Answer:
2) 30, 70, 80
Step-by-step explanation:
Well there has to be 3 angles that all add up to 180°.
1)
100+130+130
=360
2)
30+70+80
= 180
3)
25+3+35
=63
4)
45 + 105 + 120
=150
150+120
270
circle the equations that represent quadratic functions a. y=3x+1 b. y=x^2+3 c. y=x^3-3 d. x^2+3y=8
Answer:
[tex]B. y=x^2+3 \\\\D.$ $x^2+3y=8[/tex]
Step-by-step explanation:
A quadratic function is a function in which the highest power of the unknown variable is 2.
Formally, a quadratic function is defined as a function of the form:
[tex]f(x)=ax^2+bx+c, a\neq 0[/tex]
From the given options, only B and D has the highest power as 2. Therefore, the equations that represent quadratic functions are:
[tex]B. y=x^2+3 \\\\D.$ $x^2+3y=8[/tex]
how do you know if the solutions to a quadratic equations are inside, outside, on, inside and on, or outside and on the parabola? with the different equality signs?
Answer:
Option (1)
Step-by-step explanation:
Given quadratic equation in this question is,
y < -x²+ 4x + 5
Now we will convert this standard quadratic equation into vertex form,
y < -(x² - 4x) + 5
y < -[x² - 2(2)x + 2²] + 5
y < -(x - 2)²+ 5
This equation is in the form of y < a(x - h)² + k
where (h, k) is the vertex of the parabola.
Therefore, y < -(x - 2)²+ 5 will show the parabola with properties as,
1). Parabola having vertex at (2, 5).
2). Coefficient 'a' is negative, so parabola will open downwards.
3). In the inequality notation of less than, (sign < ) will show the solution area inside the parabola.
[If an inequality has a sign of greater than, solution area will be outside the parabola.]
Therefore, Option (1) will be the answer.
PLEASE HELP ME I DONT UNDERSTAND AND NOW IM WRITING STUFF TO GET AT LEAST 20 WORDS SO I CAN ASK THE QUESTION
Answer:
The answer is 75 degrees
Step-by-step explanation:
Supplementary angles add to 180 and 105 + Y= 180.
So, you subtract 105 from 180 and Y is 75
You measure the sides of a pool and find that it is 20 yards wide and 50 yards long. Approximately, how far would it be diagonally between corners of the pool?
A. 54 yards
B. 58 yards
C. 62 yards
D. 66 yards
Answer:
[tex]\boxed{d = 54 yards}[/tex]
Step-by-step explanation:
Formula for diagonal is as follows:
[tex]d = \sqrt{l^2+w^2}[/tex]
Where d is diagonal, l is length (50 yards) and w is width (20 yards)
[tex]d = \sqrt{(50)^2+(20)^2}[/tex]
[tex]d = \sqrt{2500+400}[/tex]
[tex]d = \sqrt{2900}[/tex]
d = 53.85 yards
d ≈ 54 yards
Answer:
[tex]\boxed{\mathrm{54 \: yards}}[/tex]
Step-by-step explanation:
The shape of the pool is a rectangle.
The diagonal of a rectangle can be found through a formula by using Pythagorean theorem.
[tex]d^2=l^2 +w^2[/tex]
[tex]d=diagonal\\l=length\\w=width[/tex]
The length is given 50 yards, and width is given 20 yards. Find the diagonal.
[tex]d^2 =50^2 +20^2[/tex]
[tex]d^2 =2500+400[/tex]
[tex]d^2 =2900[/tex]
[tex]d=\sqrt{2900}[/tex]
[tex]d \approx 53.851648[/tex]
[tex]d \approx 54[/tex]
(1/16)^(x+3) = (1/4)^(x+1)
Answer:
x=-5
Step-by-step explanation:
The answer is x = -5. The explanation and answer is in the image below.
PLS HELP! A rectangle has a height of 2 and a width of 5x^2-2x+3. Express the area of the entire rectangle. Expression should be expanded.
Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
2. Hessa was playing a computer game. She scored 43 points in Round 1 and 26 points in Round 2. Which sum could she use to add the points together? a. 40 + 20 + 3 + 6 b. 4 + 3 + 2 + 6 c. 40 + 30 + 20 + 60 d. 30 + 4 + 60 + 2
Answer:
a. 40 + 20 + 3 + 6Step-by-step explanation:
Points scored by Hessa is as shown below;
Round 1 = 43 points
Round 2 = 26 points
Total points for both rounds = 43 + 26 = 69 points
To determine the sum she could use to add the points together, we must select the sum that will give us the same total of points for both rounds i.e 69 points.
