<span><span>2<span><span>(x+3)</span>2</span>+1</span><span>2<span><span>(x+3)</span>2</span>+1</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=2<span><span>(x+3)</span>2</span>+1</span><span>y=2<span><span>(x+3)</span>2</span>+1</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=2</span><span>a=2</span></span><span><span>h=−3</span><span>h=-3</span></span><span><span>k=1</span><span>k=1</span></span>Find the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span>(−3,1<span>) ...................................</span></span>
Answer:
The rule of the translation
Step-by-step explanation:
we know that
In order to describe the translation of the triangle ABC we need to know the rule of translation, i.e. we need to know how many units to the left or to the right the x coordinate will move and how many units up or down the y coordinate will move
There are 20 blocks needed for tower A, and 43.75 blocks needed for tower B
From the tape diagrams, we have the following ratio
Prism : Pyramid = 4 : 1
From the table, we have:
Tower A = 16 prisms
So, the ratio becomes
16 : Pyramid = 4 : 1
Multiply the ratio on the right-side by 4
16 : Pyramid = 16 : 4
By comparison, we have:
Pyramid = 4
This means that, 4 pyramid blocks are needed for tower A
So, the total number of blocks needed is:
Total = Pyramid + Prism
This gives
Total = 4 + 16
Evaluate the sum
Total = 20
Hence, there are 20 blocks needed for tower A
For table B, we have:
Tower A = 35 prisms
So, the ratio becomes
35 : Pyramid = 4 : 1
Express as fractions
Multiply through by 35
Pyramid = 8.75
This means that, 8.75 pyramid blocks are needed for tower B
So, the total number of blocks needed is:
Total = 8.75 + 35
Evaluate the sum
Total = 43.75
Hence, there are 43.75 blocks needed for tower B
Read more about ratios at:
brainly.com/question/16981404
24°
opposite side (vertical distance from ship to ocean floor) = 150 m
adjacent side (horizontal distance from u-boat to ship on ocean floor) = 330 m
tanθ =
opp/adj
tanθ =
150/330
θ = tan-1
150/330
θ = 24.44
Answer:
Step-by-step explanation:
x + 131 + 108 + 107 + 110 = 540
x + 456= 540
x = 84
