a) (0, 1)
The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).
y - 4x = 1
y = 4x + 1
The y-intercept is (0,1).
b) k = 6.5
We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).
Therefore, our line is y = 2x - 3.
Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).
10 = 2x - 3
13 = 2x
x = 6.5
Hope this helps!
The two roots
and
are called <u>conjugate</u> radicals
<h3>Conjugate of a radical </h3>
The conjugate of a radical is the value which when multiplied with the radical expression clears the radical. Conjugates have the same numbers but the opposite sign in the middle.
The given roots are
and 
They have the same numbers but opposite signs in the middle.
Hence, the two roots
and
are called <u>conjugate</u> radicals
Learn more on Conjugate radicals here: brainly.com/question/20523059
#SPJ1
Answer:
X=3
Step-by-step explanation:
0.05(4x) + 0.1x = 0.90
0.2x + 0.1x = 0.90
0.3x = 0.90
x = 3
Answer:
The lenght of the tree sides of the triangle are:
first side: 21 inches
second side: 19 inches
third side: 33 inches
Step-by-step explanation:
a + b + c = 73
b = a - 2
c = a + 12
a = leght of the first side of the triangle
b = lenght of the second side of the triangle
c = lenght of the third side of the triangle
then:
a + (a-2) + (a+12) = 73
3a - 2 + 12 = 73
3a + 10 = 73
3a = 73 - 10
3a = 63
a = 63/3
a = 21 inches
b = a - 2
b = 21 - 2
b = 19 inches
c = a + 12
c = 21 + 12
c = 33 inches
Check:
21 + 19 + 33 = 73
related task:
https://brainly.lat/tarea/1029254