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Crazy boy [7]
3 years ago
7

Solve for x and y by substitution 2x+5y=7 -2x+4y=15

Mathematics
1 answer:
dusya [7]3 years ago
7 0
I first found x using the second equation :

-2x+4y=15
-2x = -4y+15
x =2y-7.5

Then, I substituted this value into the OTHER equation :

2x+5y=7
2(2y-7.5)+5y=7
4y-15+5y=7
9y=22
y=2.444

So you have you y value. Now, input this value into any one of the other equations (it doesn't matter which) to find x.

-2x+4y=15
-2x+4(2.444)=15
-2x+9.776=15
-2x=5.224
x=-2.612.

So the solution for this system of functions is (-2.612, 2.444).
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Determine if the two figures are congruent and explain your answer using transformations.
IRISSAK [1]

Answer:

Comparing each pair of lines,

AB and EF,

BC and FG,

CD and GH,

DA and HE.

For, AB and EF,

If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.

Also, we can use the formula, for the distance between two points on a coordinate plane,

,

As we can see in the image,

A = (-1, 1),

B = (-3, 2),

C = (-4, 4),

D = (-2, 6),

E = (2, 0),

F = (4, 1),

G = (5, 3),

H = (3, 5),

Solving using the formula,

AB = EF = √5,

BC = FG = √5,

CD = GH = √8,

DA = HE = √26,

Therefore, the length of all the sides of the polygon are the same,

Hence, the two figures are congruent.

Step-by-step explanation:

7 0
2 years ago
I need help on this
Alisiya [41]
2. rhombus

3. rectangle

4. parallelogram 

5.trapezoid

6.quadrilateral


6 0
3 years ago
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Can anybody help me? No links please lol
sleet_krkn [62]

Answer:

60% OF 6 = 3.6

         ↓

OF means multiplicatin

60% will turn into a decimal which is

↓

0.6 x 6 = 3.6 :)

Hope this helped!

-Maddison <3

Step-by-step explanation:

7 0
3 years ago
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What is the answer? :D​
den301095 [7]

Answer:

6/9, 12/18 (just 6 then 12)

Step-by-step explanation:

Please mark brainlest

8 0
2 years ago
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Evaluate the piece wise function for the given values of x by matching the domain values to the range values.
Ugo [173]

Answer:

- 5 (x = 1)

Step-by-step explanation:

When x equals 1, it fits in the piece where x < 3. The equation for that interval is -x - 4. We can substitute 1 into that equation to get:

- 1 - 4

- 5

8 0
3 years ago
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