Answer:
x= 9
y=-12.5
Step-by-step explanation:
3x+2y = 2×2
2x+2y =-7×3
6x+4y =4
- 6×+6y =-21
-2y =25
y=-12,5
2x+2(-12,5)= -7
2x+-25= -7
2x= -7+25
2x/2=18/2
x= 9
Given that triangles MON and POQ are similar triangles, the length of PO is 30 units.
<h3>What are Similar Triangles?</h3>
The triangles that are similar to each other will have their corresponding sides proportional to each other.
Given:
MP = 25
PQ = 18
MN = 33
Triangles MON and POQ are similar triangles.
Let PO = x
Therefore:
MN/PQ = MO/PO
Substitute
33/18 = (25 + x)/x
Cross multiply
33x = 18(25 + x)
33x = 450 + 18x
33x - 18x = 450
15x = 450
x = 30
Therefore, given that triangles MON and POQ are similar triangles, the length of PO is 30 units.
Learn more about similar triangles on:
brainly.com/question/21874653
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
Rectangle on the top: 3a^4b^2
Second: 35x^6y^8z^2
Square: 108x^8y^2
The rate at 14% and 5% are $12, 883 and $2191 respectively.
<h3>How to determine the rate</h3>
Given that;
Invested amount = $ 15, 074 at 14% and 5%
Let rate at 14% = x
rate at 5% = y
We have rate at 9% exceeds that of 5% by $1694. 07
Hence,
0. 14x = 0. 05y + $1694. 07 ⇒ equation 1
x + y = $15, 074 ⇒ equation 2
Make 'x' the subject
x = 
Substitute in equation 2

Expand the expression

Collect like terms

Make 'y' the subject
y = 
y = 
Substitute the value in equation 2
x + y = $15, 074
x = $15, 074 - y
x = 
x = $12, 883
Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.
Learn more about simultaneous equations here:
brainly.com/question/16863577
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