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1 year ago

Which angle number represents the linear pair of FHC?

Mathematics

1 answer:

ad-work [718]1 year ago

6 0

Answer:

Step-by-step explanation:

The angle number represents the linear pair of ∠FHC is "5"

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PLEASE HELP WILL GIVE BRAINLIEST

vfiekz [6]

Answer:

The slope is 3/2 and the y intercept is 4

Step-by-step explanation:

We want to write in the form

y = mx+b where m is the slope and b is the y intercept

-3x+2y = 8

Add 3x to each side

-3x+3x+2y = 3x+8

2y = 3x+8

Divide each side by 2

2y/2 = 3x/2 + 8/2

y = 3/2x +4

The slope is 3/2 and the y intercept is 4

7 0

2 years ago

EXPLAIN why we placed the value of x= 4/3( the minimum value) into the equ of gradient(dy/dx) [in the answer, marking scheme att

aliina [53]

$y=x(x-2)^2$
$\implies y'=(x-2)^2+2x(x-2)=3x^2-8x+4=(3x-2)(x-2)=0$
$\implies x=\dfrac23,x=2$

are the critical points, and judging by the picture alone, you must have $b=\dfrac23$ and $a=2$ . (You might want to verify with the derivative test in case that's expected.)

Then the shaded region has area

$\displaystyle\int_0^2x(x-2)^2\,\mathrm dx=\dfrac43$

I'll leave the details to you.

Now, for part (iv), you're asked to find the minimum of $\dfrac{\mathrm dy}{\mathrm dx}=y'$ , which entails first finding the second derivative:

$y'=3x^2-8x+4$
$\implies y''=6x-8$

setting equal to 0 and finding the critical point:

$6x-8=0\implies x=\dfrac86=\dfrac43$

This is to say the minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ *occurs when $x=\dfrac43$ *, but this is not necessarily the same as saying that $\dfrac43$ is the actual minimum value.

The minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ is obtained by evaluating the derivative at this critical point:

$m=\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=4/3}=3\left(\dfrac43\right)^2-8\left(\dfrac43\right)+4=-\dfrac43$

4 0

3 years ago

The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth grad

creativ13 [48]

Answer:

The answer is A

Step-by-step explanation:

x+y=18

5x+9y=122

When you solve this system of equations, you get x=10 and y=8. Thus, 5*10, or 50, of the 122 right-handed students are female. Therefore, the probability that a right-handed student selected at random is female is

50/122

which to the nearest thousandth is 0.410.

6 0

2 years ago

If mAngle3 = 29°, what is mAngle4?

kondor19780726 [428]

Please consider the attached graph.

We have been given that measure of angle 3 is 29°. We are asked to find the measure of angle 4.

Upon looking at our diagram, we can see that angle 3 and angle 4 are linear angles.

We know that linear angles add up-to 180 degrees, so the sum of measure of angle 3 and angle 4 will be 180 degrees.

$m\angle 3+m\angle 4=180^{\circ}$

$29^{\circ}+m\angle 4=180^{\circ}$

$29^{\circ}-29^{\circ}+m\angle 4=180^{\circ}-29^{\circ}$

$m\angle 4=151^{\circ}$

Therefore, the measure of angle 4 is 151 degrees.

3 0

2 years ago

Please help fast elementary school all questions

VMariaS [17]

Write the highlighted digit's place and value.

3. 567; ones place 4. 6,327; thousandth place

5. 9,325; hundredth place 6. 8,281; tenth place

Write each number in standard form.

7. 5,000 + 500 + 3; 5,503 8. 2,000 + 300 + 20 + 9; 2,329

9. 4,000 + 600 + 8; 4,608 9. 9,000 + 300 + 70 + 2; 9,372

11. 1,221

We know Sierra has the same numbers in the thousandth and ones place, so keep does numbers: 1,?2?

It also has two more hundreds and 3 fewer ones place: Take the original number; 1,024 (Make sure you keep the numbers) into a equation; (1024+200)-3. First Add as it's in the ( ), then subtract, 1,221

I hope I've helped!

4 0

2 years ago

Which angle number represents the linear pair of FHC?​

Which angle number represents the linear pair of FHC?