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pishuonlain [190]
2 years ago
9

What is the solution to the system of equations below?

Mathematics
1 answer:
katen-ka-za [31]2 years ago
7 0

4x  - y =  - 5 \\  - 2x + y = 3

Solve the second equation for y

4x - y =  - 5 \\ y = 3 + 2x

Substitute the given value of y into the first equation

4x - (3 + 2x) =  - 5

Solve the equation for x

x =  - 1

Substitute the given value of x into the second equation

y = 3 + 2( - 1)

Solve the equation for y

y = 1

The possible solution of the system is the ordered pair (x,y)

(x,y) = ( - 1, 1)

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Please help (the question is in the attached image)
Alex73 [517]

Answer:

a.the length of midsegment of an equilateral triangle with side lengths of 12.5 cm.=12.5/2=6.25cm

b.

sinceUT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.

than AT=BT

3x+6=42-x

3x+x=42-6

x=36/4=9

AT=3×9+6=27+6=33

c.

since angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.

EH=GH

5y+10=28-y

6y=28-10

y=18/6=3

5 0
3 years ago
Find the number that we can place in the box, so that the resulting quadratic is the square of a binomial.
Arturiano [62]

We need a number to complete

(x+c)^2=x^2+2xc+c^2

Since we have

2xc=\dfrac{4}{5}x \iff 2c=\dfrac{4}{5}\iff c=\dfrac{4}{10}=\dfrac{2}{5}

And so the expanded square is

\left( x+\dfrac{2}{5}\right)^2=x^2+\dfrac{4}{5}x+\dfrac{4}{25}

6 0
3 years ago
The formula h = 60t - 5t2 can be used to find the height h, in meters, of an object shot upward with initial speed of 60 meters
slega [8]

Answer:

135 meters

Step-by-step explanation:

h = 60t - 5t²

t is in seconds and it says to find out the height after 3 seconds

Sub the value '3' into 't'

h = 60(3) - 5(3)²

h = 180 - 5(9)

h = 180 - 45

h = 135 m

7 0
3 years ago
Jasper needs 180 of string for his project how many yards did he buy.
andrew-mc [135]

Answer:

5 yards

Step-by-step explanation:

The measurements of the 180 should be Inches

Length of string Jasper needs = 180 inches

how many yards did he buy?

1 yard = 36 inches

Number of yards he needs = Length of string Jasper needs / inches per yard

= 180 inches / 36 inches

= 5 yards

Number of yards he needs = 5 yards

3 0
3 years ago
Write a word problem that can be solved by dividing 10 by 2/3 include the answer to the problem
agasfer [191]

Answer:  

Step-by-step explanation:

you need to divide 10 by 2/3.

Katty has 10/1 tanks of gas fuel in his truck. He uses 2/3 of it each day.

4 0
3 years ago
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