Solve the system of equations y=-x+3 and 2x+2y=6

Answer:

AC

Step-by-step explanation:

sin C = opp/hyp

For angle C, the opposite leg is AB. The hypotenuse is AC.

sin C = AB/AC

Answer:

Step-by-step explanation:

Sin of an angle refers to the ratio between the opposing side and the hypotenuse.

Answer:

-34.

Step-by-step explanation:

This is an arithmetic sequence with first term a1  and common difference -2.

nth term = a1 + d(n - 1)

23rd term = 10 - 2(23-1)

= 10 - 44

= -34.

Answer:

-34

Step-by-step explanation:

The sequence starts with 10. Each subsequent term is 2 less than the previous term.

The common difference is -2.

The second term is 10 + (-2) × 1

The third term is 10 + (-2) × 2

The fourth term is 10 + (-2) × 3

Each term you subtract a multiple of -2 from 10. The multiple is 1 less than the number of the term multiplied by -2.

For term n, you get 10 + (-2) × (n - 1).

The 23rd term is:

10 + (-2) × (23 - 1) = 10 - 2 × 22 = 10 - 44 = -34

Answer:

In analytic geometry using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Step-by-step explanation:

hope this helps if not please let me know :)

Answer:

4.5 miles in 3/4 hours

Step-by-step explanation:

Find the amount of miles in 1 hour. 18/3=6

Now multiply 1.5x3=4.5

3/4=75

This is how i got 4.5 miles

Answer:

C. 4 2/3

Step-by-step explanation:

1) Use this rule: a/b * c = ac/b.

7 * 6/9

2)  Simplify 7 * 6 to 42.

42/9

3) Simplify.

14/3

4) Convert to mixed fractin form.

4 2/3

Answer:

The product of 7/9 and 6:

[tex]\\7/9 x 6 \\\\7x6=42\\\\42/9\\4 6/9\\\\4 is the whole number\\6/9 is the fraction that if we remove the 3 from both of us, it gives us the result 2/3\\ The answer is the B \\[/tex]

Step-by-step explanation:

the answer is the B

Because You only had to multiply 6 by 7 and the result, which would be 42 over 9, should be converted to a mixed number, which would be dividing 42 by 9, which is 4, and us over 6, which is four, which is the whole number, and 6 is the numerator and you don't change the nine since it is still the denominator.

Because the 4 is the whole number

And 6/9 is the fraction that if were move the 3 from both of us , it gives us the result is 2/3

So we have 4 2/3

the answer is the B

Answer:

1 is the answer

Step-by-step explanation:

1/2+1/2 is 2/2 which is equivalent to the number 1!

Answer:£1.8Step-by-step explanation:2kg apples and 7kg pears = £12.701 kg pear costs £1.307 kg pear costs £(1.30×7)=£9.12 kg apples costs £(12.70-9.1)=£3.61kg apples cost £(3.6÷2)=£1.8

Answer:

18.15

Step-by-step explanation:

55% = 55/100

33 = 33/1

33/1 x 55/100

33 x 55 = 1815

1 x 100 = 100

1815/100 = 18.15

Answer: -1

Step-by-step explanation:

Add 35 to both sides

Divide both sides by 5

120/4=30

Step-by-step explanation:

Answer:

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Answer:

0.69

Step-by-step explanation:

Hope this helps..

Answer:

9, 12,15

Step-by-step explanation:

a^2+b^2=c^2

9^2+12^2=15^2

81+144=225

since the powers are same, ignore 'em , and let's calculate the bases.

-16.(1/2)

-8.1 (upon cancellation)

ans = -8

hope it helps...!!!

Answer:

He Melanie ,  use SOH  CAH  TOA to remember the trig functions

Step-by-step explanation:

for 14 they hyp = 22 and we know one angle of 45°,  we also know that the triangle has a right angle or 90°  and by inspection we can tell that the other angle is also going to be 45°   so we know X and Y will be the same length, is why this is a good observation.  

