What is two more than 4 times the sum of t and 7 is equal to the current temperature written as an expression?
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Please Help!!!!1) A telephone pole is 60 feet tall. It casts a shadow that is 24 feet long. A tree that is next to the telephone pole is 15 feet tall. How long is the shadow of the tree?4 feet6 feet15 feet20 feet 2) A building with a height of 40 m casts a shadow that is 30 m long. A statue next to the building casts a shadow that is 6 m long. How tall is the statue? 8 m5 m2 m1.5 m
Solve the system using any method.y = 3x + 2y = 7x - 10
55 is 40% of what number?
Complete the following statement. Write sometimes, always, or never.Trapezoids are ________ parallelograms.
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Answer:
Inverse function are symmetric with respect to line y=x.
It can be written as:
and
Let's rewrite the given function notation by using y term.
f(x) = 6x-1
i.,e y = 6x-1
Let's solve this equation for x;
Add 1 to both sides we get;
y+1 =6x
Divide both sides by 6 we get;
Now, switch the "x" and "y" we have;
In the function notation:
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they are both behind the decimal point
Line 1
x y
–2 7
0 6
Line 2
x y
3 0
0 –3
A.
0
B.
exactly 1
C.
exactly 2
D.
infinitely many
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the choices:
0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell
1 solution: lines intercect in 1 point
2 solutions: curvy line with a straight line thorugh middle
infinetly solutions: same line
to find slope you do
slope=(y1-y2)/(x1-x2)
first line is
(2,-7)
(0,6)
(x,y)
x1=2
y1=-7
x2=0
y2=6
subsitute
(-7-6)/(2-0)=-13/2
slope=-13/2
subsitute
y=-13/2x+b
subsitute one of the points
(0,6)
x=0
y=6
6=-13/2(0)+b
6=0+b
6=b
y=-13/2+6
now solve for the other equation
(3,0)
(0,-3)
x1=3
y1=0
x2=0
y2=-3
subsitute
(0-(-3))/(3-0)=(0+3)/(3)=3/3=1
y=1x+b
subsitute
(3,0)
x=3
y=0
0=1(3)+b
0=3+b
subtract 3
-3=b
y=x-3
we have the lines
y=-13/2x-6 and
y=x-3
solve for a common solution
y=x-3 and y=-13/2x-6 therefor
x-3=-13/2x-6
add 6 to both sides
x+3=-13/2x
multiply both sides by -2
-2x-6=13x
add 2x to both sides
-6=15x
divide both sides by 15
-2/5=x
subsitute
y=x-3
y=-2/5-3
y=-3 and 2/5 or -17/5
the solution is (-2/5, -17/5)
there is only one solution
the answer is B
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3 + 4 = 7. = 4 + 3
Division is not commutative.
3 / 4 is not = 4 / 3.
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To find perimeter, you just add up all side lengths together, so let's compare the two options to find out which one has a greater perimeter.
Let's try the first option first.
That would be 6 + 6 + 1 + 1, which is 14.
Let's try the other one.
3 + 3 + 2 + 2 = 10
The first option (width 1, length 6) would yield the greatest perimeter.
Hope that helped! =)
B.angle DEF is an acute angle
C.angle DEF is an obtuse angle
D.angle DEF is a straight angle
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When we draw a circle with the centre at D and have a tangent HF to the circle D at point E, the angle DEF will be a right angle.
In other words angle DEF = 90 degrees
Since HF, the tangent, is a straight line, the other angle DEH should also be = 90 degrees because the straight line has an angle of 180 degrees
Therefore angle DEF = angle DEH = 90 degrees
Therefore, angle DEF is congruent to angle DEH (Option A)