Answer: your answer would be A
Step-by-step explanation:
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
slope of AB x slope of CD = 1
The lines are on the same line.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A (3,5), B(−2,7), C(10,5), D(6,15).
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
The line AB.
Slope = (7 - 5) / (-2 - 3) = 2 / -5 = -2/5
The line CD.
Slope = (15 - 5) / (6 - 10) = 10 / -4 = -5/2
Now,
slope of AB x slope of CD.
= -2/5 x -5/2
= 1
This means,
The lines are on the same line.
Thus,
slope of AB x slope of CD = 1
The lines are on the same line.
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Find the missing side !!
Answer:
36?
Step-by-step explanation:
a recipe uses 2 1/4 cup of flower for a batch of cookies and henry makes 10 batch how much flower did he use
Answer:
22.5 flower
Step-by-step explanation:
please please please helpppp, (please show work if you can)
Answer:
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Step-by-step explanation:
From the figure, it is clear that:
m∠KIH = m∠HIJ + m∠KIJ
Given
m∠KIH = 68°m∠KIJ = (2x + 6)°m∠HIJ = (9x - 4)°now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation
m∠KIH = m∠HIJ + m∠KIJ
68° = (2x + 6)° + (9x - 4)°
switch sides
[tex]\left(2x+6\right)+\left(9x-4\right)=68[/tex]
Group like terms
[tex]2x+9x+6-4=68[/tex]
[tex]11x+2=68[/tex]
Subtract 2 from both sides
[tex]11x+2-2=68-2[/tex]
Simplify
[tex]11x=66[/tex]
Divide both sides by 11
[tex]\frac{11x}{11}=\frac{66}{11}[/tex]
Simplify
[tex]x=6[/tex]
Hence, the value of x = 6
Therefore,
m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°
m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
loook below find the area
Step-by-step explanation:
step 1. this is a trapezoid. the area A = (b1 + b2)h/2 where b1 is the bottom base and b2 is the top base (per se), and h is the height. this formula is the definition of the area of a trapezoid.
step 2. A = (b1 + b2)h/2 = (22 + 9)(5)/2
step 3. A = 31(5)/2 = 155/2 = 77.5in^2.
Help me pleasseeeeeeeeeeeee
Answer:
24 + 10 = 34
Step-by-step explanation:
a. 24 + b. 10 = ?= c. 34
Urgent!
1 1/6 - 3/6 =?
Answer:
1 4/6
Step-by-step explanation:
Answer:
I got 0.66
Step-by-step explanation:
si 33 es multiplo 11 setiene que 11 es divisor de 33
Answer:
ABOOMABALACACA VETE ALA VERGA
Step-by-step explanation:
CITA TIEMPOS
The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.
How much Angela payed for the couch
Answer:
697.05$
Step-by-step explanation:
Mark as brainliest
Factor the polynomial below.
x2 + 6x + 9
Answer:
Step-by-step explanation:
x²+6x+9=(x+3)²
Rewrite 5 ⋅ x + 5 ⋅ 8 using parentheses.
Answer:
(5 ⋅ X) + (5 ⋅ 8) =
Step-by-step explanation:
Which equation has a greater rate of change than the linear function in the table? A. y = 6x + 13 B. y = -4x-18 C. y = 5x–3 D. y = -3x + 2
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
If an 8 sided spinner has 2 one's, 2 two's, 2 three's, and 2 four's, what is the probability of spinning a 3?
Can you please help !!!!!!!!!!!!
Answer:
slope = 0
Step-by-step explanation:
[tex]m=\frac{change in y}{change in x}[/tex]
[tex]m=\frac{4-4}{2-1}[/tex]
[tex]\frac{0}{1}[/tex]
Divide 0 by 1 .
m = 0
good luck, hope this helps :)
Estimate the sum by first rounding each
mixed number to the nearest whole number
and then adding.
5 and 3/8 + 4 and 7/10
A line passes through the point (8, -9) and has a slope of 3/4 . Write an equation in point-slope form for this line.
Answer:
y+9=3/4(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=3/4(x-8)
y+9=3/4(x-8)
ILL GIVE 50 POINTS
Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
Option 3 is right
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Hope this helps:)
It is B from my point of view
12=4-4x
PLEASE HELPPP
Answer:
-2
Step-by-step explanation:
4x=4-12
4x=-8
X=-2
And answer is - 2
Which is the quotient if 3/5 and 1/10?
Answer:
6
Step-by-step explanation:
We have two fractions and are asked to find the answer if they both are divided.
3/5 and 1/10.
When we divide fractions, we need to follow KCF
KEEP - Keep the fractions
CHANGE - Change the division sign to a multiplication sign
FLIP - Flip the second fraction
Follow :
KEEP :
3/5 / 1/10
CHANGE :
3/5 * 1/10
FLIP :
3/5 * 10/1
Now we need to multiply, which is simple because it's multiplying across :
[tex]\frac{3*10}{5*1}[/tex]
30/5
Simplify by dividing the numerator and denominator by 5 :
[tex]\frac{30/5}{5/5} = \frac{6}{1}[/tex]
Divide the numerator by denominator :
[tex]\frac{6}{1} = 6[/tex]
In 2006, ford motor co. Sold 2.8 million cars. Of the average cost per car was $27,000. What were the total sales for ford.
