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4 years ago

In which quadrant is the point (19, -4)?

Mathematics

1 answer:

Art [367]4 years ago

8 0

The point (19, -4) is in quadrant 4. I hoped this helped!

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W(4+w)=60 what is the zero product property

drek231 [11]

Answer:

w = -10,6

Step-by-step explanation:

w(4+w)=60

4w + w^2 -60 = 0

w^2 +4w -60 = 0

w^2 +10w -6w -60 = 0

w(w+10) -6(w+10) = 0

w = -10, 6

7 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

7) Shannon is selling some embroidered jackets on a Web site. She wants 10 points

ahrayia [7]

Answer: A

Step-by-step explanation:

Nothing you a bum

4 0

3 years ago

G = 3t2 – 5t + 6

zmey [24]

Answer:

-5t² + 2t - 3

Step-by-step explanation:

G = 3t2 – 5t + 6

P = -8t² + 7t – 9

G + P

= (3t² – 5t + 6) + (-8t² + 7t – 9)

= 3t² - 8t² - 5t + 7t + 6 - 9

= -5t² + 2t - 3

5 0

3 years ago

Using the figure to the right, if RSTU is a rhombus, find measure RST.

sammy [17]

Given:

In rhombus RSTU, $m\angle RUV=(10x-23)^\circ$ and $m\angle TUV=(3x+19)^\circ$ .

To find:

The $m\angle RST$ .

Solution:

We know that, diagonals of a rhombus are angle bisector. So,

$m\angle RUV=m\angle TUV$

$(10x-23)^\circ=(3x+19)^\circ$

$10x-23=3x+19$

Isolating variable terms, we get

$10x-3x=23+19$

$7x=42$

Divide both sides by 7.

$x=\dfrac{42}{7}$

$x=6$

Now,

$m\angle RUV=(10x-23)^\circ$

$m\angle RUV=(10(6)-23)^\circ$

$m\angle RUV=(60-23)^\circ$

$m\angle RUV=37^\circ$

And,

$m\angle TUV=(3x+19)^\circ$ .

$m\angle TUV=(3(6)+19)^\circ$

$m\angle TUV=(18+19)^\circ$

$m\angle TUV=37^\circ$

Now,

$m\angle RUT=m\angle RUV+m\angle TUV$

$m\angle RUT=37^\circ+37^\circ$

$m\angle RUT=74^\circ$

We know that opposite angles of a rhombus are equal.

$m\angle RST=m\angle RUT$

$m\angle RST=74^\circ$

Therefore, the measure of angle RST is $74^\circ$ .

3 0

3 years ago