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3 years ago

Geometry math question no Guessing and Please show work thank you

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

Answer is Median Option(C.) since it divides RS into two equal halves i.e.RQ=QS=7
Hope this helps....

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What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.

Oxana [17]

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k). Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25). Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x. We must factor this. Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:

y = 0.96(x -√5)(x + √5). This is the fully factored form of the polynomial.

5 0

3 years ago

Question 5

nadezda [96]

When you distribute you should get
$12 {x}^{2} + 8x - 3x - 2$
Simplify to get
$12 {x}^{2} + 5x - 2$
Answer 2 is correct

4 0

3 years ago

Please help and answer the question properly.

RUDIKE [14]

Answer:

x = 15.65 and y = 5√2

Step-by-step explanation:

To get x and y we will use the Pythagoras theorem as shown

hyp^2 = adj^2 + opp^2

x^2 = 14^2+7^2

x^2 = 196 + 49

x^2 = 245

x = √245

x = 15.65

Similarly for y;

y2 = 5^2 + 5^2

y^2 = 25 + 25

y^2 = 50

y = √2*25

y = 5√2

Hence x = 15.65 and y = 5√2

6 0

3 years ago

Read 2 more answers

A department store sold 51 51 shirts one day. All short-sleeved shirts cost $14.00 $ 14.00 each and all long-sleeved shirts cost

Dmitrij [34]

Answer:

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of short-sleeved shirts sold.

y is the number of long-sleeved shirts sold.

A department store sold 51 shirts one day.

This means that $x + y = 51$

All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.

This means that

$14x + 23y = 921$

How many of each kind of shirt were sold?

We have to solve the system of equations.

$x + y = 51$

$x = 51 - y$

--------------

$14x + 23y = 921$

$14(51 - y) + 23y = 921$

$714 - 14y + 23y = 921$

$9y = 207$

$y = \frac{207}{9}$

$y = 23$

--------

$x = 51 - y = 51 - 23 = 28$

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

7 0

3 years ago

Madison deposited $18 in a savings account that earns 2.5% simple interest. Which graph represent this scenario

Dmitriy789 [7]

The answer is 7.20 because $18 divided by 2.5% is 7.20

8 0

3 years ago

Read 2 more answers