Answer:
Seventy five billion six hundred million
Step-by-step explanation:
2.8 million x 27,000
se acabaron los bidones de 10 y se quieren envasar 1362 litros de agua ¿cual es la menor cantidad de envases que se pueden llenar?
Answer:
serían 136 y sobran 2
Step-by-step explanation:
porque al ser una botella de 10 litro y 1362 los dividimos nos da la cantidad de 136 se puede hacer mentalmente
Name two points on the line y = 6x. Does it describe a
proportional relationship?
Answer:
b. Non-proportional
Step-by-step explanation:
A table of values that represents a proportional relationship will have the same ratio of every pair in the given table. That is, y/x will result in the same value all through for every given pair.
The table of values given does not show a proportional relationship, because the ratio of y to x of each given pair of values are different and unequal:
y/x = 3/1 ≠ 5/2 ≠ 7/3 ≠ 9/4
Therefore, it is non-proportional.
hope i help
please help me | what is cos^6 x = cot^4*csc^2x-cot^4x????
Answer:
Write
csc
4
x
as
1
sin
4
x
and
cot
4
x
as
cos
4
x
sin
4
x
⇒
csc
4
x
−
cot
4
x
=
1
sin
4
x
−
cos
4
x
sin
4
x
=
1
−
cos
4
x
sin
4
x
Now recall that
a
2
−
b
2
=
(
a
−
b
)
⋅
(
a
+
b
)
and use this fact with
a
2
being and
b
2
being
cos
4
x
so that
a
is 1 and b is
cos
2
x
So
csc
4
x
−
cot
4
x
=
1
−
cos
4
x
sin
4
x
=
(
1
−
cos
2
x
)
⋅
1
+
cos
2
x
sin
4
x
But
cos
2
x
+
sin
2
x
=
1
so that
1
−
cos
2
x
=
sin
2
x
so
csc
4
x
−
cot
4
x
=
sin
2
x
⋅
1
+
cos
2
x
sin
4
x
=
1
+
cos
2
x
sin
2
x
=
(
1
sin
2
x
)
+
(
cos
2
x
sin
2
x
)
=
c
s
x
2
x
+
cos
2
x
Step-by-step explanation:
Answer:
so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true
Step-by-step explanation:
Item 4 Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%
Answer:
20 points
Step-by-step explanation:
We need to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Let x be the number of points.
ATQ,
[tex]\dfrac{x}{50}=\dfrac{40}{100}\\\\x=\dfrac{50\times 40}{100}\\\\x=20[/tex]
Hence, a student needs 20 points to get a score of 40%.
A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?
A. y = 25(1.2)^t
B. y = 25(1.1)^12t
C. y = 25(1.0167)^t
D. y = 25(1.01531)^12t
Answer:
b
Step-by-step explanation:
The exponential growth function is "[tex]y = 25(1.0167)^t[/tex]". A complete solution is below.
Given:
Population,
25Increasing rate,
r = 20%Now,
The value after 1 year will be:
= [tex]25+(\frac{20}{100} )25[/tex]
= [tex]25+\frac{1}{5}\times 25[/tex]
= [tex]25+5[/tex]
= [tex]30[/tex]
Now
→ [tex]25(1+\frac{R}{100} )^{12} =30[/tex]
→ [tex]R = 1.67[/tex]
hence,
The exponential growth rate to find the monthly growth rate will be:
→ [tex]y = 25(1.0167)^t[/tex]
Thus the above answer i.e., option C is the correct alternative.
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Convert the number to scientific notation.
62,004,100=
x10
+
VI
B.
what is 2(x+6)-6x in simplest form
Answer:
-4x + 12
Step-by-step explanation:
2(x+6)-6x
2x + 12 - 6x
combine llike terms
2x - 6x = -4x
-4x + 12
Answer:
2(x+6)-6x=-4x+12
Step-by-step explanation:
So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x
I simplified 2x+12-6x and I got -4x+12
I NEED HELP QUICKLYYYY
6
Consider this right triangle.
15
C с
12
B
Enter the measure of ZCAB to the nearest hundredth degree.
Step-by-step explanation:
sinA=p/h
sinA=12/15
A=sin-¹(4/5)=53.13=53°
<CAB=53°
The measure of ∠CAB is 53°.
What is Trigonometry?The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc).
As per the given data:
From the given diagram, we can clearly understand that the triangle is a right-angled triangle which is right-angled at C.
We have to find out the measure of ∠CAB.
The lengths of the sides BC and AB is also given in the diagram.
For finding out the measure of ∠CAB we can consider BC as the perpendicular and AB as the hypotenuse, and then we have to use the appropriate trigonometric ratio.
The length of the perpendicular BC = 12 units
The length of the hypotenuse AB = 15 units
For relating perpendicular and hypotenuse, we can use the sin trigonometric ratio.
sinθ = Perpendicular / Hypotenuse
sinθ = BC / AB
sinθ = 12 / 15
sinθ = 4 / 5
θ = 53°
The measure of ∠CAB is 53°.
Hence, The measure of ∠CAB is 53°.
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The summit charges $4 fee and $3 per hour to rent a kayak. Extreme Paddling charges a $5 fee and $2 per hour to rent a kayak. Write a system of equations to represent the situation, using x for number of hours and y for cost.
Answer:
The answer would be S=4x+3y and E=5x+2y
Solve for c.
-2c = 8
Answer:
c = -4
Step-by-step explanation:
8/-2 = -4