4x - 7y = 2
X = -y - 5
Systems of equations using substitution

Given:

Three different integer addition expressions equal −5.

To find:

The three different integer addition expressions.

Solution:

We know that 0 is the identity element under addition. It means if we add 0 to a number we get the same number.

[tex](-5)+0=-5[/tex]

One expression is [tex](-5)+0[/tex].

The other expression are:

[tex](-6)+1=-5[/tex]

[tex](-7)+2=-5[/tex]

Therefore, the three different integer addition expressions that are equal to -5 are [tex](-5)+0,(-6)+1,(-7)+2[/tex].

Answer:

tangent 59° = Tree height / 45 feet

Tree Height = 1.6643 * 45

Tree Height = 74.8935 Feet

Step-by-step explanation:

3x - 2y = 8 +

===》 46x = 16

43x + 2y = 8

x = 16/46

x = 8/23

______________________________

3x - 2y = 8

3(8/23) - 2y = 8

24/23 - 2y = 8

2y = 24/23 - 8

y = 12/23 - 4

y = 12/23 - 92/23

y = - 80/23

Answer:

180

Step-by-step explanation:

[tex] sa = 2( \frac{1}{2} )(6)(4) + 10(5 + 5 + 6)[/tex]

[tex] = 24 + 10(16)[/tex]

= [tex]24 + 160[/tex]

[tex]180[/tex]

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hope it helps...

have a great day! ! !

Answer: total surface area would be 28.3310501 cm2 or 28.3 cm2 rounded to the nearest tenth

Answer:

Jaya can afford to rent a car 4 days while staying within her budget.

Step-by-step explanation:

The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:

53.75x+0.12y≤230, where:

x is the number of days the car is rented

y is the number of miles driven

As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:

53.75x+0.12(125)≤230

53.75x+15≤230

53.75x≤230-15

53.75x≤215

x≤215/53.75

x≤4

According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.

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Answer:

Step-by-step explanation:

First you need the third angle (C).

<C + 89  + 45 = 180       All triangles = 180 degrees. Combine the left terms.

<C + 134 = 180               Subtract 134 from both sides

<C = 180 - 134

<C = 46

Next, Let BA = x

x/Sin(46) = 15/Sin(89)

x = 15*sin(46) / Sin(89)

Sin(46) = 0.7193

Sin(89) = 0.9998

x = 0.7193 * 15 / 0.9998

x = 10.7911

Note

When you are studying this material, you should note 2 things.

Answer:

Y= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of Restaurants (PV)= 2,000

Growth rate (g)= 3%

To calculate the number of restaurants after t years, we need to use the following formula:

Y= PV*(1 + g)^t

For example, for 10 years:

Y= 2,000*(1.03^10)

Y= 2,688

Answer:

The fourth one! (2,-8).

Answer:

wnnsnsmamamamamas

Step-by-step explanation:

jsmallaam By sna

Answer:

I hope you understand what I wrote

Answer:

Oasis idiot and a good time in the day before

Answer:

you know that the coefficient of x is one so to find x the real equation is x+27= -12 so u cross over 27 to the right it will be -12-27=-39.

Answer:

[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]

Step-by-step explanation:

[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]

Answer:

y = 1/x-5 + 2

Step-by-step explanation:

Adding 2 will shift the graph up 2 units

Adding numbers to the x will shift the graph left, so subtract 5 to shift the graph to the right

Answer:

200/120 = 5/3

5/3 x 3 = 5 oz

you can also do it this way:

3/120 = x/200

x = 600/120 = 5

Answer:

A, B, D

Step-by-step explanation:

Given that :

24 / 18 = 4 / 3 = 1.333

Comparing the options solutions for the options given :

3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333

4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333

5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18

8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333

Hence, expressions which are equal are :

A, B and D

Answer:

18m i thnk

Step-by-step explanation:

Answer:

A . a = 3/5

Step-by-step explanation:

- 2/5 + a = 1/5

Add 2/5 to each side

-2/5 + a + 2/5 = 1/5 + 2/5

a = 3/5

Therefore a = 3/5

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

0,8

Step-by-step explanation:

(-x-2)(x-4)=y

To find the x-intercept, substitute in 0 for y and solve for x. To find y-intercept, substitiue in 0 for x and solve for y.

(-0-2)(0-4)=y

(-2)(-4)=8

y=8

0,8

Answer:

1 1/2 mile or 6/4 mile

Step-by-step explanation:

Every half hour he rides 3/4

Just multiply 3/4 by 2 which equals 6/4 or 1 1/2

Answer:

formula: A= a+b/2 times height

So 12+8=20/2=10x11=110

Step-by-step explanation:

Answer:

c sorry if im wrong

Step-by-step explanation:

soryy if im wrong please forgive me if i am

Answer:

D.the diagonal bisect each other.Since bisectors divide the diagonals equally in two parts.

Answer(s):

[tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1 \\ y = 4cos\:x - 1[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4sin\:x - 1,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, 3],[/tex] from there to [tex]\displaystyle [2\pi, 3],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts horisontally, the midline will ALWAYS follow.

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