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1 year ago

8

A ball is thrown from a height of 32 meters with an initial downward velocity of 2/ms. The ball's height h (in meters) after t s

econds is given by the following. =h−32−2t5t2 How long after the ball is thrown does it hit the ground?

1 answer:

Bumek [7]1 year ago

6 0

0=65-10t-5t^2

now what you want to do is multiply a and c

-5(t^2+2t-13)

Now just find the zeros

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The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′

butalik [34]

<u>ANSWER </u>

The correct answer is option B

<u>EXPLANATION</u>

When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule

$(x,y)\rightarrow (-x,y)$

$P(1,4)\rightarrow P'(-1,4)$

$Q(2,2)\rightarrow Q'(-2,2)$

$R(-2,1)\rightarrow R'(2,2)$

That is to say the <em>x-coordinates</em> are <em>negated</em>. Hence y-axis is the mirror line.

Since reflection is a rigid motion, the two triangles are congruent. That means the two triangles PQR and P'Q'R' are equal in all respect.

See graph in attachment.

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2 years ago

Which expressions are equivalent to 7^{-2}\cdot 7^67

AleksandrR [38]

Answer:

${7}^{ - 2} \cdot \: {7}^{6} = {7}^{ 4}$

Step-by-step explanation:

The given expresion is;

${7}^{ - 2} \cdot {7}^{6}$

We apply the product rule of indices;

${a}^{m} \cdot \: {a}^{n} = {a}^{m + n}$

We apply this property to our expression to get:

${7}^{ - 2} \cdot \: {7}^{6} = {7}^{ - 2 + 6}$

Simplify the exponent on the right;

${7}^{ - 2} \cdot \: {7}^{6} = {7}^{ 4}$

We can't see the options, but I hope this helps!

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Answer:

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Step-by-step explanation:

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1 year ago

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The perimeter of a square is represented by the expression 32x - 12.8. Draw a square to represent this situation and label its s

Hoochie [10]

Answer:

Step-by-step explanation:

Given that: The perimeter of a square is: 32x - 12.8

As we all know that, the formula to find the perimeter of a square is:

Sum of the 4 side = 4* length of the side

=> the length of 1 side: The perimeter of a square / 4

In this situation, we have length of 1 side side is:

(32x - 12.8) / 4

= 32/4x - 12.8/4

= 8x - 3.2

The 1st equivalent expressions for the perimeter: 4 *(8x - 3.2)

The 2nd equivalent expressions for the perimeter: (8x - 3.2) + (8x - 3.2) + (8x - 3.2) + (8x - 3.2)

The 3rd equivalent expressions for the perimeter: 2*(8x - 3.2) + 2*(8x - 3.2)

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1 year ago