I'm not sure what you mean by 3 or 6a^9, since there are only variables in the photo, but we can try breaking it down.
Let's start with the bottom,
a^2 * a^3 would be a^5 because for exponents you add the exponents of what's multiplied (product rule)
Then using the quotient rule, where you subtract the exponents, a^5/a^5 = a^(5-5)
And anything to the 0th power is 1, so your answer should be 1
Hope that helps!
The measure of the exterior angle of the triangle is
Answer:
Step-by-step explanation:
Hi! So far, in the question provided, you have two of the three angles that you need to find x. To find x, you need all three interior angles of the triangle. When you look at the image, you can see that (7x-16) is a complementary angle to the interior angle we need. To find the final angle of the triangle, you are going to take 180 - (7x-16). This is going to give you the interior angle to be (196-7x).
Now that we know all three angles for the inside of the triangle, we can find the value of x. We know that all of the angles inside of a triangle add up to 180 degrees. This is going to help you find x:
180 = (x+8) + (4x) + (196-7x)
180 = x + 8 + 4x + 196 - 7x
180 = -2x + 204
-24 = -2x
12 = x
Now that we have have the value of x, we can solve for the exterior angle.
(7(12) - 16) = 68 degrees
Hope this helps!
Answer:
68°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
4x + x + 8 = 7x - 16 add like terms
5x + 8 = 7x - 16 export like terms to the same side
8 + 16 = 7x - 5x
24 = 2x divide both sides by 2
12 = x
The measure of exterior angle 7x - 16 ➡ 7 × 12 - 16 = 68°
What is the first step in the standard construction of the perpendicular bisector of MN¯¯¯¯¯¯¯ ?
A.
Use a straightedge to draw a line perpendicular to line segment MN¯¯¯¯¯¯¯ .
B.
Use a straightedge to draw a line parallel to line MN¯¯¯¯¯¯¯.
C.
Use a compass to draw one arc with point M at the center and intersecting point N.
D.
Use a compass to draw two intersecting arcs with centers at points M and N.
Answer:
C. Use a compass to draw one arc with point M at the center and intersecting point N.
Step-by-step explanation:
I took the test and got it right.
Your welcome :)
Using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.
What are perpendicular bisectors?Lines that cut through the middle of each side of a triangle and are perpendicular to the specified side are known as the perpendicular bisectors of the triangle.
The standard construction of the perpendicular bisector of MN will be,
Step 1: Sketch a line segment with any appropriate length, XY.
Step 2: Using a compass, draw arcs above and below the line segment, with X serving as the center and XY's width greater than 50%.
Step 3: Carry out Step 2 but use Y as the center. Step 4: Write "P" and "Q" next to the junction points.
Thus, using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.
Learn more about the perpendicular bisectors here,
https://brainly.com/question/24753075
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No need to show work just need answer.
The perimeter of a rectangle is 56 cm . The length of the rectangle can be represented by 6x-7 and it’s width by 2x+3.what are the dimensions of this rectangle in centimeters
Answer:
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Step-by-step explanation:
From Geometry we remember that the perimeter ([tex]p[/tex]), measured in centimeters, of a rectangle is determined by the following formula:
[tex]p = 2\cdot w +2\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width of the rectangle, measured in centimeters.
[tex]l[/tex] - Length of the rectangle, measured in centimeters.
If we know that [tex]p = 56\,cm[/tex], [tex]l = 6\cdot x - 7[/tex] and [tex]w = 2\cdot x + 3[/tex], then the value of [tex]x[/tex] is:
[tex]2\cdot (2\cdot x +3)+2\cdot (6\cdot x-7) = 56[/tex]
[tex]4\cdot x +6 +12\cdot x -14 = 56[/tex]
[tex]16\cdot x-8 = 56[/tex]
[tex]16\cdot x = 64[/tex]
[tex]x = 4[/tex]
And the length and the width of the rectangle are, respectively:
[tex]l = 6\cdot (4)-7[/tex]
[tex]l = 17\,cm[/tex]
[tex]w =2\cdot (4)+3[/tex]
[tex]w = 11\,cm[/tex]
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Plz help asap I need this for my test student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)
perimeter.
