True/False
Determine whether the following statements define perpendicular lines?

Two lines that form four congruent angles at their intersection

Two lines that form a pair of right angles at their intersection

A pair of lines that form two pairs of complementary angles at their intersection

A pair of lines that meet to form a pair of supplementary angles at their intersection

Answer:

The answer is y=2x+2

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

75% of 96 = 0.75 x 96

                 = 72

Answer:

6x + 2 is your answer I THINK

Answer:

2nd one is 4.48

Step-by-step explanation:

Answer:

4 soda's and 4 candy's with 1 dollar left over

Answer:   [tex]\huge\boxed{\ m=7 }[/tex]

Step-by-step explanation: We can break this problem down to understand it.  Let the number be m. Three times the number 'm ' is 3.m or 3m. 3 ( m ) - 6 = 15. 3m -6 = 15 add 6 to both sides; 3m -6 + 6 = 15 + 6 3m = 21 dividing both the sides by 3 ,and  we get; 3m /3 = 21 / 3 m=7 .

Best of Luck!

Answer:y=7(2)^x

Step-by-step explanation:

The exponential function in the form y=ab^x that goes through the given points is f(x) = 7(2)ˣ.

Exponential functions are functions where the independent variable, x is in the exponent.

The general form of exponential function is,

f(x) = abˣ

The function passes through (0,7) and (9, 3584).

Substituting (0, 7),

7 = a b⁰

7 = a  (since b⁰ = 1)

So, a = 7

Function is f(x) = 7bˣ

Now Substituting (9, 3584),

3584 = 7 b⁹

b⁹ = 3584 / 7

b⁹ = 512

b⁹ = 2⁹

b = 2

So the function is f(x) = 7(2)ˣ

Hence the function is f(x) = 7(2)ˣ.

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Answer:

8 boxes of tissues

5 bags of cough drops

Step-by-step explanation:

You need to write a system of equations.

x = number of tissue boxes

y = number of cough drop bags

x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.

So, your first equation is

x + y = 13

Then, you need to write the second equation.

(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]

That's a lot to read, so here's the equation simplified!

1.69x + 1.19y = 19.47

Now, you have two equations:

x + y = 13

1.69x + 1.19y = 19.47

I would solve with the substitution method.

the first equation can be changed to x = 13 - y by subtracting y from both sides.

Then, your two equations are:

x = 13 - y

1.69x + 1.19y = 19.47

Now, you can plug in that value of x into the second equation!

1.69(13 - y) + 1.19y = 19.47

21.97 - 1.69y + 1.19y = 19.47

subtract 21.97 from both sides

-1.69y + 1.19y = -2.5

Add the y values

-0.5y = -2.5

divide both sides by -0.5

so, y equals 5 bags of cough drops

now that you know what y equals, plug it back into your original equation to find x!

x + y = 13

plug in y

x + 5 = 13

x = 8

so, x = 8 boxes of tissues

Hope this helps! Let me know if you have any questions!

Answer:

Length of side QP = 5

Answer:

Step-by-step explanation:

Answer:

the number of visitors purchased guide books is 330 visitors

Step-by-step explanation:

The computation of the number of visitors purchased guide books is shown below;

= Number of visitors × visitors purchased guide books

= 550 × 3 ÷ 5

= 330

Hence, the number of visitors purchased guide books is 330 visitors

Answer:

y=3.5x

Step-by-step explanation:

Since when x is 0 when y is 0, there is no y-intercept. The ratio with the other values gives the equation y=3.5x, because y is 3.5 times larger than x.

Answer:

sorry I don't know

Step-by-step explanation:

hdkajdbdbsjjsvdchksbevd

Answer: 6

Step-by-step explanation: the table is going down by 4 so the next number is 6

Answer:

2, 5, 9

Step-by-step explanation:

The two shorter sides added together must be longer than the third side or they cannot make a triangle.

Answer:

C is the answer

Step-by-step explanation:

The equation of the red graph is [tex]x^{2} +2[/tex].

The equation of the parabola whose vertex is (h, k) is

[tex]y = a(x-h)^{2} + k[/tex]

According to the given question.

We have a graph for the function f(x) and g(x).

[tex]f(x) =x^{2}[/tex]..(i)

⇒ the equation of parabola whose vertex is (0, 0)

Since, we know the standard form of the  equation of parabola is

[tex]y = a(x-h)^{2} +k[/tex]

Substitute h = 0 and k = 0 in the above equation.

⇒ [tex]y = a(x-0)^{2} +0[/tex]

⇒ [tex]y = ax^{2}[/tex]..(ii)                          (where, y = f(x))

On comparing the first two equations we get a = 1.

From the graph we can see that g(x) is a equation of parabola, whose vertex is (0, 2).

Therefore, the equation for red graph is given by

[tex]g(x) =a(x-0)^{2} + 2[/tex]

[tex]g(x) = 1x^{2} +2[/tex]                 (because a = 1)

⇒ [tex]g(x) = x^{2} +2[/tex]

Hence, option c is correct.

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Answer:

the first and third one

Step-by-step explanation:

those are obtuse triangles because they open wide

Answer: your answer would be A

Step-by-step explanation:

When the product of the slopes of two lines is -1.

