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2 years ago

I would really appreciate the help on this please

Mathematics

1 answer:

deff fn [24]2 years ago

3 0

Answer:

${x}^{3} + 2x ^{2} - 6x + 45$

Step-by-step explanation:

sorry I didn't write it out...

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AB = x + 15 DC = 4x AD = x + 10 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show

dexar [7]

Answer:

$BC=15\ units$

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent

In this problem

we have that

AB and DC are opposite sides

AD and BC are opposite sides

AB=DC

AD=BC

step 1

Find the value of x

AB=DC

substitute the given values

$x+15=4x$

solve for x

$4x-x=15$

$3x=15$

$x=5\ units$

step 2

Find the length of AD

we have that

$AD=x+10$

substitute the value of x

$AD=5+10=15\ units$

step 3

Find the length of BC

Remember that

AD=BC ----> by opposite sides

therefore

$BC=15\ units$

6 0

4 years ago

The weight, in pounds, of a newborn baby t months after birth can be modeled by W. A graph of W is shown below. Write an equatio

Agata [3.3K]

the First we need to choose two points in the graph

(0,6)=(t1,w1)

(1,7)=(t2,w2)

the variables are t and w

then we can calculate the slope

$m=\frac{w2-w1}{t2-t1}=\frac{7-6}{1-0}=\frac{1}{1}=1$

the equation of W is

where

m=1 ---> slope

b=6 ---> y-intercept

$\begin{gathered} W=mt+b \\ W=1\cdot t+6 \\ W=t+6 \end{gathered}$

the answers are

W=t+6

slope of the function 1

the answer is the third option

5 0

1 year ago

Domain and range of graph need ASAP

Lostsunrise [7]

Answer:

Domain: $-6 \leq x \leq 3$

Range: $-3 \leq x \leq 6$

Step-by-step explanation:

The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: $-6 \leq x \leq 3$ , because this is the set of real values for which the function will produce a real output.

The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).

6 0

3 years ago

Which set of points contains the solutions to the inequality y < -2/3x - 13/3?

Hatshy [7]

Answer:

Step-by-step explanation:

3 0

4 years ago

Can someone help me with this? sin150° =

marusya05 [52]

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

6 0

3 years ago

Read 2 more answers