Explain the mistake that was made in the simplified expression. Include the correct simplified expression in your explanation. Be sure to use math vocabulary words.
Answer:
How many times did you ask this lol
Step-by-step explanation:
An airplane can seat up 175 passengers
okay okay 123
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
175-87=88 so 88 is where the dot needs to be located so we have option A and option B
For ≤ and ≥ , use a closed dot
For > and < , use a open dot
she said AT LEAST 175
so we would use a closed dot
Can somebody help me with this please?
You put this very long ago do you still need help????? :|
Answer:
im sorry i cant
Step-by-step explanation:
Find the measure of each angle indicated.
2)
50°
?
A) 60°
B) 50°
C) 130°
D) 940
You are renting a cabin that changes you a processing fee along with a daily rate. The total charge for this cabin is represented by the equation y=4x+35,where y represents the total cot and x represents the length of stay in days. How much would you be charged for 20 days at this cabin
Answer:
y= 115
Step-by-step explanation:
Step one:'
given data
The total charge for this cabin is represented by the equation
[tex]y=4x+35[/tex]
we are told that y represents the total cost and x represents the length of stay in days
Required:
the value of y when x= 20
Step two:
substitute
[tex]y=4(20)+35\\\\y=80+35\\\\y=115[/tex]
are the 2 triangles congruent?
Answer:
Yes
Step-by-step explanation:
They are just in the opposite side
PLEASE HELP ASAP!!
j^4-5j^3+10j
Answer:
B) j(j^3-5j^2+10)
Step-by-step explanation:
Given: [tex]j^4-5j^3+10j[/tex]
Factor out j: [tex]j(j^3-5j^2+10)[/tex]
We cannot factor out anymore, so the final answer is B) j(j^3-5j^2+10)
Need help resolving the following quadratic expressions:
a) 4x -4x -15 = 0
b) 2y +7y + 3 +0
Answer:
first answer for (a) is -15=0
second answer for (b) is =9y+3
Step-by-step explanation:
its juss so easy
which graph represents a function? please help
Answer:
C
Step-by-step explanation:
Answer:D
Step-by-step explanation: a function has only one output value for each input value
please answer if u know
Answer:
9 dollars
Step-by-step explanation:
let x be per mile
the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay
The x is 12 since you have to go 12 miles
0.5(12)+3=amount you have to pay
6+3=amount you have to pay
$9=mount you have to pay
15 POINTS AND BRAINLIEST Which function represents a quantity growing exponentially?
Answer:
A
Step-by-step explanation:
find the values of x and y
Answer:
61=x cortical opposite angle
61=y corresponding angle
Answer:
61=x and 61=y
Step-by-step explanation:
I think that bout right
What is the measurement of
127^*
A.13
В.35
С.53
D.73
Answer:
C
Step-by-step explanation:
Because if you do the multiplication then you would know that it was c
HELPP PLEASEEEEE 42 POINTS !!! what is 6( -3w + 1/3) =
Answer:
2 - 18w or -18w + 2
Step-by-step explanation:
6(-3w + 1/3)
Multiply using distrubutive property
-18w + 6(1/3)
Multiply 6 * 1/3 to get 6/3 or 2
-18w + 2
This is optional, but put the variable term on the right
2 + (-18w)
2 - 18w
Use the distributive property to write an equivalent expression. 2.5 ( w + 3 )
Answer:
2.5w + 7.5
Step-by-step explanation:
2.5(w+3)
2.5w+7.5
Area of a right triangle (7,6)
Answer: The answer is 21
Step-by-step explanation:
The area formula is 1/2 bh so if you take if you put the numbers into formula it = a=1/2(6)(7)
PLZ help me i will give you ten points for it and for helping me on the rest of the 6 problems PLZ HELP!!
Answer:
Yes, I believe so.
Step-by-step explanation:
When you look at this equation on a graphing table, it is a straight line that goes directly through the 0,0 cords.
I hope this helped!
If it's wrong I'm very sorry!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
72 is what percent of 480? Write and solve an equation to solve the problem.