Use one of the trig functions with H in it b/c you know Hyp is 22,  so,  

SOH  =  Sin(Θ)= Opp / Hyp  

Sin(45) = Opp / 22

Sin(45) * 22 = Opp

[tex]\sqrt{2}[/tex] / 2  * 22 = opp

11*[tex]\sqrt{2}[/tex] = opp     is the exact answer,   if  you would like some decimal places, it's 7.7781 units,  both X and Y

for 15  we can use SOH again for the bigger triangle.  we know the Hyp is 24 and the angle is 30°

Sin(30) = Opp / 24

Sin(30) *24 = Opp

12 = Opp         ( Because I know Sin(30)  = 1/2 )

Opp is the upright between the two triangles

Use CAH   Cos(Θ) = Adj / Hyp

Cos(30) = Adj / 24

Cos(30) * 24 = Adj

[tex]\sqrt{3}[/tex] /2 *24 =Adj

12[tex]\sqrt{3}[/tex] = Adj

Z = 12[tex]\sqrt{3}[/tex]   or if you want some decimals 20.7846

Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths

then

Y = 12

You could use SOH or CAH  to find the Hyp but, lets just resort to Pythagoras,  and use  his formula to find Hyp

Hyp = [tex]\sqrt{12^{2} +12^{2} }[/tex]

Hyp = [tex]\sqrt{288}[/tex]

hyp = 16.97

X = 16.97

:)

Step-by-step explanation:

yes.

the domain defines the valid x values, the range defines the valid y values.

the given relation assigns every x value exactly one y value.

so, it is a function and could therefore represent g.

Answer:

400 entries (i think that's the answer)

Answer:

the answer is 980 hope this helps

Answer:

A

Step-by-step explanation:

Add the lengths together then multiply by 5 times

Answer:

820

Step-by-step explanation:

(2×58) = 116

(4×113) = 452

158+116+452+94= 820

Answer:

820

Step-by-step explanation:

First, I multiplied the ones in parenthesis and the I added 158 then I added 94.

How to help you know what to do first. PEMDAS!!

P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

That is the order you should do those kind of problems, so just remember PEMDAS!!!!!! I hope this helped!!

Using the proportions in the table, is the sample proportion an unbiased estimator?

Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion.

Mean of sample proportions = (0 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 1 + 1 + 1)/10 = 0.6

This is equal to the population proportion. Hence,

Option B is correct.

A sample proportion is a portion of the sample that corresponds to a predetermined confidence level or a confidence interval, where the confidence level represents the confidence or probability percentage for a given point, as opposed to a sample mean, which is calculated by taking the arithmetic mean of all the values of a given sample.

Read more about mean here:

https://brainly.com/question/1136789

#SPJ1

Answer:

They will need √161 feet, or about 12.69 feet of fencing. √161 is irrational because 161 is not a perfect square.

Step-by-step explanation:

[tex] {8}^{2} + {x}^{2} = {15}^{2} [/tex]

[tex]64 + {x}^{2} = 225[/tex]

[tex] {x}^{2} = 161[/tex]

[tex]x = \sqrt{161} = 12.69[/tex]

Answer:

A

Step-by-step explanation:

Shift the bottom trinomial to where like terms match up where it looks like this.

2x²+5x+4

5x²+8x

To make it easier to understand add a placeholder +0 to the trinomial so everything matches up so it looks

like this.

2x²+5x+4

5x²+8x+0

Finally, add like terms and you should end up with this. 7x²+13x+4

Answer:

Answer A is correct

Step-by-step explanation:

Formula to find the volume of a cylinder is :

Volume = π r² h

Given that,

radius ⇒ 8 units

height ⇒ 7 units

Let us find it now.

Volume =  π r² h

Volume = π × 8 × 8 × 7

Volume = π × 64 × 7

Volume = π × 448

Volume = 448 π units³

Answer:

[tex]y=-5x+22[/tex]

Step-by-step explanation:

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope (m) of the line that is perpendicular to [tex]y=\dfrac{1}{5}x-3[/tex] is:

[tex]\begin{aligned}\implies m \cdot \dfrac{1}{5} & =-1\\m & =-5\end{aligned}[/tex]

Using the point-slope form of a linear equation, with the given point (4, 2) and the calculated slope of -5:

[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\implies y-2 & = -5(x-4)\\y-2 & = -5x+20\\y & = -5x+22\end{aligned}[/tex]

Therefore, the equation of a line that passes through the point (4, 2) and is perpendicular to the line [tex]y=\dfrac{1}{5}x-3[/tex] is:

[tex]\Large \boxed{y=-5x+22}[/tex]

Answer:

98

the answer is 98 but I just guessed

Answer:

see in picture

Step-by-step explanation:

Answer: C=2πr

Step-by-step explanation:

Answer:

9 cm.

Step-by-step explanation:

We are given that the area of a circle is 81π cm2. 81 π c m 2 . Hence the radius of the given circle is 9 cm.