Which rate is the greatest?

Will Mark as Brainliest?

GaryK [48]

Answer:

Step-by-step explanation:

a.

slope=-1/2

b.

eq. of line is

y-0=(-2-0)/(0-(-2)(x-(-2))

y=-2/2 (x+2)

or y=-x-2

5 0

3 years ago

Find the highest common factor of 20 and 28

Vlad [161]

20: 1,2,4,5,10,20
28: 1,2,4,7,14,28

4 0

2 years ago

Read 2 more answers

The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm h

noname [10]

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

M ∝ AT

Removing the proportionality sign,

M = KAT

Where:

K = constant of proportionality.

make K the subject of the equation:

K = M/KT.................... Equation 1

From the question,

Given:

M = 200 g
A = 250 cm²
T = 1 mm = 0.1 cm

Susbtitute into equation 1

K = 200/(250×0.1)
K = 8 g/cm³

Formula:

M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

A = 400 cm²
T = 3 mm = 0.3

Substitute these values into equation 2

M = 8(400)(0.3)
M = 960 g

Hence, the mass of the metal sheet is 960 g

Learn more about joint variation here: brainly.com/question/26047253

6 0

2 years ago

7. The points P(2, -3), Q(3, -2) and R(8, z) are

Hatshy [7]

Answer:

z = 3

Step-by-step explanation:

Since the points are collinear then the slopes between the points are equal.

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)

m = $\frac{-2+3}{3-2}$ = 1

Repeat with

(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )

m = $\frac{z+2}{8-3}$ = $\frac{z+2}{5}$ , then

$\frac{z+2}{5}$ = 1 ( multiply both sides by 5 )

z + 2 = 5 ( subtract 2 from both sides )

z = 3

4 0

2 years ago

In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .

spayn [35]

Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}$

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

$\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\$

6 0

2 years ago