36-16$

$\Rightarrow 4x =20$

Divide by 4 on both sides.

$$\Rightarrow\frac{4x}{4}=\frac{20}{4}$

$\Rightarrow x = 5$

The length of line segment PQ is 5 units.

5 0

4 years ago

Read 2 more answers

Pablo guarda en su cajon 2 pares de medias blancas 4 pares de medias de azules y tres pares de medias negras cual es la probabil

RUDIKE [14]

Answer:

44.4%

Step-by-step explanation:

The probability in this case would be the specific number of pairs of means that we are asked to calculate, that is, blue divided by the total number of pairs, which would be the sum of the different colors, then:

We have that blue there are 4 pairs, and in total it would be 2 + 4 + 3 = 9, that is to say 9 pairs of means.

therefore the probability is:

4/9 = 0.444

Which means that there is a 44.4% chance of drawing a blue pair.

3 0

4 years ago

Sets - Venn Diagram<br><br> Needing help with the second part of this question

sweet-ann [11.9K]

Answer:

{2,4,5,6,7,8,9,10,11,12,13,14,15,16,19,20}

4 0

3 years ago