Please help I’ll mark brainliest!!!

What is the slope of the straight line that goes through (5, 4) and (9, 2) ?

leva [86]

Answer:

$- \frac {1}{2}$

Step-by-step explanation:

Slope of the line

$= \frac{4 - 2}{5 - 9} \\ \\ = \frac{2}{ - 4} \\ \\ = - \frac{1}{2}$

3 0

3 years ago

Marta and Nicole run laps around the track they run at the same constant speed but Marta starts first when Marta has run 5 laps

Helga [31]

<h2>Hello!</h2>

The answer is:

Nicole has to run 6 laps when Marta has run 8 laps.

In order to calculate how many laps will Nicole have to run when Marta has run 8 laps, we need to use two equations.

We must consider that since both Marta's and Nicole's speed are constant all the time, Marta wil always run more laps than Nicole, meaning that there is not possibility for Nicole to run the same number of laps that Marta.

We know that they started at different time at the same constant speed, and when Marta has run 5 laps, Nicole has run 3 laps, there is a difference of 2 laps, and it will be always like that.

So, we can conclude that Marta will always be 2 laps ahead of Nicole.

$Difference=MartaLaps-NicoleLaps\\\\Difference=5Laps-3Laps=2Laps$

For Marta we have:

$MartaLaps=NicoleLaps+2Laps$

For Nicole we have:

$NicoleLaps=MartaLaps-2Laps$

Now, if we want to calculate how many laps will Nicole has to run when Marta has run 8 laps, we need to use the second equation (Nicole's equation) and substitute the number of laps (Marta's lap), so, substituting and calculating we have:

$NicoleLaps=MartaLaps-2Laps$

$NicoleLaps=8Laps-2Laps=6Laps$

Hence, we have that Nicole has to run 6 laps when Marta has run 8 laps.

Have a nice day!

4 0

3 years ago

Use foil method (8a - 8)(4a + 1)

BlackZzzverrR [31]

The answer is: " 32a² − 24a − 8 " .
__________________________________________________
Given:
__________________________________________________
(8a − 8)(4a + 1) ; Let us expand this expression using the: "FOIL" method.
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"FOIL" stands for "First terms, Outer terms, Inner Terms, Last Terms" ;
 in that order.
___________________________________________________
Basically:
_______________________________________________________
(a + b)(c + d) = ac + ad + bc + bd ;

in which the:

First term is: "ac" ;
Outer term is: "ad" ;
I nner term is: "bc" ;
Last term is: "bd " .
__________________________________
So; we have (given):

(8a − 8)(4a + 1) ;
__________________________________________________
Let's take the "First, Outer, Inner, and Last terms" ; as follows:
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F: (8a)*(4a) = 32a² ;
__________________________________________________
O: (8a)*(1) = 8a ;
__________________________________________________
I : (-8)*(4a) = -32a ;
__________________________________________________
L: (-8)*(1) = -8
__________________________________________________
Now, let us write out these terms:
__________________________________________________
32a² + 8a − 32a - 8 ;
__________________________________________________
Now, combine the "like terms" in this expression; to simplify:

 + 8a − 32a = -24a ;
__________________________________________________
and rewrite the simplified expression ; which is:
__________________________________________________
 32a² − 24a − 8 .
______________________________________________________

6 0

3 years ago

Need help in angles in triangles

Free_Kalibri [48]

Answer:

$in \: the \: triangles \: abc \: and \: bdc$

$c.60$

<h2>Answer: C.60</h2>

I hope this helps

3 0

3 years ago

The acute angle of the right angle triangle are in the ratio of 4:5

Fiesta28 [93]

Answer:

Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.

Step-by-step explanation:

hope it helps.

4 0

3 years ago

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