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3 years ago

Does anyone know what math topic this is?

Mathematics

1 answer:

Alborosie3 years ago

3 0

Answer:

Comparing quantities

profit loss

cost price selling price.....

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Answer only if you know<br><br> HELP PART A AND PART B

VARVARA [1.3K]

Answers:

Part A) There is one pair of parallel sides
Part B) (-3, -5/2) and (-1/2, 5/2)

====================================================

Explanation:

Part A

By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.

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

Part B

The midsegment has both endpoints as the midpoints of the non-parallel sides.

The midpoint of segment PS is found by adding the corresponding coordinates and dividing by 2.

x coord = (x1+x2)/2 = (-4+(-2))/2 = -6/2 = -3

y coord = (y1+y2)/2 = (-1+(-4))/2 = -5/2

The midpoint of segment PS is (-3, -5/2)

Repeat those steps to find the midpoint of QR

x coord = (x1+x2)/2 = (-2+1)/2 = -1/2

y coord = (x1+x2)/2 = (3+2)/2 = 5/2

The midpoint of QR is (-1/2, 5/2)

Join these midpoints up to form the midsegment. The midsegment is parallel to PQ and RS.

7 0

2 years ago

Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. after 3 hours, only 40 mg remain. find an exponential m

Anastaziya [24]

The equation will be of the form:
$A(t)= A_{0} e^{rt}$
where A is the amount after t hours, and r is the decay constant.
To find the value of r, we plug the given values into the equation, giving:
$40=320e^{3r}$
Rearranging and taking natural logs of both sides, we get:
$ln\ 0.125=3r$
$r=\frac{ln\ 0.125}{3}=-0.693$
The required model is:
$A=A _{0} e^{-0.693t}$

3 0

3 years ago

Is (0,0) a solution of the system y>x and x+y>0?

olga55 [171]

Plug the values (x,y)=(0,0) into the inequalities:

$y\ \textgreater \ x \\
0\ \textgreater \ 0 \\
not \ true \\ \\
x+y\ \textgreater \ 0 \\
0+0\ \textgreater \ 0 \\
0\ \textgreater \ 0 \\
not \ true$

0 isn't greater than 0, no (0,0) is not a solution to either of these inequalities.

The answer is D.

8 0

3 years ago

Marcy determined that her father's age is the quotient of her age and 5, increased by 10. If x represents Marcy's age, write an

Hoochie [10]

Answer:

x / 5 + 10 or

Step-by-step explanation:

4 0

3 years ago

Please help me with this question!! I also need the steps

e-lub [12.9K]

Hi there!

$\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}$

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

8 0

3 years ago