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3 years ago

If the gradient is negative or positive how will it be Please i need it now! Thanks

Mathematics

1 answer:

OleMash [197]3 years ago

7 0

Answer:

A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.

Step-by-step explanation:

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On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negat

klasskru [66]

Answer:

Option A) They are parallel because their slopes are equal.

Step-by-step explanation:

We are given the following in the question:

Line AB:

(-4, -2), (4,4)

Line CD:

(0,-3), (4,0)

Formula to calculate slope =

$(x_1, y_1), (x_2, y_2)\\\\\\text{Slope} = m = \dfrac{y_2 - y_1}{x_2 - x_1}$

Slope of AB =

$(-4, -2), (4,4)\\\\m_{AB} = \dfrac{4-(-2)}{4-(-4)} = \dfrac{6}{8} = \dfrac{3}{4}$

Slope of CD =

$(0,-3), (4,0)\\\\m_{CD} = \dfrac{0-(-3)}{4-0} = \dfrac{3}{4}$

Thus,

$m_{AB} = m_{CD}$

Thus, the two lines are parallel.

Option A) They are parallel because their slopes are equal.

3 0

3 years ago

Read 2 more answers

What is 3,920,000,000,000 in scientific notation? 3.92×1010 3.92×1012 3.92×10−10 3.92×10−12

kumpel [21]

Writing in scientific notation is writing in power form.

Writing in power form is usually in the form:

X.y × 10ⁿ

We now write 3 920 000 000 000 in this form.

3.92 × 10¹²

Answer :

3.92 × 10¹²

This is the scientific notation.

Hope I helped :)

5 0

3 years ago

cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

3 years ago

Find the perimeter of a square with sides 2 5/8 .

slava [35]

Answer:

10.5

Step-by-step explanation:

2⅝×4=10.5

..............

3 0

3 years ago

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Solve the smetaneous equatan graphically x-2y=1 2x-y=2 given the range of x from-3 to 3 choose a suitable scale

DedPeter [7]

Answer:

(2, 0)

Step-by-step explanation:

<u>Given system:</u>

x - 2y = 1
2x - y = 2

In order to solve it graphically, graph both lines and find the point of their intersection.

Graphing easy if you plot the x- and y- intercepts and connect them with a line.

<em>See attached.</em>

Both lines have same x-intercept, which is also the solution: (2, 0)

8 0

3 years ago

Read 2 more answers