Answer: x = 8
because The upper triangle is an isosceles triangle (the two sides are equal)
=> 5x + 5 = 45°
<=> x = (45 - 5) : 5
<=> x = 40:5 = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
5x + 5 + 5x + 5 + 90 = 180, that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Write a situation that could be represented by the algebraic expression 3a + 2.15.
Answer:
5.15
Step-by-step explanation:
5.15 = 3a + 2.15
5.15 - 2.15 = 3a
3.15 = 3a
a = 0.05
I hope this helps you :)
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below. 1. p(x) = 5x2 + 30x 2. p(x) = 5(x2 + 6x) 3. (six-halves) squared = 9; 4. p(x) = 5(x2 + 6x + 9) – 5(9) 5. p(x) = 5(x + 3)2 – 45 Describe Sandra’s function. What is the vertex of this function? Is it a maximum or a minimum? What is the axis of symmetry of this function?
Answer: 1st question• (-3, -45)
2nd question• x= -3
Step-by-step explanation:
just did it on edge
The vertex of the function p(x) = 30x^2 + 5x^2 is (-3,-45), and it is a minimum
The description of the functionThe function is given as:
p(x) = 30x^2 + 5x^2
The description of the function is that the function is a quadratic function
The vertex
From the question, we have:
p(x) = 5(x + 3)^2 – 45
A quadratic function represented as: p(x) = a(x - h)^2 + h has the vertex (h,k)
This means that the vertex is (-3,-45), and it is a minimum because a is positive i.e. a = 5
The axis of symmetryThis is the x-coordinate of the vertex.
Hence, the axis of symmetry is x = -3
Read more about quadratic functions at:
https://brainly.com/question/18797214
HURRY PLEASE!!!!!!!
What is the argument of z = 1/16 - square root of 3/16 i?
Answer:
A
Step-by-step explanation:
Edg2020
The value of the argument of z is -π/3.
What is the argument of z?The angle that the line from Ф, z to the origin creates with the positive direction of the real axis is known as the argument of z is Ф, and it is variously represented by the symbols arg ( z ), (z) or Ф. Because it is an argument of z is Ф, then 2 nπ + Ф is likewise a valid argument, the argument of z can take on any number of conceivable values.
We define a singular value known as the major argument of z to be more precise.
Given z = 1/16 - √3/16i
equation of z is x + iy
here x = 1/16 and y = -√3/16
to find the angle,
tanФ = y/x
tanФ = (-√3/16)/(1/16)
tanФ = -√3
Ф = tan⁻¹(-√3)
Ф = -π/3
Hence arguement of z is -π/3.
Learn more about arguement of z;
https://brainly.com/question/24342652
#SPJ5
whose method can be used to verify the distributive property was correctly applied expression
A. zoes method
B.latoyas method
C. christinas method
D. Rhodas method
Solve for x. 3(5 + 4x) = 75
Answer:
3(5+4x) = 75
Step-by-step explanation:
Step 1: Distribute. --> 3(5+4x) = 75
15 + 12x =75
Step 2: Find X. ---> 15 + 12x = 75
-15 -15
12x = 60
Step 3: Divide. 12 12
Answer: x = 5
Answer:
X=5
Step-by-step explanation:
Find the rate of change of the linear function
shown in the graph, Then find the initial value.
The rate of change is
Answer:
6
Step-by-step explanation:
dfsfads
Write the equation of the line that has a slope of 3 and passes through (5, 11)
y = 3x - 26
y = 3x - 38
y = 3x - 4
x = 3y - 4
Answer:
3x-4
Step-by-step explanation:
y=ax+b general type of the line
a is the slope
y=3x+b
put 5 instead of the x and put 11 instead of the y
11=15+b
b=(-4)
Equation is 3x-4
Tyler is conducting a science experiment. He is observing the effects of
low temperatures on bacteria. He cools one sample to -55˚C and
another to -80˚C. What is the difference between the two
temperatures?
Answer:
Your answer is -25
Step-by-step explanation:
First, you figure out what to do for the equation.
In this case we you would subtract because it says "what is the difference" which means to subtract.
So -55 subtracted by -80 = -25
Question 2 (1 point)
A video game has three villains who appear on screen at different intervals. One villain appears every 2 seconds, a second villain appears every
19 seconds, and a third villain appears every 10 seconds. How much time passes between the occasions when all three villains appear at the
same time?
