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3 years ago

A builder has an 5-acre plot divided into 1 2 -acre home sites. How many 1 2 -acre home sites are there? please answer soon

Mathematics

1 answer:

STALIN [3.7K]3 years ago

3 0

Answer:

Step-by-step explanation:

5 divided by 1/2 is 10

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Is x = -12 a solution of x^2 +10x+25=49?

Tresset [83]

Answer:

Yes

Step-by-step explanation:

${x}^{2} + 10x + 25 = 49 \\ {x}^{2} + 10x + 25 - 49 = 0 \\ {x}^{2} + 10x - 24 = 0 \\ (x + 12)(x -2 ) = 0 \\ \\ x + 12 = 0 \\ x = - 12 \\ \\ \\ x - 2 = 0 \\x = 2$

I hope I helped you^_^

8 0

2 years ago

A portion of John Locke's time card is shown below. How many hours did he work for the week?

Paraphin [41]

Answer:

Step-by-step explanation:

it's 8+8+8+7+9 so it's gonna be 40

3 0

2 years ago

X+2y=-1 and 4x-4y=20 solve by substitution

Illusion [34]

To do this problem you would first need to factor out a variable, which in this case I would want to do the first equation because it is isolated. Now the equations would look like this:

x = -2y - 1

4x - 4y = 20

Since we know that x is now equal to -2y - 1 we can plug it in to the x value in the second equation:

4 (-2y -1) - 4y = 20

-8y -4 - 4y

-12y - 4 = 20

-12y = 24

y = -2

Now that we know the y value plug the y value to one equation to find the x, I will be using the first equation

x + 2(-2) = -1

x - 4 = -1

x = 3

Solutions:

y = -2

x = 3

8 0

3 years ago

Proving the Parallelogram Diagonal Theorem

lora16 [44]

Answer:

The proof is given below.

Step-by-step explanation:

Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.

In ΔACD and ΔBEC

AD=BC (∵Opposite sides of parallelogram are equal)

∠DAC=∠BCE (∵Alternate angles)

∠ADC=∠CBE (∵Alternate angles)

By ASA rule, ΔACD≅ΔBEC

By CPCT(Corresponding Parts of Congruent triangles)

AE=EC and DE=EB

Hence, AE is conruent to CE and BE is congruent to DE