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nekit [7.7K]
3 years ago
8

What is the equation of the line whose y-intercept is 3 and slope is 1?

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m is the slope

b is the y intercept

if m = 1 and b = 3 then

y = x + 3

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Brian needs to paint a logo using two right triangles. The dimensions of the logo are shown below. What is the difference betwee
solong [7]

Answer:

7.5 cm²

Step-by-step explanation:

Dimensions of the large ∆:

base (b) = 3cm, height (h) = 9cm

Area = 0.5*b*h = 0.5*3*9 = 13.5 cm^2

Dimensions of the small ∆:

base (b) = 2cm, height (h) = 6cm

Area = 0.5*b*h = 0.5*2*6 = 6 cm^2

Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²

5 0
3 years ago
Square root of -19 in terms of i​
yulyashka [42]

Answer:

i√19

Step-by-step explanation:

Because √(-19) = √(-1)√19, and because √(-1) = i, we get i√19

7 0
3 years ago
Find the slope-intercept form of the equation of the line that has the given properties (m is the slope). passes through (2, 2);
Mkey [24]
Y = -1x+b
replace x and y to find b
2 = -1*2+ b
b = 4

Final:
y = -1x + 4
7 0
3 years ago
Jaclyn started the week with $284.28 in her checking
Mashcka [7]

Answer:

$165.62

Step-by-step explanation:

284.28-40-48.39-30.27=165.62

5 0
3 years ago
Read 2 more answers
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
iren2701 [21]

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

5 0
2 years ago
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