Answer:
3 minutes tens seconds or 190 seconds
Step-by-step explanation:
Find the LCM.
Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills together. If he has 22 bills in all, how many of each type of bill does he have?
Step-by-step explanation:
(1$) 7+ ($5) 4 + ($10) 11=22 bills
7+20+110=137$
Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
2x2 + 6x = 20
A. -5
B. 20
C. -2
D. 1
E. 2
F -10
Answer:
-5 and 2
Step-by-step explanation:
Peter cuts lawns and makes $40 per lawn. He spends $10/day in work expenses. Write an equation in the form y = mx + b to represent this situation.
Answer: y= 40x-10 , where = number of lawns.
Step-by-step explanation:
In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.
[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]
Given: Peter cuts lawns and makes $40 per lawn.
let x = number of lawns
i.e. slope = $40
He spends $10/day in work expenses.
i.e. y-intercept = -10 [for each day]
So equation becomes : y= 40x-10 , where = number of lawns.
A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft. What is the perimeter of the larger rectangle?
Answer:
48 I think
Step-by-step explanation:
12+12+12+12=48
or 12 x 4=48
Answer:
48
Step-by-step explanation:
12+12+12+12 = 48
or
12x4=48
Please help me---------------------------
Answer:
Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.
The solution is: (1.2, -1.6)
Step-by-step explanation:
You can also test this by plugging the values of the point into both equations.
does anyone know ? thx
4)
Ben, Joe and Alex bought flowers for their girlfriends at the same store.
Ben bought 5 roses, 8 daisies, and 2 carnations for $14.50. Alex bought
3 roses, 12 daisies, and 1 carnation for $14.00. Joe bought 10 roses, 1 daisy
and 3 carnations for $17.25. How much was one rose and one carnation?
rose:
carnation:
Answer:
1 rose cost $1.5
1 carnation cost $0.5
Step-by-step explanation:
Let the price for one rose be r, price for one daisies be d and the price for one carnation be c
For Ben;
5r + 8d + 2c = 14.5
For Alex
3r + 12d + c = 14
For Joe
10r + d + 3c = 17.25
From equation iii;
d = 17.25- 10r - 3c
Insert this into the first two equations;
5r + 8(17.25-10r-3c) + 2c = 14.5
5r + 138 - 80r -24c + 2c = 14.5
-75r -22c = -123.5
Thus;
75r + 22c = 123.5
Insert the formula for d in the second equation;
3r + 12(17.25-10r-3c) + c = 14
3r + 207 - 120r -36c + c = 14
-117r-35c = 14-207
117r + 35c = 193
So we have two equations to solve simultaneously;
75r + 22c = 123.5
117r + 35c = 193
Multiply first equation by 35 and second by 22
2625r + 770c = 4322.5
2574r + 780c = 4246
Subtract second from first
51r = 76.5
r = 76.5/51
r = 1.5
Insert this in the equation below;
75r + 22c = 123.5
75(1.5) + 22c = 123.5
112.5 + 22c = 123.5
22c = 123.5-112.5
22c = 11
c = 11/22
c = 0.5
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?
9514 1404 393
Answer:
379 adult tickets896 student ticketsStep-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...
5a +1(1275 -a) = 2791
4a = 1516 . . . subtract 1275 and simplify
a = 379 . . . . . divide by 4
1275-a = 896
379 adult and 896 student tickets were sold.
Which statement is true about perpendicular lines?
Help please!!
Answer:
The answer is that they intersect at the right angles 90°
Answer:
they intersect at right angles (90 degrees)
Step-by-step explanation:
What is the y-intercept. Describe how you know in both the table and the graph.
Answer:
(4,0)
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!! Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
A. You replaced y with 3 temporarily.
B. This is wrong because you can only substitute for x.
C. The equation becomes 3 = x – 2
D. The value of x is 5.
E. The equation y = x – 2 is still true, just with specific values.
Answer:
y=x-2
a. 3=x-2
b. this isn't wrong??
c. 3=x-2
d. add 2 to both side so taht x is on its own so 5=x
e. yes
Answer:
C and E
Step-by-step explanation:
Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.
B is not right because you can replace either y or x
D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.
