For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, and in this case:
-m/4=-1
-m=-4
m=4, so the slope of the perpendicular line is 4 so we have thus far:
y=4x+b, using point (-4,3) we can solve for the y-intercept, "b"
3=4(-4)+b
3=-16+b
19=b, so our line is:
y=4x+19
Answer:
Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.
Step-by-step explanation:
The sum of rational numbers gives a rational number;
+ = 
, because the evaluation of the denominator always results to a non-zero integer.
The product of x = 
, which multiply both numerator and denominator to give integer numbers.
The sum and product of rational and irrational numbers are always irrational numbers, for instance,
x 7 = 2.3 , which is a number which decimal points that can only be represented by the product irrational number and rational number , where 7 is an irrational number.
+ 7 = 7 , which is a whole number and fractional number combined.
Answer:
d) 1
Step-by-step explanation:
3a = –2b – 7
We have the point (a, -5) so b = -5
Substituting in
3a = -2(-5) -7
3a = 10-7
3a = 3
Divide each side by 3
3a/3 = 3/3
a =1
Answer:
28 cm
Step-by-step explanation:
Given that :
Area = 791 cm
Base, b1 = 26.5 cm
Base, b2 = 30 cm
Area, A of trapezoid :
A = 1/2 (a + b) h
Where a and b are the bases ;
791 = 1/2(26.5 + 30)h
791 = 0.5(56.5)h
791 = 28.25h
h = 791 / 28.25
h = 28 cm
Answer:
Step-by-step explanation:
5w+10=40
5w=40-10
5w=30
w=30/5
w=6
Answer: A) 6
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10k+5=65
10k=65-5
10k=60
k=60/10
k=6
Answer: k=6
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2b-15=33
2b=33+15
2b=48
b=48/2
b=24
Answer: b=24
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3d+18=21
3d=21-18
3d=3
d=3/3
d=1
Answer: d=1
