The value of the variable expression 6.(x- 9) - 5 when x = 5 is -29.
To evaluate the variable expression for x = 5, we simply substitute 5 for x in the expression.
6.(x- 9) - 5 = 6.(5- 9) - 5
= 6.(-4) - 5
= -24 - 5
= -29
Therefore, the value of the variable expression 6.(x- 9) - 5 when x = 5 is -29.
For such more question on expression
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Find the midpoint of the segment in the diagram
Answer:
(-1/2,1/2)
Step-by-step explanation:
We have the two endpoints
(-3,-2) and ( 2,3)
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-3+2)/2 = -1/2 =-1/2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(-2+3)/2 = 1/2
The midpoint is (-1/2,1/2)
Angle of elevation __________ Angle of depression
Select one:
a. is complementary to
b. equals the
c. is supplementary to
d. >
Answer:d
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!
Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds
Answer:
3 MIN AND 46 SECONDS. ITHINK BUT DONT QUOTE ME
Step-by-step explanation:
write 2.463 in expanded form and word form
Answer:
Standard Form:
2.463
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
2
+ 0.4
+ 0.06
+ 0.003
Expanded Factors Form:
2 × 1
+ 4 × 0.1
+ 6 × 0.01
+ 3 × 0.001
Expanded Exponential Form:
2 × 100
+ 4 × 10-1
+ 6 × 10-2
+ 3 × 10-3
Word Form:
two and four hundred sixty-three thousandths
Factor x 2 + 29x - 30.
(x + 15)(x - 2)
(x + 1)(x - 30)
(x - 1)(x + 30)
Answer:
Step-by-step explanation:
x² + 29x - 30
Product = -30
Sum = 29
Factor = 30 * (-1)
x² + 30x - 1x - 30 = x*(x + 30) -1*(x +30)
= (x + 30) (x - 1)
Answer:
(x - 30)(x - 1)
That's your answer!!!
Using the distributive property to transform 4(x +3) = 3(3x -1) how do I substitute 3 for x to see if it’s a true statement?
Answer:
4(3+3)=3(3(3)-1)
Step-by-step explanation:
1) plug in the three
2) distribute
3) see if the answers gotten are the same if not than the statement is wrong
I know it looks a bit complicated but its not once you get the hang of it
Which ordered pairs could be points on a line parallel to the line that contains (3,4) and (-2,2) check all that apply.
Options:
(-2,-5) and (-7,-3)
(-1,1) and (-6,-1)
(0,0) and (2,5)
(1,0) and (6,2)
(3,0) and (8,2)
Answer:
B: (-1, 1) and (-6, -1)
D: (1, 0) and (6, 2)
E: (3, 0) and (8, 2)
Step-by-step explanation:
Hope this helps! :D
Answer:
there' yo answer. B,D,E
What is the domain of the function y=2ex graphed below?
Answer:
I´m pretty sure its all real numbers
Step-by-step explanation:
Well I already know that y=0,and the domain would be (-∞,∞)
hope this helps!
Answer: d. all real numbers!!
Step-by-step explanation:
Edge
What is the median of the set of values?
591 27 3 1 8 8 1 3
Answer:
The median is 5.5.
What are the coordinates of vertex F of parallelogram FGHJ? (–2, 2) (–2, 6) (–3, 4) (–4, 2)
Question:
Parallelogram f"g"h"j" is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj. The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)
what are the coordinates of vertex f of parallelogram fghj?
(–2, 2)
(–2, 6)
(–3, 4)
(–4, 2)
Given:
Given that the the coordinates of the parallelogram f''g''h''j'' is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj.
The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)
We need to determine the coordinates of vertex f of parallelogram fghj.
Reflection across y - axis:
The general rule to reflect the coordinate across y - axis is given by
[tex](x,y) \rightarrow (-x,y)[/tex]
Substituting the coordinate f''(3,4), we get;
[tex](3,4)\rightarrow (-3,4)[/tex]
Thus, the coordinates of f'' of reflection across the y - axis is (-3,4)
Translation T1,2(x, y):
The translation can be performed using the rule,
[tex]T_{1,2}(x,y)=(x+1,y+2)[/tex]
Now, substituting the coordinate (-3,4), we get;
[tex]T_{1,2}(-3,4)=(-3+1,4+2)[/tex]
[tex]T_{1,2}(-3,4)=(-2,6)[/tex]
Thus, the coordinates of vertex F is (-2,6)
Hence, Option b is the correct answer.
The answer is D) (-4,2) on Edge 2020
Find the range of the data set 145,612,120,349,515,212,590
Answer:
the range is 492
Step-by-step explanation:
to find range you have to subtract the smallest number from the largest number so you would subtract 120 from 612 which gets you 492
Answer:
The range in the following data set is 470.
Step-by-step explanation:
It's easy, you just have to subtract the highest number from the data set with the lowest number.
So the highest value in this data set would be 590 and the lowest number in the list is 120.
