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3 years ago

15

An angle greater than 90° but less than 180° is called

1 answer:

Studentka2010 [4]3 years ago

5 0

Answer:

Obtuse angle

Step-by-step explanation:

That's the answer

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WILLL GIVE A BRAINLESST AND 50PTS THANKS

Sedbober [7]

Your answer is B, (t4 - rs5) (t8 + rs5t4 + r2s10)
let me know if you need an explanation :)

3 0

3 years ago

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Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?

Sonbull [250]

Answer:

$-6 < k < 2$

Step-by-step explanation:

Given

$y = x^2 - 2x$

$y =kx -4$

Required

Possible values of k

The general quadratic equation is:

$ax^2 + bx + c = 0$

Subtract $y = x^2 - 2x$ and $y =kx -4$

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

$0 = x^2 - 2x - kx +4$

Factorize:

$0 = x^2 +x(-2 - k) +4$

Rewrite as:

$x^2 +x(-2 - k) +4=0$

Compare the above equation to: $ax^2 + bx + c = 0$

$a = 1$

$b= -2-k$

$c =4$

For the equation to have two distinct solution, the following must be true:

$b^2 - 4ac > 0$

So, we have:

$(-2-k)^2 -4*1*4>0$

$(-2-k)^2 -16>0$

Expand

$4 +4k+k^2-16>0$

Rewrite as:

$k^2 + 4k - 16 + 4 >0$

$k^2 + 4k - 12 >0$

Expand

$k^2 + 6k-2k - 12 >0$

Factorize

$k(k + 6)-2(k + 6) >0$

Factor out k + 6

$(k -2)(k + 6) >0$

Split:

$k -2 > 0$ or $k + 6> 0$

So:

$k > 2$ or k $> -6$

To make the above inequality true, we set:

$k < 2$ or $k >-6$

So, the set of values of k is:

$-6 < k < 2$

3 0

3 years ago

Neil started a stamp collection with 12 stamps. Every week , he adds 4 more stamps to the collection. Which function? F represen

svlad2 [7]

Answer:

$s=4w+12$

Step-by-step explanation:

Let

s -----> the number of stamps

w ----> the number of weeks

we know that

The linear equation that represent this situation is

$s=4w+12$ ----> equation of the line into slope intercept form

where

the slope m is equal to $m=4\ stamps/week$

the y-intercept b is equal to $b=12\ stamps$ ---> (the initial value)

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3 years ago

If 2x=8, then x=4<br><br> Name the property being illustrated in this expression

Kobotan [32]

2x4=8 is the expression gets the answer

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3 years ago

Two rigid transformations are used to map δhjk to δlmn. The first is a translation of vertex h to vertex l. What is the second t

Natalka [10]

Answer:

B a rotation about point H

Step-by-step explanation:

Two rigid transformations are used to map ΔHJK to ΔLMN. The first is a translation of vertex H to vertex L. What is the second transformation?

a reflection across the line containing HK

a rotation about point H

a reflection across the line containing HJ

a rotation about point K

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3 years ago

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