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3 years ago

Are the graphs of the lines in the pair parallel? Explain.

Mathematics

1 answer:

erica [24]3 years ago

6 0

Answer:

Step-by-step explanation:

you have two functions:

y=x-17

and

y=4/5x+6/5

These lines are not parallel because they have different slopes.

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The square of a number exceeds that number by 12. What are the two possible solutions?

laiz [17]

Answer:

The correct answer is option C.

Step-by-step explanation:

Let the number be x.

The square of a number exceeds that number by 12 .Mathematically can be written as:

$x^2-x=12$

$x^2-x-12=0$

Using middle term splitting to factorize the expression:

$x^2-4x+3x-12=0$

$x(x-4)+(3)(x-4)=0$

$(x+3)(x-4)=0$

The two possible solutions are :

1) (x+3)=0

x = -3

2) (x-4)=0

x = 4

4 0

4 years ago

Read 2 more answers

Find the value of x. give reasons to justify your answer NEED HELP ASAP!!!!

Firlakuza [10]

Answer:

$x = 34^\circ$

Step-by-step explanation:

Note that ∠TSU and ∠PSR are vertical angles. Hence:

$m\angle TSU = m\angle PSR$

∠PSR is the sum of ∠PSQ and ∠QSR. Hence:

$\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR$

We know that ∠TSU measures 4<em>x</em> and ∠QSR measures 3<em>x</em>. Thus:

$(4x) = m\angle PSQ + (3x)$

Solve for ∠PSQ:

$m\angle PSQ = x$

Next, ∠PQS and ∠RQS form a linear pair. Thus:

$m\angle PQS + m\angle RQS = 180^\circ$

∠RQS measures 68°. Thus:

$m\angle PQS +(68^\circ) = 180^\circ$

Solve for ∠PQS:

$m\angle PQS = 112^\circ$

The interior angles of a triangle must total 180°. So, for ΔPQS:

$\displaystyle m\angle SPQ + m\angle PQS + m\angle PSQ = 180^\circ$

Substitute in the known values:

$(x) + (112^\circ) + (x) = 180^\circ$

Simplify:

$2x = 68^\circ$

And divide. Hence:

$x = 34^\circ$

4 0

3 years ago

The morning temperature in northern Canada was −28.9∘ F. The temperature rose 33.2°F during the day before reaching its high tem

My name is Ann [436]

The high temperature for the day was 4.3°F

6 0

3 years ago

How can you compare decimals such as 0.21, 1.32, 2.1, and 0.021?

luda_lava [24]

Answer:

line up the decimal points first and then compare values, starting with the ones places, then compare the tenths place, then the hundredths, etc.

0.210 - this is 21/100

1.320 - this is 1 32/100

2.100 - this is 2 1/10

0.021 - this is 21/1000

Step-by-step explanation:

smallest is 0.021

0.210

1.32

largest is 2.1

6 0

3 years ago

The right triangle ABC is shown below. Find the missing side by using the Pythagorean theorem,if a=6ft and b=8ft

docker41 [41]

Answer:

c = 10

Step-by-step explanation:

Using Pythagoras' theorem

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, that is

c² = a² + b² ← substitute values

c² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

c = $\sqrt{100}$ = 10

4 0

3 years ago

Read 2 more answers