Hope this helped :)
17 points
Jeremy drove 18.04 miles on Monday, 18.4 miles on Tuesday, 17.68 miles
on Wednesday, and 17.86 miles on Thursday. Which shows the distances
written in order from greatest to least? *
17.68, 17,86, 18.04, 18.4
18.04, 18.4, 17.86, 17.68
17.86, 17.68, 18.4, 18.04
O 18.4, 18.04, 17.86, 17.68
Answer:
D. 18.4, 18.04, 17.86, 17.68
Step-by-step explanation:
Very Easy!
A baseball camp is held at a complex that has 6 baseball diamonds. The coaches would like each diamond to have the same number of campers. Use divisibility rules to determine whether this is possible if 152 kids show up for the camp.
Answer:
Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds
Step-by-step explanation:
Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids
Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond
Mathematically 152/6 = 25.3333
Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp
Mrs. Wally cut a 21 foot long ribbon into four equal lengths. How many feet long was each length of ribbon
the answer is:
Each equal length of ribbon is 5.25 ft
Step-by-step explanation:
21 divided by 4 is 5.25
To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.
What is division ?Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.
Given length of ribbon = 21 foot
Number of parts it has to be divided = 4.
So, to get the length of each part divide the total length by 4.
Thus, the length of each part is 21/4 = 5.25 foot.
Hence, the length Mrs. Wally' s each ribbon is 5.25 foot.
To know more about division click on,
https://brainly.com/question/21416852
#SPJ2
BB is paid straight commission at a rate of 9.35%. last week he sold $6000. How much money did he make?
A. 6900.00
B. 56100
C. 4551.00
D. 451.00
Answer
how much is like saying time the this
Step-by-step explanation:
60,000 time 9.35%= 56100
On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 3 = -4
-7-4 = -3
-7-3 = -10
-7+ 4 = -3
Answer:
-7+-3=-4
Step-by-step explanation:
Which of the following is a rearrangement of A
(61 +62) · h
that highlights the variable h?
Answer:
123 x h because you can't put them together but we can add the stuff that is already there so we get 123 and times h thats our answer
I need to know 2/7 divided by 6 =
Answer: 1/21
[tex]\frac{2}{7}:6=\frac{2}{7}.\frac{1}{6}=\frac{2}{42}=\frac{1}{21}[/tex]
Step-by-step explanation:
A well is to be dug at the location in the diagram. Use the diagram for the parts.
The equation that represents the road is y= ______
Answer:
[tex] y = \frac{1}{6}x - 5 [/tex]
Step-by-step explanation:
The equation that represents the road can be written as [tex] y = mx + b [/tex]
Find, m = slope, and b = y-intercept of the line.
Using two points on the line, (-6, -6) and (6, -4), find the slope:
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-6)}{6 -(-6)} = \frac{2}{12} = \frac{1}{6} [/tex]
Substitute x = -6, y = -6, and m = ⅙ into [tex] y = mx + b [/tex] to find b.
[tex] -6 = \frac{1}{6}(-6) + b [/tex]
[tex] -6 = -1 + b [/tex]
Add 1 to both sides
[tex] -6 + 1 = b [/tex]
[tex] -5 = b [/tex]
Substitute m = ⅙, and b = -5 into [tex] y = mx + b [/tex].
✅The equation that represents the road would be:
[tex] y = \frac{1}{6}x + (-5) [/tex]
[tex] y = \frac{1}{6}x - 5 [/tex]
Select the correct locations on the graph. Select the lines that represent functions.
Answer:
bruh there isnt a graph or anything we cant answer it
Step-by-step explanation:
Answer:
where is it
Step-by-step explanation:
What will be the slope of (3,-4) and (1,2)
Answer:
[tex]\boxed {m = 1}[/tex]
Step-by-step explanation:
Use the Slope Formula to determine the slope of two given points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
First Point: [tex](x_{1}, y_{1})[/tex]
Second Point: [tex](x_{2}, y_{2})[/tex]
-Substitute both points:
First Point: [tex](3, -4)[/tex]
Second Point: [tex](1, 2)[/tex]
[tex]m = \frac{2 + 4}{1 - 3}[/tex]
-Solve for the slope:
[tex]m = \frac{2 + 4}{1 - 3}[/tex]
[tex]m = \frac{-2}{-2}[/tex]
[tex]\boxed {m = 1}[/tex]
Therefore, the slope is [tex]1[/tex].