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ANEK [815]
1 year ago
12

Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope. Math item stem image

Mathematics
1 answer:
ololo11 [35]1 year ago
3 0

Answer:

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram attached.

Slope is the change in coordinate of the y coordinate to the x coordinate.

Mathematically, slope m = ∆y/∆x

From the diagram ∆y is the same as 3 (along the vertical) while ∆x is the same as 1 (along the horizontal)

m = ∆y/∆x = 3/1

∆y/∆x = 3/1

y/x = 3/1

Cross multiply

y × 1 = 3 × x

y = 3x

Hence the slope of the line is y = 3x

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Which is greater 2m or 275cm
Whitepunk [10]



There is 100 centimeters in 1 meter.

Change the meter to centimeter. Multiply: 2 x 100 = 200

200 cm < 275 cm ∴  is greater by 75 cm

5 0
1 year ago
Read 2 more answers
A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-squa
aleksandrvk [35]

Answer:

Equal df

Step-by-step explanation:

Given that a chi square test for goodness of fit is used to examine the distribution of individuals across three categories,

Hence degree of freedom = 3-1 =2

Similarly for a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories.

Here degree of freedom = (r-1)(c-1) where r = no of rows and c =no of columns

= (2-1)(3-1) = 2

Thus we find both have equal degrees of freedom.

3 0
2 years ago
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
skelet666 [1.2K]

Answer:  f(x) = (x + 3)(x – 7)

Step-by-step explanation:  Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)

f(x) = a(x-h)² + k   from vertex, h is 2   y is -25   from intercept,  x is 7  f(x) is 0

to find a,  0 = a(7-2)² +(-25)   0 = a(7-2)² -25  add 25 to both sides

25 = a(5)²  25 = 25a  25/25 = a  1=a  (seems useless but verifies implied "a"coefficient is 1)

f(x) = a(x-h)² + k solve to get the quadratic form

f(x) = (x-2)² -25     (x - 2)² is x² -4x +4

f(x) = x² -4x +4 -25  simplify

f(x) = x² -4x - 21   then factor

f(x) = (x + 3)(x - 7)

8 0
2 years ago
How many distinct pairs of disjoint non-empty subsets of A are there, the union of which is all of A?
Mrac [35]
A = {1, 2, 5, 6, 8}
{1} U {2, 5, 6, 8} 
{2} U {1, 5, 6, 8} 
{5} U {1, 2, 6, 8} 
{6} U {1, 2, 5, 8} 
{8} U {1, 2, 5, 6} 
{1, 2} U {5, 6, 8} 
{1, 5} U {2, 6, 8} 
{1, 6} U {2, 5, 8}
{1, 8} U {2, 5, 6} 
{1, 2, 5} U {6, 8} 
{1, 2, 6} U {5, 8}
{1, 2, 8} U {5, 6}
{1, 5, 6} U {2, 8}
{1, 5, 8} U {2, 6}
{1, 6, 8} U {2, 5} 
The answer is 15 distinct pairs of disjoint non-empty subsets.
5 0
1 year ago
Which expressions are equivalent to 4^{-2} \cdot 7^{-2}4 −2 ⋅7 −2 4, start superscript, minus, 2, end superscript, dot, 7, start
PolarNik [594]

Answer:

Step-by-step explanation:

Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.

Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:

4^{-2}•7^{-2} = 1/4^2 • 1/7^2

= 1/(4×4) • 1/(7×7)

= 1/16 • 1/49

= 1/(16×49)

= 1/784

4 0
2 years ago
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