Answer:
'is' over 'of' equals '%' over 100
Step-by-step explanation:
72/480 = x/100
if you cross multiply you get 480x = 7200
x = 15/100 which is 15%
Graph the line that passes through the points (-2, - 7) and (5,0) and determine
the equation of the line.
Can somebody please help me
Answer:
Step-by-step explanation:
the shaded area would be
200*75=15,000 ft^2
from this are we have to subtract the are of the house and of the garage
house= 40*40=1600
garage=24*30=720
house and garage= 1600+720=2320
15,000-2320=12,680
Answer:
12680 ft²
Step-by-step explanation:
First we will find the area of the house and then the garage.
They're both rectangles so we should use this formula [tex]A=l*w[/tex].
Area Of The House:
[tex]A=l*w\\A=40*40\\A=1600ft^2[/tex]
Area Of The Garage:
[tex]A=l*w\\A=24*30\\A=720ft^2[/tex]
Adding the two areas:
Now we have to add the two together to find how much of the space they take up in the yard.
[tex]1600+720=2320[/tex]
Area Of The Yard:
[tex]A=l*w\\A= 200*75\\A=15000ft^2[/tex]
Subtracting The Two Areas To The Yard's Area:
[tex]15000-2320=12680ft^2[/tex] and that is it!
If y=32 when x=8, find y when x=30.
the electricity goes out in a house the temperature in the house changes by -8 F in 4 hours on average, by how many degrees is the temperature changing per hour
Select the correct answer.
If the function y= x - 31 is a linear function, what is the value of a?
OA 1
OB. 2
OC. 3
OD. 4
Answer:
a=1
Step-by-step explanation:
This is assuming that by A you mean y=ax+b. So you have y=x-31, following the y=ax+b equation, A is the coefficient in front of x, which is 1.
HELP ASAP! WILL MARK BRAINLIEST! PLEASE ANSWER CORRECTLY THIS IS VERY IMPORTANT!!!!
Answer:
You should put "no solution" into the parallel lines box,
you should put "infinite solutions" into the coinciding lines box,
you should put the "(0,0)" and the "(3,-2)" into the intersecting lines box.
Step-by-step explanation:
determine the measure of each segment then indicate whether the statements are true or false
Answer:
[tex]d_{AB}\ne d_{JK}[/tex]
[tex]d_{AB}\ne \:d_{GH}[/tex]
[tex]d_{GH}\ne \:d_{JK}[/tex]
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Step-by-step explanation:
Considering the graph
Given the vertices of the segment AB
A(-4, 4)B(2, 5)Finding the length of AB using the formula
[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]
[tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]
[tex]=\sqrt{6^2+1}[/tex]
[tex]=\sqrt{36+1}[/tex]
[tex]=\sqrt{37}[/tex]
[tex]d_{AB}\:=\sqrt{37}[/tex]
[tex]d_{AB}=6.08[/tex] units
Given the vertices of the segment JK
J(2, 2)K(7, 2)From the graph, it is clear that the length of JK = 5 units
so
[tex]d_{JK}=5[/tex] units
Given the vertices of the segment GH
G(-5, -2)H(-2, -2)Finding the length of GH using the formula
[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]
[tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]
[tex]=\sqrt{3^2+0}[/tex]
[tex]=\sqrt{3^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]d_{GH}\:=\:3[/tex] units
Thus, from the calculations, it is clear that:
[tex]d_{AB}=6.08[/tex]
[tex]d_{JK}=5[/tex]
[tex]d_{GH}\:=\:3[/tex]
Thus,
[tex]d_{AB}\ne d_{JK}[/tex]
[tex]d_{AB}\ne \:d_{GH}[/tex]
[tex]d_{GH}\ne \:d_{JK}[/tex]
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
A proportional relationship between y and x. When x = 3, y=−4 .
What is the constant of proportionality, k?
Enter your answer as a simplified or improper fraction in the box.
k =
Answer:
k = 4/3
Step-by-step explanation:
Formula for k: y/x
If y = 4 and x = 3, then we use the formula (y/x) in order to find the constant of proportionality:
k = 4/3