What are the roots of the equation x² + 6x-9 = 07

Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

-x + 3 = x  + 1

3 -1 = x + x

2x = 2

x = 1

and y = 2

So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

= 1.4142

Answer:

A or B ( if it is multiple choice as B is the answer to A)

Answer:

C and E

Step-by-step explanation:

C and E are both equal to (2^3)^4

Answer:

-8, 16, ...

Step-by-step explanation:

You are subtracting 8 everytime. Therefore, you would go into negatives from here.

Answer:

24, 16 , 8 , 0

\/ \/ \/

-8 -8 -8

Step-by-step explanation:

for you to get 8 you subtract the first term with the second term

The length of the arc with a central angle of 285 degrees and a radius of 5 meters is 24.9 meters

The given parameters are:

The length of the arc is calculated using:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

L = 285/360 * 2 * 3.14 * 5

Evaluate

L = 24.9

Hence, the length of the arc is 24.9 meters

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Answer:

To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour

Step-by-step explanation:

Answer:

a. 10 - [tex]\frac{2}{5}[/tex] = [tex]9\frac{3}{5}[/tex] or 9.6

b. 25 - [tex]\frac{3}{25}[/tex]= [tex]24 \frac{22}{25}[/tex] or 24.88

c. 105-[tex]\frac{84}{84}[/tex] = 104.0

d. 170 - [tex]\frac{125}{125}[/tex] = 169.0

Answer:

57 miles.

Step-by-step explanation:

to find

⇒ total number of miles dana ran

given

⇒ monday = 10.2 miles

⇒ tuesday = 11.4 miles

⇒ wednesday and thursday =  11.8 miles

⇒ friday = 12.3 miles

∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3

⇒ 57.5

⇒ 57 miles

Answer:

[tex]\sqrt{a^{6} *a}[/tex]

Step-by-step explanation:

when multiplying exponents, as long as the base is the same, you add the power. [tex]a^{6}*a^1=a^(6+1)=a^7[/tex]

The quadrilateral A and quadrilateral B are similar but not congruent. Then the correct option is A.

Any closed figure made by 4 line segments joined end to end in a series is called a quadrilateral.

If a polygon is four-sided (a quadrilateral), the sum of its angles is 360°

The figure below shows three quadrilaterals A, B, and C on a coordinate grid.

Then the quadrilateral A and quadrilateral C are similar and congruent too.

The quadrilateral A and quadrilateral B are similar but not congruent.

Similarly, the quadrilateral C and quadrilateral B are similar but not congruent.

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Answer:

I have attached a screenshot of your inequality graphed. Credit to Desmos.

Answer:

$310.05

Step-by-step explanation:

Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.

Original price: $375

Discount of 22%

22% of $375 = 0.22 × $375 = $82.50

Price after discount (but before tax): $375 - $82.50 = $292.50

Sales tax of 6%

6% of $292.50 = 0.06 × $292.50 = $17.55

Price after discount and tax: $292.50 + $17.55 = $310.05

Method 2: Add and subtract the discount percent and the tax percent first, then multiply.

Original price: $375

The discount is 22%.

The original price is 100%.

Subtract 22% from 100%: 100% - 22% = 78%

The discounted price is 78% of the original price.

Once you have the discounted price, tax is 6%.

The new discounted price is 100%. Add 6% to get 106%.

The price with tax is 106% of the discounted price.

106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05

Answer: $310.05

Answer: E ; (0,12) , (9,0)

Explanation: To find coordinates by a scale factor is by multiplying.
What we need to do is to multiply the coordinate points by the scale factor.

