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ICE Princess25 [194]
3 years ago
15

When the factors of a trinomial are (x + p) and (x + 9) then the constant term

Mathematics
1 answer:
VladimirAG [237]3 years ago
3 0

Answer:

9p

Step-by-step explanation:

(x + p)(x + 9) =

= x^2 + 9x + px + 9p

= x^2 + (9 + p)x + 9p

The constant term is 9p.

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PLEASE HELP WITH GEOMETRY WILL GIVE BRAINLIEST
sammy [17]

Answer:

Option D

Step-by-step explanation:

In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles

The Rule says

\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.

Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.

Example

in first option we can apply Sine Rule as

\frac{\sin 84}{x}=\frac{\sin 63}{3}

\frac{0.994}{x}=\frac{0.891}{3}

x=\frac{0.991 \times 3}{0.891}

x=\frac{2.973}{0.891}

x=3.336

8 0
3 years ago
Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le
Andrews [41]
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
       b² = 225
       b = 15

Answer: the length of the common external tangent is 15.

3 0
3 years ago
Smooth, suave, ingratiatingly pleasant
mash [69]
I say the answer is B. Bland

4 0
3 years ago
A designer builds a model of a sports car. The finished model is exactly the same shape as the original, but smaller. The scale
lesantik [10]

Answer:

Ratio = 2 : 15

Step-by-step explanation:

Given

k = 2 : 15 --- scale factor

Required [missing from the question]:

The ratio of width of the model to the original

From the question, we understand that the scale factor is: 2 : 15

The ratio of the width of the model to the original equals the given scale factor i.e.

Ratio = 2 : 15

8 0
3 years ago
How many more pounds does the heaviest soccer ball weigh (17 ounces) than the heaviest baseball (5.25 ounces)? Round your answer
schepotkina [342]
Do 17 ounces minus 5.25 ounces and you'll get your answer
6 0
3 years ago
Read 2 more answers
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