So:
Range: 590 - 120 = 470
~hope this helps~
A book is markdown by 28% from an original price of $19.50. What is the new price?
Answer:
$14.04
Step-by-step explanation:
19.50 - 28%·19.50 =
= 19.50 - 28·19.50/100
= 19.50 - 546/100
= 19.50 - 5.46
= $14.04
Factor completely. -5 x2y + 10 xy - 15 xy2
I need help.
Answer:
[tex]5\,x\,y\,(-x+2-3y)[/tex]
Step-by-step explanation:
Always proceed by first extracting all common factors to all terms:
Notice that the factors: 5, x, and y are present in all terms, so we can extract them from the trinomial:
[tex]-5x^2y+10xy-15xy^2\\5\,x\,y\,(-x+2-3y)[/tex]
Now, the trinomial left (-x+2-3y) cannot be factored out, so then factoring is complete.
find the area of the shaded porrion
Answer: 111.72 m^2 if they want round its 112
Is from O to C 14m
A=pixr^2
3.14x14^2= 615.44 m/2 half circle = 307.72
Area of triangle A= 1/2bh. .5x28x14=196
307.72-98=196= 111.72 m^2
Step-by-step explanation:
What is the volume of a 3-foot-tall cylindrical trash can with a 1-foot radius?
Answer:
The volume of the cylinder in feet is
V= 9.43ft³
Step-by-step explanation:
Step one
The formula for the volume of a cylinder is given as
V=πr²h
Where r= radius
h= height
Step two
Given Data
Radius = 1foot
Height = 3 feet
Substituting in our formula we have
V=3.142*1²*3
V= 9.43ft³
Answer:
i just got this question... It was B
3pie ft^3
Step-by-step explanation:
Does the following equation determine y to be a function of x? Y2=x+3
Answer:
no
Step-by-step explanation:
cant mult. by power of 10
Answer:
no
Step-by-step explanation:
Jane is the regional manager of Graphic DesignWorks. She earns an annual
salary of $82,500. She manages 5 branches of Graphic Design Works equally.
How much of her salary will each branch pay for?
O
A. $16,500
O B. $25,800
O C. $20,625
O D. $50,000
Answer:
A. $16,500
Step-by-step explanation:
82500/5
last week Tom spent 1/10 hour less time than normal exercising. How much time did Tom spend exercising last week explain?
Answer: 54 minutes
Step-by-step explanation: Given that Tom spent 1/10 hour less time than normal exercising.
Let the normal exercising hour = H
Tom spent 1/10 hour less time than normal exercisin. That is
Tom spent = H - 1/10H
Tom spent = 9/10 hours
The much time Tom spent exercising last week will be
9/10 × 60 = 54 minutes
LOTS OF POINTS, EASY QUESTION
Answer:
1/3
Step-by-step explanation:
Take the model size and divide by the original size by using the length
7/21 = 1/3
The scale factor is 1/3
We check by using the width
5/15 = 1/3
The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6. What is the:
VOLUME OF THE FRUSTUM
SURFACE AREA OF THE FRUSTUM
I NEED HELP PLEASE PLEASE PLEASE
The volume is 201√2 and the surface area is 274.
To solve the problem, we need to calculate both the volume and the surface area of the frustum of a regular square pyramid with given dimensions.
First, let's find the volume of the frustum. The volume V of a frustum of a pyramid can be calculated using the formula:
[tex]\[ V = \frac{1}{3}h(B_1 + B_2 + \sqrt{B_1B_2}) \][/tex]
where h is the height of the frustum, [tex]\( B_1 \)[/tex] is the area of the smaller base, and [tex]\( B_2 \)[/tex] is the area of the larger base.