Find A' is use A 's coordinate.  A 's coordinates are (0,4)
3 x 0 = 0
3 x 4 = 12

A' coordinates are : (0,12)

Using the same technique with C'.
3 x 3 = 9
3 x 0 = 0

C' coordinates are : (9,0)

Answer:

If it went up it would be: 50596.35 and if it went down it would be: 7556.66

Step-by-step explanation:

Here will be the function if it went up:

20000(1+0.0475)^20

Here’s if it went down:

20000(1-0.0475)^20

Answer:

The answer is 150-3

That is 147

Step-by-step explanation:

Do This

(50 x 3)-(120/40)

150-3

147 is your answer

Answer:

10

Step-by-step explanation:

it is 10 I jus did it 120 =12 x x =12 10

(a) f(0) in the given function in mod 5 is 2.

(b) f(1) in the given function in mod 5 is 2.

(c) f(2) in the given function in mod 5 is 3.

(d) f(3) in the given function in mod 5 is 1.

(e) f(4) in the given function in mod 5 is 2.

The given function is defined as follows;

f(x) = (x³ + 4x + 2) mod 5

f(0) = (0 + 0 +2) = 2 in mod 5 (0 remainder 2) = 2

f(1) = (1 + 4 + 2) = 7 in mod 5  (1 remainder 2) = 2

f(2) = (2³ + 4(2) + 2) = 18 in mod 5 (3 remainder 3) = 3

f(3) = (3³ + 4(3) + 2) = 41 in mod 5 (8 remainder 1) = 1

f(4) = (4³ + 4(4) + 2) = 82 in mod 5 (16 remainder 2) = 2

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Answer:

10 ft to nearest foot.

Step-by-step explanation:

We use the Pythagoras theorem:

12^2 = 6^2 + h^2    where h is the height on the barn

h^2 = 12^2 - 6^2

h^2 = 144 - 36 = 102

h= √108 = 10.39

Answer:

b

Step-by-step explanation:

4 - 8 = -4 times 2 = -8

Answer:

D

Step-by-step explanation:

assuming a 6 sided die half of the die is above 3 so 1/2

Answer:

20°

Step-by-step explanation:

Solution,

Here,

→(x+20°)+160°=180°[Sum of a straight line is 180°]

→x=180°-180°

→x=0°

Again,

→x+20°

→0°+20°

→20°

Answer:

I have the same problem as you and it told me that it’s 40

Step-by-step explanation:

=======================================================

Explanation:

R = red apple

G = green apple

The best case scenario is when Leyan picks 3 red apples in a row (or 3 green apples in a row). So either RRR or GGG. However, she might not be so lucky.

We have to consider the opposite side of the spectrum and consider the worst case scenario.

Consider the case of alternating colors. If she selects four apples and the colors alternate, then she might have something like RGRG. There are two of each color so far.

Whatever she picks next will mean she has 3 of the same color. So it could be RGRGR or RGRGG. Therefore, she must select 5 apples to guarantee she has at least 3 of the same color.

--------------------

Extra info (optional section)

If you are curious about how many apples are needed to guarantee she has 3 of both colors, then she would have to select 13 apples.

Why? Let's say she has really bad luck and selects 10 red apples in a row. The 3 extra selections are guaranteed to be green.

Answer:

850 ( 2 multiply by 15 divide by 100)

850 ( 2 multiply 0,15)

850 multiply 0,3

= R255, 00

Answer:

y-5.5=0 * (x+3)

Step-by-step explanation:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

this question can be easily solved by using unitary method ~

[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]

hope helpful ~

By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.

Here we assume that:

Both candles have the same original length L, and both decrease a constant rate.

Candle 1 is consumed in 6 hours, so it is consumed at a rate of:

L/6h.

This means that after a time t in hours, the length of candle 1 is:

L₁(t) = L - (L/6h)*t

For candle 2, the rate is:

L/9h

And the function for the length of candle 2 is:

L₂(t) = L - (L/9h)*t

Now we want to find the value of t such that:

L₂(t) = 3*L₁(t)

So we just solve:

L - (L/9h)*t = 3*(L - (L/6h)*t)

L - (L/9h)*t = 3L - (L/2h)*t

(L/2h)*t -  (L/9h)*t = 3L - L = 2L

(5.5L/9h)*t = 2L

t = 2*(9h/5.5) = 3.27 h

After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.

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