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3 years ago

Can anyone answer these?????

Mathematics

1 answer:

Arlecino [84]3 years ago

8 0

22's answer is because they're alternate

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Three vertices of parallelogram JKLM are J(1, 4), K(5, 3), and L(6,−3). Find the coordinates of vertex M.

Andrej [43]

Answer:

coordinates of vertex M is (x, y) = (2, -2)

Step-by-step explanation:

Since JKLM is a parallelogram, this implies that JK parallel to LM and KL parallel to JM. This means that

Slope of JK = slope of LM

$\frac{3-4}{5-1} =\frac{-3-y}{6-x} \\y=-\frac{1}{4}x-\frac{3}{2} ....(i)$

And

Slope of KL = slope of JM

$\frac{3-\left(-3\right)}{5-6}=\frac{4-y}{1-x}\\y=10-6x...(ii)$

From equation (i) and (ii) we get

$-\frac{1}{4}x-\frac{3}{2} =10-6x$

$-\frac{23x}{4}=-\frac{23}{2}$

$-23x=-46$

$x=2$

Put the value of x in equation (ii) we get

$y=10-6(2)\\y=-2$

So, the coordinates of vertex M is (x, y) = (2, -2).

5 0

3 years ago

What property of equality is 15v-55=-10

aliina [53]

Answer:

Step-by-step explanation:

15v-55=-10

15v=45/÷15

v=3

3 0

3 years ago

A ball is thrown upward with an initial velocity of 60 mph. it is thrown from a height of 5 feet. what is the maximum height it

natima [27]

Answer:

h = 61.25 m

Step-by-step explanation:

It is given that,

The initial velocity of the ball, v = 60 m/s

It is thrown from a height of 5 feet, $h_o=5\ ft$

We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :

$h=-16t^2+vt+h_0$

Putting all the values,

$h=-16t^2+60t+5$ .....(1)

For maximum height, put

$\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s$

Put t = 1.875 in equation (1)

$h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m$

So, the maximum height reached by the ball is 61.25 m.

8 0

3 years ago

For it says sales tax in the word problem do you need to add or subtract?!

Nataliya [291]

When you go to the store, pick up some stuff from the shelves,
and take it to the check-out, the checkout lady adds up all
the prices of the things you bought, and then she ADDS the
sales tax to the sum. The amount of money you pay is always
MORE after she adds the tax than it was before she added it.

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3 years ago

Can someone help me solve F(x) = -9x-5

USPshnik [31]

Answer:

Step-by-step explanation:

What you've provided is only a function. What's the complete question?

7 0

3 years ago