Answer:
Step-by-step explanation:
vertex form of quadratic: y = a ( x − h ) ^ 2 + k
h= -2 , k = -2
y=a(x+2)^2-2
Substitute (-1,1)
1=a(-1+2)^2-2
a=3
y=3(x+2)^2-2
Expanding and give
y=3x^2+12x+10
Lines of symmetry if the triangle is isosceles.
4, 2, 1
Answer:
<h3>Angle 6 = 101°</h3><h3>Angle 5 = 79°</h3><h3>Angle 7 = 79</h3>
Step-by-step explanation:
Angle 6 will 101°
This is because we can see that Angle 4 is alternate interior angle to Angle 6 and alternate interior angles are always equal.
<h2>So angle 6 will be 101°</h2>
Angle 7 = 79°
Here we can see that Angle 6 and angle 7 are supplementary which means it has a measure of 180°
So the value of Angle 7 will be
<h2>Hence the measure of angle 7 will be 79°</h2>
Angle 5 = 79°
Angle 7 and Angle 5 is vertically opposite to each other and we know that vertically opposite angles are always equal so the measure will be 79°
<h3>Hence the measure of Angle 5 will be 79°</h3>
Answer:
12 boys
Step-by-step explanation:
From the above question:
Number of boys = 3
Number of girls = 2
Boys: Girls
3:2
Let :
a = boys
b = girls
Hence, a : b = 3 : 2
a/b = 3/2
Cross Multiply
2a = 3b .......... Equation 1
a = 3b/2
If four more girls join the class, there will be the same number of boys and girls
Hence,
a: b + 4 = 3 : 3
a/b + 4 = 3/3
Cross Multiply
3a = 3(b + 4)
3a = 3b + 12 ........ Equation (2)
From Equation 1: a = 3b/2
Substitute 3b/2 for a in Equation 2 we have:
3a = 3b + 12 .........Equation 2
3(3b/2) = 3b + 12
9b/2 = 3b + 12
Cross Multiply
9b = 2(3b + 12)
9b= 6b + 24
9b - 6b = 24
3b = 24
b = 8
Substitute 8 for b in Equation 1
a = 3b/2
a = 3 × 8/2
a = 24/2
a = 12
Therefore, the number of boys in the class is 12
The answer will be 60+ because 48 minutes is a long time and if youstudy for a long time you memorize more
