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3 years ago

I am very confused and don't know where to start!

Mathematics

1 answer:

stealth61 [152]3 years ago

5 0

Well, lets start with #3!
<1 is equivalent to <3 because they are vertical angles.
This means that <2 and <4 are congruent because they are vertical angles. We know that a straight line is 180 degrees. So, <1 and <2 added together will equal 180, therefore, <2 is ___________

Since the two lines are parallel, any angle on the other side is congruent, as long as that angle is in the same place as the other. So, we can see that <1 and <7 are in the same place, just moved down. So, <7 is __________.

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Use the table Future Value of an Ordinary Annuity for $1.00 per Period on p. 37 to complete the table below.

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3 years ago

Before a baseball game, a hot dog stand sold 9 hot dogs. During the game, the stand sold some hot dogs. The hot dog stand sold a

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6 0

3 years ago

What is the answer to 7 or 8???

Eddi Din [679]

Answer:

7. parallel: k = 3

perpendicular: k = -4/3

8. $1300

Step-by-step explanation:

Rewrite each equation as the slope-intercept form of a linear equation:

y = mx + b (where m is the slope and b is the y-intercept)

8y = 12x + 6

⇒ $y=\dfrac32x+\dfrac34$

4y = k(2x + 10)

⇒ 4y = 2kx + 10k

⇒ $y = \dfrac12kx + \dfrac52k$

If the graphs are parallel their slopes will be the same.

$\implies \dfrac32=\dfrac12k$

$\implies k=3$

If the graphs are perpendicular then the product of their slopes will be -1.

$\implies \dfrac32 \times \dfrac12k=-1$

$\implies \dfrac12k=-\dfrac23$

$\implies k=-\dfrac43$

8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).

Choose 2 ordered pairs from the table: (10, 110) and (20, 195)

Let $(x_1,y_1)$ = (10, 110)

Let $(x_2,y_2)$ = (20, 195)

Use the slope formula to find the slope m:

$\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}$

Now use the point-slope form of linear equation:

$\implies y-y_1=m(x-x_1)$

$\implies y-110=\dfrac{17}{2}(x-10)$

$\implies y=\dfrac{17}{2}x+25$

Substitute x = 150 into the equation and solve for y:

$\implies y=\dfrac{17}{2}(150)+25=1300$

Therefore, the total cost of ordereing 150 mugs is $1300

5 0

2 years ago

Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14? (negative 5, 1)

Anettt [7]

Answer:

B. $(1,-5)$

Step-by-step explanation:

We have been given a system of equations. We are asked to choose the ordered par that is the solution to the given system.

$y=-7x+2...(1)$

$y=9x-14...(2)$

To solve our given system, we will equate both equations as:

$9x-14=-7x+2$

Combine like terms:

$9x+7x-14+14=-7x+7x+2+14$

$16x=16$

$x=\frac{16}{16}=1$

Upon substituting $x=1$ in equation (1), we will get:

$y=-7(1)+2\\\\y=-7+2\\\\y=-5$

Therefore, the ordered pair $(1,-5)$ is the solution of the given system and option B is the correct choice.

7 0

3 years ago

Read 2 more answers

What is the slope of the line tangent to the curve y+2 = (x^2/2) - 2siny at the point (2,0)?

Aleksandr-060686 [28]

Implicit differentiation
take the deritivive with respect to x

first
y+2=(1/2)(x^2)-2sin(y)
take deritivitive
dy/dx+0=1/2(2x)-2(cosy)dy/dx
dy/dx=x-2cosy(dy/dx)
add 2cosy(dy/dx) to both sides
dy/dx+2cosy(dy/dx) =x
undistribute dy/dx
dy/dx(1+2cos(y))=x
divide both sides by 1+2cos(y)
$\frac{dy}{dx}= \frac{x}{1+2cos(y)}$
at (2,0)
x=2
y=0

$\frac{dy}{dx}= \frac{2}{1+2cos(0)}$
$\frac{dy}{dx}= \frac{2}{1+2(1)}$
$\frac{dy}{dx}= \frac{2}{1+2}$
$\frac{dy}{dx}= \frac{2}{3}$
the slope is 2/3

6 0

3 years ago