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KATRIN_1 [288]
4 years ago
7

-9x-6y=15,9x-10y=145

Mathematics
1 answer:
vazorg [7]4 years ago
3 0

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

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If k (x) = x^2 and p (x) = k (x) + n, what is the value of n?
frosja888 [35]

The equation k(x) = x^2 is quadratic equation, and the value of n in p (x) = k (x) + n is -6

<h3>How to determine the value of n?</h3>

The equations are given as:

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p (x) = k (x) + n


From the graph, we can see that the graph of k(x) is shifted down by 6 units.

This means that the equation of p(x) is

p (x) = k (x) - 6

By comparison;

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Hence, the value of n in p (x) = k (x) + n is -6

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brainly.com/question/17586310

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7 0
2 years ago
What is the missing statement in step 10 of the proof?
telo118 [61]

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c/sin C = b/sin C

Step-by-step explanation:

Look at the statement in the previous step and the reason in this step.

c sin B = b sin C

Divide both sides by sin B sin C:

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c/sin C = b/sin B

7 0
3 years ago
Let E stand for the set of all even natural numbers (so E={2,4,6,8,...} and O stand for the set of all odd natural numbers (So O
Yuliya22 [10]
Cardinality is the number of elements in a set. Both of the sets E and O have infinite elements, but there are different types and sizes of infinity. Luckily, all you have to do to prove that two sets have the same cardinality is describe an explicit one-to-one correspondence between the two.
For odds and evens, this is a relatively easy thing to do - all odds are just one less than an even. So, the function that relates the two sets is
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4 0
3 years ago
Two cyclists leave from an intersection at the same time. one travels due north at a speed of 18 mph, and the other travels due
aleksandrvk [35]

Answer:

  5 hours

Step-by-step explanation:

The ratio of speeds is 3 : 4 with a multiplier of 6 mph. They are at right angles to each other, so the speed vectors form a right triangle with side ratios 3:4:5. The separation speed of the cyclists is 5·(6 mph) = 30 mph. It will take them 5 hours to be separated by 150 miles.

  time = distance/speed = 150 mi/(30 mi/h) = 5 h

_____

<em>Alternate solution</em>

The distance (d) between the cyclists can be written in terms of their respective distances as a function of time. If the first one has distance n(t) = 18t from the start, and the second has distance e(t) = 24t from the start, then the distance between them is given by the Pythagorean theorem as ...

  d=\sqrt{n(t)^2+e(t)^2}=\sqrt{(18t)^2+(24t)^2}=\sqrt{900t^2}=30t\\\\150=30t \quad\text{substitute desired distance}\\\\t=\dfrac{150}{30}=\bf{5 \dots\textbf{hours}}

5 0
3 years ago
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