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raketka [301]
3 years ago
14

Solve the following system of equations for all three variables.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Answer:

Equation 1: x = 5 y/ 2 − 14  and  y = 2 x /5 + 28/5

Equation 2: y = 9 + 2 z/ 7   and  z = − 63 /2 + 7 y/ 2

Equation 3: y = 7 /3 − 2 z /3   and  z = 7/ 2 − 3 y /2

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The vertices of ABC are A (-5, 5), B (-2,5), C(-2,3).
bulgar [2K]

Answer:

It will be in the attachment below.

Step-by-step explanation:

Translating a vertex 3 units down and 4 units to the left means that the x coordinate is 4 less than before and the y is 3 less. So, subtract 4 from -5 to get -9; from -2 (twice) to get -6 (twice), and subtract 3 from 5 (twice) to get 2 (twice); from 3 to get 0. So, the new coordinates are (-9, 2), (-6, 2), and (-6, 0). The original shape is in red, and the translated shape is blue.

3 0
3 years ago
Find the measure of A as indicates in the picture.
mina [271]

Answer:

m∠A = 58°

Step-by-step explanation:

In ΔABC,

m∠BAC = (x + 63)°

m∠ABC = (x + 96)° [Vertically opposite angles]

m∠ACB = (180° - 149°)

             = 31°

By triangle sum theorem,

m∠ABC + m∠ACB + m∠BAC = 180°

(x + 96) + 31 + (x + 63) = 180°

2x + 190 = 180

2x = -10

x = -5

Therefore, measure angle A = (x + 63)

                                               = -5 + 63

                                               = 58°

5 0
3 years ago
WILL MARK BRAINLIEST
LekaFEV [45]
Suppose we have a generic equation of the form:
 ax ^ 2 + by ^ 2 + ax ^ 2 + cx + dy = f


 1) The first thing you must do to complete squares is to group similar terms of the form:
ax ^ 2 + cx + by ^ 2 + dy = f


 2) The second step is to complete the squares.

 3) The third step is factor the quadratic equation

 4) The fourth step is to identify the center and the radius

 Answer:
 
the first step in finding the center of the circle by completing the square is:
 
C group like terms
8 0
3 years ago
Help please<br> Please explain if possible.
RideAnS [48]
Answer:
12+(9+20)

(20+9)+12

9+(20+12)

(9+12)+20

Explanation:
The associative property of addition is saying that if three or more numbers are added, the answer won’t change if you add or move parentheses.

So if the question is 1+2+3, the answer will be the same even if you write it as (1+2)+3 or 1+(2+3) or 2+(1+3) and so on.
3 0
4 years ago
Gwen did 51 sit-ups on Wednesday, 68 sit-ups on Thursday, 85 sit-ups on Friday, and 102 sit-
sertanlavr [38]

Answer:

38

Step-by-step explanation:

38

8 0
4 years ago
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