Given that the edges of the bases are 5 and 9, the areas of the bases are:
[tex]\[ B_1 = 5^2 = 25 \] \[ B_2 = 9^2 = 81 \][/tex]
To find the height , we can use the Pythagorean theorem on the right triangle formed by the slant height, half of the difference of the base edges, and the height of the frustum:
[tex]\[ h = \sqrt{s^2 - \left(\frac{a_2 - a_1}{2}\right)^2} \][/tex]
where s is the slant height, [tex]\( a_1 \)[/tex] is the edge of the smaller base, and [tex]\( a_2 \)[/tex] is the edge of the larger base. Plugging in the given values:
[tex]\[ h = \sqrt{6^2 - \left(\frac{9 - 5}{2}\right)^2} = \sqrt{36 - 4} = \sqrt{32} = 4\sqrt{2} \][/tex]
Now we can calculate the volume:
[tex]\[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (25 + 81 + \sqrt{25 \cdot 81}) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (106 + \sqrt{2025}) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (106 + 45) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot 151 \] \[ V = \frac{1}{3} \cdot 604\sqrt{2} \] \[ V = 201\sqrt{2} \][/tex]
Next, let's calculate the surface area of the frustum. The surface area \( A \) of a frustum is the sum of the areas of the two bases and the area of the lateral surface:
[tex]\[ A = B_1 + B_2 + A_{\text{lateral}} \][/tex]
The lateral surface area [tex]\( A_{\text{lateral}} \)[/tex] can be found using the formula:
[tex]\[ A_{\text{lateral}} = \frac{1}{2}(P_1 + P_2)s \][/tex]
where [tex]\( P_1 \)[/tex] and [tex]\( P_2 \)[/tex] are the perimeters of the smaller and larger bases, respectively, and s is the slant height. Since the pyramid is regular and square:
[tex]\[ P_1 = 4a_1 = 4 \cdot 5 = 20 \] \[ P_2 = 4a_2 = 4 \cdot 9 = 36 \][/tex]
Now we can find the lateral surface area:
[tex]\[ A_{\text{lateral}} = \frac{1}{2}(20 + 36) \cdot 6 \] \[ A_{\text{lateral}} = \frac{1}{2} \cdot 56 \cdot 6 \] \[ A_{\text{lateral}} = 28 \cdot 6 \] \[ A_{\text{lateral}} = 168 \][/tex]
Adding the areas of the bases:
[tex]\[ A = 25 + 81 + 168 \] \[ A = 274 \][/tex]
Therefore, the volume and surface area of the frustum are:
[tex]\[ {V = 201\sqrt{2}} \] \[ {A = 274} \][/tex]
Solve -2x + 1 < -3
x < 2
x > 2
x = 2
Answer:
x > 2
Step-by-step explanation:
-2x+1 < -3
-1 -1
-2x < -4
-2x/-2 < -4/-2
x>2
You reverse the sign when dividing by a negative number.
Step-by-step explanation:
x>2
−2x+1<−3
−2x<−3−1
−2x<−4
x>-4/-2
x>4/2
x>2
Can you explain it and help me out pleasssee
B is the correct answer.
Answer:
B.
Step-by-step explanation:
Answer:
B. x= -1, x=3
Step-by-step explanation:
4x²-8x -12 =0 /:4
x² - 2x -3=0
x² - 3x + x -3 = 0
x(x-3) + 1(x-3)=0
(x-3)(x+1)=0
x-3 =0 or x+1 =0
x=3 and x = -1
I know the answer is 11, but can anyone explain to me why?
(I will mark the first one to answer as brainliest!!)
Answer:
we know that the most repeated value is mode and here we can see that the most repeated value is 11 that is 20 times so it's mode is 11.
Hope you understood
please help
A parallelogram is shown below:
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle?
Answer:
Step-by-step explanation:
part A. area = L X H
9 x 8/9 = 72/9 = 8 square feet
Part B. Draw a line diagonally either between Point A & C or B & D, this would make 2 triangles.
the area of the triangle would be half of the full area so 8 / 2 = 4 feet square
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is square units
B17, -2)
C(4,-6)
Question:
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is ______ square units.
Cordinates are given below.
A(-9, 10)
B(7, -2)
C(4,-6)
Answer:
50 square units
Step-by-step explanation:
Image to question is attached.
Given:
Length of BC = 5 units
Coordinates:
A = (-9, 10)
B= (7, -2)
C = (4, -6)
Let's take BC as base, and AB as height.
Since we know length of BC, let's find length of AB.
Length of AB =
[tex] \sqrt{(-9 - 7)^2 +(10 + 2)^2 [/tex]
[tex] = \sqrt{(256)+(144) [/tex]
= 20.
Therefore, the area of triangle ABC [tex] = \frac{1}{2} b*h [/tex]
[tex] = \frac {1}{2} * 5 * 20 [/tex]
= 50 square units.
Answer: 50
Step-by-step explanation:
Carla, the baker, worked for 5 hours to make cookies. She made 380 cookies altogether. Write an equation to express how many cookies Carla made each hour.
The area is 60 squared units. perimeter is 38 units list all combinations & identify the correct dimension
Answer:
The dimensions are lenght = 15 units
And width = 4 units
Step-by-step explanation:
Kindly refer to the attached image for explanations
Perimeter math problem.
Work out the percentage change to 2 decimal places when a price of £70 is increased to £99
Answer:
41.43%
Step-by-step explanation:
Change:
99 - 70 = 29
% change:
29/70 × 100
= 41.42857143%
PLEASE HELP ASAP!!!! 50 POINTS!!
Create a factorable polynomial with a GCF of 2y. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answer:
Hope this helps!!
Step-by-step explanation:
2ya and 2yb where a and b have no common factors and a and b are polynomaals
a=(x+2)(x+3)
b=(x+4)(x+5)
no common factors betwen a and b
so
2ya=2y(x+2)(x+3)=2yx²+10xy+12y
2yb=2y(x+4)(x+5)=2yx²+18xy+40y
the 2 polynomials are 2yx²+18xy+40y and 2yx²+10xy+12y
Answer:
The GCF of a polynomial is the greatest factor which is common to all the terms of the polynomial.
Thus, an example of a polynomial with a GCF of 2y is
The above polynomial can also be rewritten as
This form of the polynomial is obtained by factoring out the GCF of the polynomial.