The lines are perpendicular.

When the product of the slopes of two lines is 1.

The lines are on the same line.

When the slopes of two lines are the same.

The lines are parallel.

slope of AB x slope of CD = 1

The lines are on the same line.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

A (3,5), B(−2,7), C(10,5), D(6,15).

When the product of the slopes of two lines is -1.

The lines are perpendicular.

When the product of the slopes of two lines is 1.

The lines are on the same line.

When the slopes of two lines are the same.

The lines are parallel.

The line AB.

Slope = (7 - 5) / (-2 - 3) = 2 / -5 = -2/5

The line CD.

Slope = (15 - 5) / (6 - 10) = 10 / -4 = -5/2

Now,

slope of AB x slope of CD.

= -2/5 x -5/2

= 1

This means,

The lines are on the same line.

Thus,

slope of AB x slope of CD = 1

The lines are on the same line.

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Answer:

There will be 10 cats in 5 years

Step-by-step explanation:

Since x means the number of years, x = 5

According to PEMDAS, we take care of the exponents first

So the exponent is x, so the exponent is actually 5

So we apply that to 0.28

0.28^5 = 0.002

0.002 x 5719 = 9.84

But... that would be impossible and just plain creepy if there were 9.84 cats lol

So I rounded it to 10 cats

Answer:

[tex]\Large\boxed{\sf 10 \ cats}[/tex]

Step-by-step explanation:

[tex]f(x) = 5719(0.28)^x[/tex]

[tex]\sf Where \ x=5[/tex]

[tex]f(5) = 5719(0.28)^5=10[/tex]

Answer:

4/15

Step-by-step explanation:

3/5-1/3

9-5/15

=4/15

I ain't really sure

Answer:

[tex]20x^{2}[/tex]-7x-6

Step-by-step explanation:

Given :

▪︎Measure of ∠G = 64°

▪︎△GAM is an isosceles triangle.

We know that :

▪︎The opposite base angles of an isosceles triangle are always equal.

Let the measure of ∠A be x.

Then, the measure of ∠M will also be x.

Which means :

[tex] = \tt64 + x + x = 180[/tex]

[tex] = \tt64 + 2x = 180[/tex]

[tex] = \tt2x = 180 - 64[/tex]

[tex] =\tt 2x = 116[/tex]

[tex] =\tt x = \frac{116}{2} [/tex]

[tex] = \tt \: x = 58[/tex]

Since the sum of all these angles is equivalent to 180°[64+58+58=180], we can conclude that we have found out the correct measure of each of these angles.

Measure of ∠A = 58°

Measure of ∠M = 58°

Answer:

6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

So we know that:

5x-10 = 20

5x=20+10

5x=30

x=6

hope this helps :)

Answer:

Step-by-step explanation:

point-slope equation of the line: y+1 = -(x-3)

rearrange to solve for y:

y+1 = -x+3

y = -x + 2   slope-intercept form

Answer:

y = -x + 2

Step-by-step explanation:

We are given that a line has a slope of -1 and passes through the point (3, -1)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept

As we are already given the slope, we can immediately plug its value into y=mx+b.

Replace m with -1 in y=mx+b.

y = -x + b (there's no need to write -1 in front of x. If -1 is the coefficient in front of a variable, just writing a minus sign in front of the variable is enough).

Now we need to find b.

As the equation passes through the point (3, -1), we can use it to help solve for b.

Substitute 3 as x and -1 as y.

-1 = -3 + b
Add 3 to both sides

2 = b

Substitute 2 as b in the equation so far.

y = -x + 2

Topic: finding the equation of the line (in slope-intercept form).

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Answer:

[tex] x = \sqrt 5[/tex]

Step-by-step explanation:

On solving by Pythagoras theorem:

(Going in counterclockwise direction)

For bottom most triangle :

Length of Hypotenuse [tex] = \sqrt {1^2 +1^2} =\sqrt {1+1}=\sqrt 2[/tex]

The for second triangle :

Length of Hypotenuse [tex] = \sqrt {(\sqrt 2) ^2 +1^2} =\sqrt {2+1}=\sqrt 3[/tex]

The for third triangle :

Length of Hypotenuse [tex] = \sqrt {(\sqrt 3) ^2 +1^2} =\sqrt {3+1}=\sqrt 4 = 2[/tex]

The for fourth triangle :

x [tex] = \sqrt {(2) ^2 +1^2} =\sqrt {4+1}=\sqrt 5 [/tex]

The x value for the given partial spiral is √5 units.

We need to solve for x in the partial spiral given.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the right triangle 1:

Let the hypotenuse be a.

So, a²=1²+1²

⇒a=√2

From the right triangle 2:

Let the hypotenuse be b.

So, b²=(√2)²+1²

⇒b=√3

From the right triangle 3:

Let the hypotenuse be c.

So, c²=(√3)²+1²

⇒b=√4=2

From the right triangle 2:

The hypotenuse=x

So, x²=2²+1²

⇒x=√5

Therefore, the x value for the given partial spiral is √5 units.

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Answer:

2x=10

Step-by-step explanation:

Answer:

28.3

Step-by-step explanation:

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Answer:

18.85 cm

Step-by-step explanation: