solve the system of equations ​

Answer:

Scalene Triangle

Step-by-step explanation:

To classify the triangle we have to find the lengths of each side.

Side AB

d= √  (−1−(−3))2+(4−2)2√  

d= √  (2)2+(2)2

d= √  4+4

d=√  8

d=2.828427 approximately 2.8

Side BC

d= √  (3−(−1))2+(−4−4)2

d= √  (4)2+(−8)2

d= √  16+64

d=8–√0

d=8.944272 approximately 8.9

Side AC

d=  √  (3−(−3))2+(−4−2)2

d=  √  (6)2+(−6)2

d=  √  36+36

d=  √  7 2

d=8.485281 approximately 8.5

Since no sides are the same length, it is a scalene triangle.

I hope this helps!

Answer:

The answer is y = -3x + 7.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

➊ First: We are going to be solving for the slope.

[tex]m = \frac{ - 8 - 1}{5 - 2} = \frac{ - 9}{ \: \: \: 3} = - 3[/tex]

➋Second: We find the y-intercept.

[tex]y = mx + b \\ 1 = - 3(2) + b \\ 1 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: }{7 = b}[/tex]

➌Third: Plug in.

[tex]y = - 3x + 7[/tex]

Step-by-step explanation:

-7x-36=20-3x

-36-20=-3x+7x

-56=4x

-56/4=X

-14=X

X=-14 answer

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 [tex]\times[/tex] 2 = $6.5

Price of two drink = $1.85 [tex]\times[/tex] 2 = $3.70

Price of two bags of popcorn = $0.99 [tex]\times[/tex] 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

Answer:

tan x = 3/4

Step-by-step explanation:

Tan = opposite over adjacent

then simplify

6/8 = 3/4

Answer:

[tex]x =6[/tex]

[tex]y=6\cdot \sqrt{2}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos 45^\circ=\frac{6}{y}[/tex]

Solving for y:

[tex]\displaystyle y=\frac{6}{\cos 45^\circ}[/tex]

[tex]\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}[/tex]

Substituting:

[tex]\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}[/tex]

[tex]y=6\cdot \sqrt{2}[/tex]

Now use the tangent ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 45^\circ=\frac{x}{6}[/tex]

Solving for x:

[tex]x=6\cdot\tan 45^\circ[/tex]

[tex]\tan 45^\circ=1[/tex]

Substituting:

[tex]x=6\cdot 1[/tex]

[tex]x =6[/tex]

Answer:

[tex]x =6[/tex]

[tex]y=6\cdot \sqrt{2}[/tex]

Answer:

(4)+9= P+ (13)

Step-by-step explanation:

Since 13=13, we have proven the Associative Property of Addition using the numbers a=P, b=4, and c=9

Answer:

It would take 13 weeks to make 175$ for the trip.

Step-by-step explanation:

If you take 175 divided by 14 you get 12.5, but since you can't do 12.5 weeks you'd round the number of weeks up to 13.

Answer:

last option. absolute value doesnt matter whether it is positive or negative

Step-by-step explanation:

Answer:

CAN NOT

Step-by-step explanation:

The rule is that for three sides (say a, b, c) to firm a triangle, the sum of any two side must be greater than the third side.

Since 10+3 < 19, a triangle can not be formed

Answer:

x = 19.42

Step-by-step explanation:

8²+x²=21²

64+x²=441

-64      -64

x²=377

x=19.41648784

rounded is 19.42

Answer:

$13.30

Step-by-step explanation:

The discount itself would be $6.65 because 1/3 time $19.95 equals $6.65

then to find the total price after discount you subtract,

$19.95 minus $6.65

final answer is $13.30

Answer:

36.00$

Step-by-step explanation:

Saved 9$

Answer:

9.00

Step-by-step explanation:

9.00 is taken off the original price

45-9=36

Answer:

i don't think it's right

Step-by-step explanation:

Answer:

The answer to the question provided is neither.

-

Step-by-step explanation:

☆We need to find the y value for the second equation first.

