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goblinko [34]
3 years ago
12

Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions

, or simplified radical expressions.
Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

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Two triangles are similar. The perimeter of the smaller one is 16. The ratio of the corresponding sides is 2:5. The sides of the
Eddi Din [679]

Answer:

Perimeter of larger triangle is 40.

Step-by-step explanation:

Given:

Perimeter of smaller circle = 16

Ratio of corresponding side = 2:5

We need to find the perimeter of the larger triangle.

Solution:

Let the perimeter of the larger triangle be 'x'.

Therefore by theorem which states that;

" When a triangle have scale factor a:b then the ratio of the perimeters is a:b".

Here Ratio is 2:5, so we can say by theorem, Ratio of perimeters is 2:5

framing in equation form we get;

\frac{\textrm{Perimeter of smaller triangle}}{\textrm{Perimeter of Larger triangle}}=\frac{2}{5}

Substituting the values we get;

\frac{16}{x}=\frac{2}{5}

By Cross multiplication we get;

16\times 5=2x\\\\80=2x

Dividing both side by 2 we get;

\frac{80}{2}=\frac{2x}{2}\\\\x=40

Hence Perimeter of larger triangle is 40.

7 0
3 years ago
Simplify -3/5 ÷ 7/6 what is the answer
Nesterboy [21]
-3/5 divided by 7/6 is -18/35

4 0
3 years ago
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During his workouts last week, Allen jogged the same amount of time each day for 6 days. Use the following information to determ
vodomira [7]
I hope this helped you

8 0
3 years ago
What are the coordinates of the points in this graph
jeka94

<em><u>Answer:</u></em>

(7, -5)

<em><u>Step-by-step explanation:</u></em>

We can see the dot, is 7 units to the right of the y axis, and 5 down from the x-axis. We then can create the coordinates because we know where it is:

If it is on the right side of the y-axis, it is positive. If it is below the x-axis, it is negative so:

(7, -5) would be the coordinate point

4 0
3 years ago
Anthony cut a piece of metal that weighed 2,700 grams.Dianne cut a piece of metal that weighed 3,200 grams.how much heavier was
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Answer:

Dionne’s piece weight 500 grams heavier than Anthony’s

Step-by-step explanation:

8 0
2 years ago
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