divide x² +x +1 by x+ 1 by long division method​

Answer:

y intercept= 12

x intercept = 4

Step-by-step explanation:

It is just one interception because the equation is linear

Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Represent the time the Hill family and the Moore family use the sprinkler with H and M.

So, the total time is:

[tex]H + M = 60[/tex]

And the rate is:

[tex]25H + 20M = 1325[/tex]

Make H the subject in [tex]H + M = 60[/tex]

[tex]H= 60 - M[/tex]

Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]

[tex]25(60 - M) + 20M = 1325[/tex]

Open brackets

[tex]1500 - 25M + 20M = 1325[/tex]

Collect like terms

[tex]- 25M + 20M = 1325 - 1500[/tex]

[tex]- 5M = -175[/tex]

Divide both sides by -5

[tex]M = 35[/tex]

Recall that:

[tex]H= 60 - M[/tex]

So, we have:

[tex]H = 60 - 35[/tex]

[tex]H = 25[/tex]

Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Read more about system of equations at:

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Answer:12m

Step-by-step explanation:

Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2

15^2 = 9^2 + x^2

225-81 = x^2

144 = x^2

x = 12m

Answer:

no

Step-by-step explanation:

no. substitute -1 for x and -2 for y.

the first one is -1 - 10

this equals -11 not 3

Answer:

-9 would be your y-intercept

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

57 degrees

Step-by-step explanation:

It is an isosceles triangle because QP has the same length as OP. So the base angles will be the same.

Answer:

B

Step-by-step explanation:

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Luis’s, because he flipped the inequality sign when he subtracted

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

Answer:

f(x) = x+9

g(x) = 2/x^2

Step-by-step explanation:

I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.

Answer:

90,000

Step-by-step explanation:

3750ml/hr *24 hrs

Therefore, A leaking tap will waste 90000 ml in a day.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

y=4x+5

Step-by-step explanation:

Answer: 49

Step-by-step explanation:

Answer:

7-1x^2

Step-by-step explanation:

Answer:

I think it's no

Step-by-step explanation:

because you will study hard

Answer:

120 yards,360 feet's of length and 53 1/3 yards,160 feet of width

Answer:

x = 46°

Step-by-step explanation:

The sum of interior angles = (n-2) × 180°

= (5-2) × 180°

= 540°

2x+3x+3x-4+3x+x-8 = 540°

12x = 552°

x = 46°

9. yes, 2 congruent sides

10. no

11. yes, 1 congruent side and angles

12. yes, 1 congruent side and angles

13. yes, 1 congruent side and angles

14. yes, 2 congruent sides

15. yes, congruent sides and angles

16. yes, congruent angles and sides

Answer:

y=-1/2x+3

Step-by-step explanation:

Step-by-step explanation:

Subtract x both sides

2y = 6 + (-x)

Divide by 2 both sides

y = 3 + (-1/2x)

y = -1/2x + 3

Answer:

2x^4+4x^3+5x^2-7x+5

Step-by-step explanation:

Answer:

Shifted to the right by 9 units, and down by 7 units

Step-by-step explanation:

y=x is the origin.

(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction

(you can be able to review why this is from online resources or you can ask your teacher)

the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction

let's sum up:

for this situation,

- what is inside the parentheses is the x

- what is outside the parentheses is the y

- the x-values direction shifts opposite from the sign (+/-)

- the y-values direction shifts like the sign (+/-)

So,

the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.

Answer:

it is reduction so the answer is B.

Step-by-step explanation:

4x^2 + 2x - 4

Hope this helps

Answer:

The answer is C since she is adding 5 to both sides

Hope This Helps!!!

Answer:

1 2 5 and 6

Step-by-step explanation:

Answer:

Both are false

Step-by-step explanation:

When you dilate something by a number >1 it gets larger.

Answer:

0.86

step by step explain:

first you want to get a calculator and you want to put in 5.56 divide 6.42

Answer:

= 0.866

Step-by-step explanation:

By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.

Then we have the equation: 556 ÷ 642 = 0.866

and therefore: 5.56 ÷ 6.42 = 0.866

both calculated to three decimal places.

Equation:

The actual equation is attached below as an attachment.

Message:

Hope this helps! I am not the best at math, so sorry if I got it wrong.

By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.

Reasons

The given parameters are;

The distance from the star to the Sun = d

The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees

The average distance from Earth to the Sun = 1 AU

By trigonometric ratios, we have;

[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]

Therefore;

[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]

The expression to calculate for d for any star is therefore;

The angle given for θ for the referenced star is θ = 0.00001389

Therefore;

[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]

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