All categories

2 years ago

Which equation represents a line that passes through (2, –) and has a slope of 3?

Mathematics

1 answer:

Radda [10]2 years ago

4 0

The complete question in the attached figure

Let
(2, -R)----------> the point (2, -?)

the equation of a line is
y-y1=m*(x-x1)
point (2.-R) and m=3
so

y+R=3*(x-2)

the answer is the option
y + = 3(x – 2)

You might be interested in

A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r

svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, $h^2 + b^2 = 16^2 = 256 \dotsc\;(1)$ because it is a right angle triangle.

It is given that $\frac{db}{dt} = 1$

Now differentiate (1) with respect to t (time) :

$\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}$

$\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}$

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that $16 \sin{\theta} = b$ . When b = 8, then $\theta = \arcsin{0.5} = \ang{30}$ .

Differentiate the above equation w.r.t t

$\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}$

c. The area of the triangle is given by $A = 0.5\times h \times b$ . Differentiating w.r.t t,

$\displatstyle{\frac{dA}{dt} = 0.5 b \frac{dh}{dt} + 0.5 h \frac{db}{dt}}$

Plugging in b = 8, h = 13.856, $\frac{dh}{dt} = -0.588$ ,

$\frac{dA}{dt} = -2.352 + 6.928 = \mathbf{4.576 ft^2/sec}$

8 0

3 years ago

2х - бу = 2 x + бу = 28

scZoUnD [109]

Answer:

x = 10

y = 3

Step-by-step explanation:

Given

2x - 6y = 2

x + 6y = 28

Add both equations

2x + x -6y + 6y = 2 + 28

3x = 30

Divide both sides by 3

x = 30/3

x = 10

Substitute 10 for x in either equations to get y

Using equation 2 , we have

x + 6y = 28

10 + 6y = 28

Subtract 10 from both sides

10 - 10 + 6y = 28 - 10

6y = 18

Divide both sides by by 6

y = 18/6

y = 3

Therefore

x = 10

y = 3

7 0

3 years ago

The American Water Works Association reports that the per capita water use in a single-family home is 74 gallons per day. Legacy

Lunna [17]

Answer:

Reject H0 since test statistic <-2.492

Step-by-step explanation:

Given that the American Water Works Association reports that the per capita water use in a single-family home is 74 gallons per day.

n = 25

x bar = 69

s= 8.3

std error = s/sqrt n = $\frac{8.3}{5} \\=1.66$

H0: $\bar x = 74$

Ha: $\bar x$

(Left tailed test at 5% significance level)

a) Reject H0 if t $\leq$ -2.492

b) Test statistic = mean difference/std error

= $\frac{69-74}{1.66} \\=-3.012\\$

=-3.01

df =24

c) Reject H0

6 0

2 years ago

A kite can be both equiangular and equilateral

BaLLatris [955]

True. An equilateral has equal sides, which is possible, and equiangular Has equal angles, which if you have same side lengths, have same angles; right angles

8 0

3 years ago

Read 2 more answers

Store display volume of each cube shaped box is 125 cubic inches of the display has six layers of boxes how high is the display

Doss [256]

Answer:

30 inches

Step-by-step explanation:

We know that the formula for calculate the volume of a cube is:

∨=8³

Where "s" is the length of each side.

Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":

125 in³=8³

∛125 in³=8

8=5 in

We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6.

Then:

height= (5 in)(6)=30 in

8 0

2 years ago