How many questions were on Victoria test

The length of the leg is 9.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From the triangle,

S = length of the leg.

Now,

Applying the Pythagorean theorem.

√18² = 3² + s²

18 = 9 + s²

s² = 18 - 9

s² = 9

s = 9

Thus,

The length of the leg is 9.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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Answer:

not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3

answer is

B. 6√2

hope this helps!

Answer:

35 is correct

Step-by-step explanation:

hope this helps.

Answer:

35°

Step-by-step explanation:

Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.

Answer:

105mm

Step-by-step explanation:

To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall

Number of days in April: 30

Average daily rainfall: 3.5mm

Rainfall during the month = 30 * 3.5 = 105mm

Answer:

option  C

Step-by-step explanation:

We will take 2 coordinates from the graph and Find the equation of the line.

Let the coordinates be : ( 0, 1) and (1, 3)

step 1 : find slope

[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]

Step 2 : equation of the line :

[tex]( y - y_1) = m (x- x_1)[/tex]

[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]

Therefore, y = 2x + 1 represent the equation of the line.

Answer:

C

Step-by-step explanation:

You need to solve for y = mx + b

You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have

y = mx + 1 so far.

Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.

The clearest point I can see is (-2,-3) which means that

x = -2

y = - 3

Put that into the equation and solve for m.

-3 = m(-2) + 1          Subtract 1 from both sides

-3-1 = m(-2)             Combine

-4 = -2 m                 Divide both sides by - 2

-4/-2 = m

m = 2

Answer

only a and c are real choices. That's because m = 2 in both cases.

The equation we got is y = 2x + 1 which is c

Answer:

[tex]\frac{m^{3}n+5 }{m^{2}n^{2} }[/tex]

Explanation :

is down below in the picture

Please give me brainiest!!

Answer:

15, 9, 3n

Step-by-step explanation:

Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls

Answer:

What math game is this?

Oh and this guy is correct.

Step-by-step explanation:

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

Answer:

m = 1     c = -8

Step-by-step explanation:

[tex]\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Answer:

-6 and -1

Step-by-step explanation:

The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]

Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]

It's a quadratic equation

Thus, let us calculate the discriminant Δ

Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]

the discriminant is greater than 0, so the equation has two solutions

[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex]  or  [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]

the excluded values are -6 and -1

Answer:

x = 25

Step-by-step explanation:

Correct question

In a right triangle Sin (40-x)=cos(3x) what is the value of x

Since Sin theta = Cos(90-theta)

Sin (40-x) = Sin(90-3x)

40 - x = 90 - 3x

-x+3x = 90 - 40

2x = 50

x = 25

Hence the value of x is 25

Answer:

-10

Step-by-step explanation:

y-5y+2

=3-5 x 3+2

Using the rule of BODMAS

=3-15+2

=3-13

= -10

Answer:

0.013

I think.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

So there are two things that must be remembered.

The radius is half of the diamater. It is the distance from the side of a circle to its center.

The diamater is two times the radius. It is the distance from one side of the circle to the opposite side of the circle.

In this case, we know the radius is 4.

The radius is half of the diamamter, or the diamater is two times the radius.

This can be though of as:

2r=d

Or

1/2d=r

So lets plug 4 in for r:

2*4=d = 8=d

1/2d=4 = 2*1/2=4*2 = 1d=8

So using either of these formulas, we find d is equal to 8.

Hope this helps!

Answer:

1:26

Step-by-step explanation:

You can divide both sides by 2.

Answer:

20

Step-by-step explanation:

a²+b²=c²

25²-15²=b²

625-225=b²

400=b²

√400=√b²

20=b

Answer:

y=2

Step-by-step explanation:

3 = (y+7)/3

Multiply each side by 3

3*3 = (y+7)/3 *3

3*3 = y+7

9 = y+7

Subtract 7 from each side

9-7 = y+7-7

2 =y

Answer:

2 = y

Step-by-step explanation:

3 = y + 7 ÷ 3

multiply both side of equation by 3

3 × 3 = y + 7 ÷ 3 / 3

9 = y + 7

subtract 7 from both side

9 - 7 = y + 7 - 7

2 = y

Answer: 5 Units

Step-by-step explanation:

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].

The other parameters are:

[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]

Hence, the interval is:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

To learn more about the z-distribution, you can check https://brainly.com/question/25890103

Answer:

BC = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

Hope this helps u !!

Answer:

OA . -6

Step-by-step explanation:

correct me if I'm wrong

Answer:

S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36

E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15

Step-by-step explanation:

thats the answer

Answer:

0.76

or

-0.76

hope this helps

Answer:

Number of additional inches= x

Number of additional topping= y

Total cost= 8+1.5(x)+0.75(y)

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

hope it helps...

have a great day!!

Given the system of equations below:

[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]

The first equation is y-isolated so we can substitute in the second equation.

[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]

Use the distribution property to expand in and simplify.

[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]

The another method is to divide the second equation by 2.

[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]

Arrange in the form of y = mx+b.

[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

Hope this helps. Let me know if you have any doubts!

Answer:

its the 2nd one

hope that helps<3

Answer:

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Step-by-step explanation:

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