Answer:
Angle ABC is similar to PQR.
Postulate is Side side, side similarity
Step-by-step explanation:
In triangle ABC, AC:AB = 4/5 = 0.8
In triangle PQR, PR:PQ = 8/10 = 0.8
Looking at the triangle PQR carefully, we can deduce that QR = PR.
Thus; QR:PQ = 8/10 = 0.8.
Also,BC/AB = 4/5 = 0.8
Also, PR/RQ = 8/8 = 1 and AC/CB = 4/4 = 1
Both triangles have the same proportion of their sides and thus we can say they are similar.
Postulate used is Side, Side, Side similarity.
The equation of a hyperbola is /9 - /4 = 1
What are the steps to Hyperbola equation ?
To find the equation of hyperbola, the following steps must be taken. You need to identify;
- The coordinate of the center
- The coordinate of the vertices
- The coordinate of the foci
The general equation of a hyperbola can be expressed as
/ - / = 1
From the graph, we have the following parameters
a = 3
= = 9
b = 2
= = 4
The equation of a hyperbola can be expressed as
/9 - /4 = 1
The vertices = V(+/-a,0) = (+/-3,0)
The center = C(0,0)
The focus = F(+/-C, 0)
Where = +
C =
C =
Focus = F(+/- , 0)
The general equation for asymptote = +/- b/a X
= +/-2/3X
Therefore, the equation of a hyperbola can be expressed as
/9 - /4 = 1
Learn more about hyperbola here: brainly.com/question/3405939
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Answer:
The two complex numbers that make the equation true are 1 + i and 3 + 2i
(1 + i) + (3 + 2i) = 4 + 3i
Step-by-step explanation:
(1 + i) + (3 + 2i)
Combine the real and imaginary parts in numbers 1 + i and 3 + 2i
1 + 3 + (1 + 2)i
Add 1 to 3. Add 1 to 2.
4 + 3i
The two complex numbers that make the equation true are 1 + i and 3 + 2i
Answer:
<h2>x = -6</h2>
Step-by-step explanation:
3 - x = 9 <em>subtract 3 from both sides</em>
3 - 3 - x = 9 - 3
-x = 6 <em>change the signs</em>
x = -6
Answer:
Restaurant can purchase 6 adds when it want to spent total of $3600 and price of each add = $600.
Step-by-step explanation:
Given:
Amount restaurant can spend on advertising =$3600
Cost of 1 add = $600
To find:
Number of ads restaurant will be able to purchase.
=?
Solution:
Number of adds restaurant can purchase=6 adds
Hence restaurant can purcahse 6 adds when it want to spent total of $3600 and price of each add = $600.