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2 years ago

Kai wrote the number 85 on the board. Is 85 prime or composite?

Mathematics

1 answer:

IceJOKER [234]2 years ago

4 0

Kai wrote a composite number because that number is 85.<span />

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Solve the following quadratic equation for all values of x in simplest form.

NNADVOKAT [17]

Answer:

x = ± 1

Step-by-step explanation:

Given

3(x² - 4) + 7 = - 2 ( subtract 7 from both sides )

3(x² - 4) = - 9 ( divide both sides by 3 )

x² - 4 = - 3 ( add 4 to both sides )

x² = 1 ( take the square root of both sides )

x² = ± $\sqrt{1}$ = ± 1

Thus

x = - 1, x = 1

8 0

2 years ago

Pleas help me find the answer and show the work to this question

lions [1.4K]

Answer:

$Leg\ 1 = 8$

$Leg\ 2 = 15$

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

$Hyp^2 = Adj^2 + Opp^2$

In this case:

$17^2 = x^2 + (2x- 1)^2$

Open Bracket

$17^2 = x^2 + 4x^2- 2x-2x + 1$

$17^2 = 5x^2 - 4x + 1$

$289= 5x^2 - 4x + 1$

Collect Like Terms

$5x^2 - 4x + 1 - 289 = 0$

$5x^2 - 4x - 288 = 0$

Solving using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

So:

$x = 8$ or $x = -7.2$

Since, x can't be negative, then:

$x = 8$

One of the leg is:

$Leg\ 1 = x$

$Leg\ 1 = 8$

$Leg\ 2 = 2x - 1$

$Leg\ 2 = 2*8 - 1$

$Leg\ 2 = 16 - 1$

$Leg\ 2 = 15$

6 0

2 years ago

Hello please help i’ll give brainliest

Nata [24]

Causing the surface water to evaporate

4 0

2 years ago

Read 2 more answers

Hurry for Brainlist =Accurate Answer

cluponka [151]

Step-by-step explanation:

the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.

that means it must have the same slope but a different y-intercept.

the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).

and we see that the points with integer coordinates seem to be e.g. (3, -2).

so, for the slope (y difference / x difference between 2 points) we use this point and the origin.

x changes by +3 (from 0 to 3).

y changes by -2 (from 0 to -2).

so, the slope is -2/3. and it is always the factor of x.

let's look at the answer options :

2x + 3y = 0

3y = -2x

y = (-2/3)x

this is the identical line, so it is wrong !

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 2

the same slope and different y-intercept.

this is the correct solution !

2x - 3y = 9

-3y = -2x + 9

y = (2/3)x - 3

wrong slope. so it is wrong !

y = 3x + 2

wrong slope. so it is wrong !

5 0

2 years ago

If the area of a parallelogram is 9.6cm² and base is 1.2 cm, then the corresponding height is:

julia-pushkina [17]

Answer:

Height is 8cm

Step-by-step explanation:

A= bxh

9.6 = 1.2 x h

÷1.2

8 = h

Check:

8 x 1.2= 9.6cm

Hope this helps!

8 0

2 years ago