Slope-intercept form of a line is y=mx+b.
Where m= slope and b= y-intercept.
First step is to compare the given equation y=35x+8 with the above equation to get the value of m.
After comparing the two equations we will get m=35.
Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.
Now the line is passing through (-10,4).
Point slope form of a line is :
Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,
y-4=35(x-(-10)
y-4=35(x+10)
y-4=35x+350
y=35x+350+4
y=35x+354.
So, the equation of the line is y=35x+354.
Answer:
The correct answer is option 3
2⁻¹⁰ and 1/1024
Step-by-step explanation:
Points to remember
1). ( xᵃ)ᵇ = xᵇ
2). x⁻ᵃ = 1/xᵃ
It is given that, (2⁵)⁻²
<u>To find the equivalent of (2⁵)⁻²</u>
(2⁵)⁻² = 2⁻¹⁰
<u>To find the value of 2⁻¹⁰</u>
2⁻¹⁰ = 1/2¹⁰
2¹⁰ = 1024
1/2¹⁰ = 1/1024
Therefore the correct answer is 3rd option
2⁻¹⁰ and 1/1024
Perpendicular is slope multiplies to -1
for
ax+by=c
slope=-a/b
4x-3y=6
-a/b=-4/-3=4/3
perpendicular to 4/3 is -3/4
point slope form
y-y1=m(x-x1)
for slope=m
a point is (x1,y1)
point (4,-2)
slope is -3/4
y-(-2)=-3/4(x-4)
y+2=-3/4(x-4)
or converted
y=-3/4x+1
or
3x+4y=4
Answer:
C) x also increases 5 times its original value
35/5=7
70/10=7
Step-by-step explanation:
Answer: <span>P(Female | Type B) < P(Female or Type B)
</span>
In this question, there is 85 Type A female and 12 type B female which makes a total of 97 female. There is also 38 male Type B from a total of 113 male. Then the probability would be:
female type B = type B female/ total female
female type B = 12/97
Female or Type B= Female + type B male/ total
Female or Type B= 97+38/ 97+113= 135/ 210
It should be clear that <span>P(Female | Type B) < P(Female or Type B)
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