All categories

3 years ago

Through (−2, 3) and (−1, −4)

Mathematics

2 answers:

Ronch [10]3 years ago

8 0

Answer:

Y= -7x -11

Step-by-step explanation:

Hope this helps ;) Plz mark Brainliest :P

professor190 [17]3 years ago

6 0

Answer:

y = -7x - 11

Step-by-step explanation:

Find the slope next create a equation of a line only with the slope then use any of the two points given to find the y-intercept of the line.

You might be interested in

Please help if you help you are swag!!

Ostrovityanka [42]

Answer:

I THINK it's A but i might be wrong, good luck tho

Step-by-step explanation:

3 0

3 years ago

Evaluate y=x squared minus 2x plus one for 3i

pychu [463]

Answer:

$- 8 - 6i$

Step-by-step explanation:

The given expresion is

$y = {x}^{2} - 2x + 1$

We want to evaluate this expression when x=3i

We substitute to obtain:

$y = {(3i)}^{2} - 2(3i) + 1$

We simplify to get

$y = {3}^{2} \times {i}^{2} - 6i + 1$

Recall that

${i}^{2} = - 1$

This implies that:

$y = 9 \times - 1 - 6i + 1$

$y = - 9 - 6i + 1$

$y = - 8 - 6i$

3 0

4 years ago

Von makes a design with four lines. At least two of them are

stepladder [879]

Answer:

yes it help me when I'm doing my work

4 0

2 years ago

Susan is 3 years more than twice her brother’s age. If her brother is m years old, which expression describes Susan’s age?

Arlecino [84]

Answer:

2x+3

Step-by-step explanation:

Since her brother is m years old, you would have to multiply her brother's age by 2 since the question says "...twice here brother's age." This part would equal to the equation 2x. The question also says " ...3 years more..." This would change the equation with the addtion of 3. The completed problem would then be 2x+3. Hope this helped!

5 0

3 years ago

Figure 6 shows a semicircle PTS with center O and radius 8cm. QST is a sector of a circle with center S and R is the midpoint of

sveticcg [70]

(a) <TOR=pi/3 radians

To determine <TOR we use the fact that in the right-angled triangle ORT we know two sides:

|OT|=radius=8cm and |OR|=radius/2=4cm

and can use the sine:

$\sin \angle OTR=\frac{r/2}{r}=\frac{1}{2}\implies \angle OTR =\frac{\pi}{6}$

and since <TRO=pi/2, it must be that

$\angle TOR =\pi-\frac{\pi}{2}-\frac{\pi}{6}=\frac{\pi}{3}$

(b) The arc length is approximately 7.255 cm

In order to calculate the arc length QT, we need to first determine the length |ST| and the angle <OST.

Towards determining angle <OST:

$\angle SOT = \pi - \angle TOR = \pi - \frac{\pi}{3} = \frac{2}{3}\pi$

Next, draw a line connecting P and T. Realize that triangle PTS is right-angled with <PTS=pi/2. This follows from the Thales theorem. Since R is a midpoint between P and O, it follows that the triangles ORT and PRT are congruent. So the angles <PTR and <OTR are congruent. Knowing <PTS we can determine angle <OTS:

$\angle OTR \cong \angle PTR=\frac{\pi}{6}\implies\angle OTS=\angle PTS -\angle PTR -\angle OTR\\\angle OTS = \frac{\pi}{2}-\frac{\pi}{6}-\frac{\pi}{6}=\frac{\pi}{6}$

and so the angle <OST is

$\angle OST = \pi - \angle TOS - \angle OTS = \pi -\frac{2}{3}\pi - \frac{1}{6}\pi=\frac{\pi}{6}$

Towards determining |TS|:

Use cosine:

$\cos \angle OST =\frac{|RS|}{|ST|}\implies |ST|=\frac{\frac{3}{2}r}{\cos \frac{\pi}{6}}=\frac{12\cdot 2}{\sqrt{3}}=8\sqrt{3}cm$

Finally, we can determine the arc length QT:

$QT = {\angle OST}\cdot |ST|=\frac{\pi}{6}\cdot 8 \sqrt{3}=\frac{4\pi}{\sqrt{3}}\approx 7.255cm$

3 0

3 years ago