[tex] - 2x + 10y = 5 \: \: \: \: \: \: \\ \frac{ + 2x \: \: \: \: \: \: \: \: = + 2x}{ \frac{10y}{10} = \frac{2x + 5}{10} } \\ \\ y = \frac{1}{5} x + \frac{1}{2} [/tex]

☆Its neither because the slopes arent the same and also isn't a negative reciprocal.

Answer:

d. 45%

Step-by-step explanation:

According to the frequency table there are 30 sudents who like rock in grades 9-10 and 25 students that like rock and are in grades 11-12.

25 ÷ 55 = n ÷ 100          

25 · 100 = 55 · n      

2500 ÷ 55 = n         n  = 45.454545        n = 45%

55 is the total amount of students that like rock

25 is the total amount of students that like rock in grades 11-12

100 is the total percentage

Answer: d) 5/7

Step-by-step explanation:

10 out of 35 of the students are girls. The number of boys is therefore:

= 35 - 10

= 25 boys

Probability that the winner is a boy is:

= 25/35

Take that fraction to the simplest by dividing both by 5:

= 5/7

Answer:

x = 26

Step-by-step explanation:

1. Information

One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.

2. Base of the rectangle

Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.

3. Base of the triangle

Use the Pythagorean theorem;

[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]

Substitute in the given value and solve

[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]

4. Finding x

There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be

x = base_of_triangle + base_of_rectagle + base_of_triangle

x = 8 + 10 + 8

x = 26

Answer:

I would say 800, sorry if it was wrong

Step-by-step explanation:

She ran the most on 800

Answer:

It is c you are subtracting for the 4 pack of muffins

Answer:

C

Step-by-step explanation:

Assuming that m represents the cost, the correct answer would be C because you are buying 4 packs of muffins and you are subtracting 2 dollars. This is very hard to explain, it's easier to explain with numbers.

Let's assume that each pack of muffins is 2 dollars. Since we are buying 4 packs, we would multiply the number of packs (4) by the amount each pack costs (2). Then since we have a 2 dollar coupon, we subtract two dollars off of the price, so the equation would be 4(2)-2 where 2 represents m.

It wouldn't make sense to add two dollars because we have a coupon, so we're saving money, not adding money.

and it wouldn't make sense for the coupon to be saving more money by how much the cost of the muffin is, otherwise we would get it for free!!

The only logical answer is C because we are saving money and 4m represents the amount of money we are spending on the muffins.

Answer: the third one

Step-by-step explanation:Hope this is correct

Answer:

0.3 tons :)

Step-by-step explanation:

9600 ounces =0.3 tons

Answer:

3/5

Step-by-step explanation:

The equation of a line is written as

y = mx + b where

m is the slope

b is the y-intercept.

We put the given equation above in that form

10x + 6y = - 84

6y = -10x - 84

Divide both sides by 6

y = -10x/6 - 84/6

y = -5x/3 - 14

y = -5/3x - 14

The slope of this line is -5/3

But we are told that: the slope of the line is perpendicular to the line

Hence: we find the reciprocal of , -5/3

This is = 3/5

Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5

Answer:

4120 feets

Step-by-step explanation:

Given that:

Starting elevation = 0 feets

Elevation gained on first day = 2150 feets

Total elevation at the end of day 1 = 0 + 2150 = 2150 feets

Elevation gained on second day = 1970 feets

Total elevation at the end of day 2 = 2150 + 1970 = 4120 feets

Elevation at the end of 3 rd day = 0 feets

Hence, elevation lost on day 3 ;

(4120 - 0) = 4120 feets

Answer:

61.08

Step-by-step explanation:

you could've used a calculator

Answer:

61.08

Step-by-step explanation:

add 33.68

    + 27.4

     ______

         61.08

hope this helps!!!

Answer:

im not sure...cuz it says 50%

its either 11.625 or 5.8125

it is the 1st one if the question means all average but if not PROBABLY only PROBABLY the right one

Step-by-step explanation:

I added all the hours together and divided it by 24 to get 11.625 but if the ans is 5.1825 ill divide 11.625 over 2

Answer:

x=45/7

Step-by-step explanation:

=6x+42+x+3

6x+x+42+3

7x+45

x=45/7