(23+8x-x²)+(x³+x²+34-18x)
1 answer:
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<em><u>Question:</u></em>
Marty and Ethan both wrote a function, but in different ways.
Marty
y+3=1/3(x+9)
Ethan
x y
-4 9.2
-2 9.6
0 10
2 10.4
Whose function has the larger slope?
1. Marty’s with a slope of 2/3
2. Ethan’s with a slope of 2/5
3. Marty’s with a slope of 1/3
4. Ethan’s with a slope of 1/5
<em><u>Answer:</u></em>
Marty’s with a slope of 1/3 has the larger slope
<em><u>Solution:</u></em>
<em><u>Given that Marty equation is:</u></em>
<em><u>The point slope form is given as:</u></em>
Where, "m" is the slope of line
On comapring both equations,
<em><u>Ethan wrote a function:</u></em>
Consider any two values from the table we have;
(0, 10) and (2, 10.4)
<em><u>The slope is given by formula:</u></em>
From above two points,
Therefore,
Thus we get,
Therefore, Marty’s with a slope of 1/3 has the larger slope
Answer:
b. about 63.9 units and 41.0 units
Step-by-step explanation:
In question ∠a= 29° and Side of a= 15 and b= 20
Using sine rule of congruence of triangle.
⇒
⇒
Using value of sin 29°
⇒
Cross multiplying both side.
⇒ Sin B=
∴ B= 41°
Now, we have the degree for ∠B= 41°.
Next, lets find the ∠C
∵ we know the sum total of angle of triangle is 180°
∴∠A+∠B+∠C= 180°
⇒
subtracting both side by 70°
∴∠C= 110°
Now, again using the sine rule to find the side of c.
⇒
Using the value of sine and cross multiplying both side.
⇒ C=
∴ Side C= 28.92.
Now, finding perimeter of angle of triangle
Perimeter of triangle= a+b+c
Perimeter of triangle=
∴ Perimeter of triangle= 63.9 units