The Round 1 score (43 pt)can also be expressed as (40+3) points
The Round 2 score (26 pt)can also be expressed as (20+6) points
The sum she could use to add the points together will be (40+3)+(20+6)
which is also equal to 40 + 20 + 3 + 6 = 69points
Hence, option a is correct
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
4x-2
Step-by-step explanation:
4x(3x+5)-2(3x+5)
(4x-2)(3x+5)
you can see that 4x-2 is a factor
Please answer this in two minutes
Answer:
k = 4Step-by-step explanation:
It is half of equilateral triangle where 2√3 is its hight so:
[tex]2\sqrt3=\frac{k\sqrt3}2\\\\4\sqrt3=k\sqrt3\\\\k=4[/tex]
Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment lengths that equal the following functions (in the correct order):
sin(theta),
cos(theta),
tan(theta),
csc(theta),
sec(theta),
cot(theta).
So, for example, you would answer a,k,h,c,b,d if you thought
sin(theta) = a,
cos(theta) = k,
tan(theta) = h,
csc(theta) = c,
sec(theta) = b,
cot(theta) = d.
I was able to come up with:
sin(theta) = d,
cos(theta) = a,
tan(theta) = h,
csc(theta) = f,
sec(theta) = g,
cot(theta) = h.
Answer:
32
Step-by-step explanation:
Simplify. Rewrite the expression in the form 4^n. 4^11/4^-8
Answer:
S6tep-by-step explanation:
4^(11+8) = 4^19 is the solution
A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.
Answer:
The numerical limits for a B-grade is between 81 and 92
Step-by-step explanation:
Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade
Please check attachment for complete solution and explanation
Helpppppppppp pleasessssss
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
ANSWER FAST A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answer:
8 feet
Step-by-step explanation:
[tex]h = \sqrt{10^{2} - 6^{2} } = \sqrt{100 - 36} = \sqrt{64} = 8[/tex]
Latesha’s mother puts $85 in Latesha’s lunch account at school. Each day Latesha uses $3 from her account for lunch. The table below represents this situation. Latesha’s Lunch Account Day Amount Left in Account ($) 0 $85 1 2 3 4 5 How much is left in Latesha’s lunch account after she has had lunch for 5 days? $15 $67 $70 $82
Answer: it 70
Step-by-step explanation:
Latesha’s mother puts $85 in Latesha’s lunch account at school. Each day Latesha uses $3 from her account for lunch. The table below represents this situation.
How much is left in Latesha’s lunch account after she has had lunch for 5 days?
$15
$67
$70 is correct$82
you tube guests are for hire
Help me please I need answers
Answer:
The solution of the system of equations are;
(-2, -6) and (4, 6)
Step-by-step explanation:
-2·x + y = -2...............(1)
[tex]y = -\dfrac{1}{2} \cdot x^2 + 3 \cdot x + 2[/tex]........(2)
Equation (1) gives;
y = 2·x - 2
From which we have;
[tex]2 \cdot x - 2 = -\dfrac{1}{2} \cdot x^2 + 3 \cdot x + 2[/tex]
[tex]0= -\dfrac{1}{2} \cdot x^2 + x + 4[/tex]
x² -2·x -8 = 0
(x - 4)·(x + 2) = 0
x = 4 or x = -2
The y-coordinate values are;
y = 2×(-2) - 2 = -6 and y = 2×(4) - 2 = 6
The solution points are;
(-2, -6) and (4, 6).
The points where the equation, -2·x + y = -2 and the equation [tex]y = -\dfrac{1}{2} \cdot x^2 + 3 \cdot x + 2[/tex] intersect are (-2, -6) and (4, 6).
The length of 7 (the minor arc) is 15 cm. What is the circumference of Z?
Answer:450 cm
Step-by-step explanation:
Jane, Paul and Peter can finish painting the fence in 2 hours. If Jane does the job alone she can finish it in 5 hours. If Paul does the job alone he can finish it in 6 hours. How long will it take for Peter to finish the job alone?
==================================================
Explanation:
Jane does the job alone and she can finish it in 5 hours. Her rate is 1/5 of a job per hour. By "job", I mean painting the entire fence. Notice that multiplying 1/5 by the number of hours she works will yield the value 1 to indicate one full job is done.
Through similar reasoning, Paul's rate is 1/6 of a job per hour.
Let x be the time, in hours, it takes Peter to get the job done if he worked alone. His rate is 1/x of a job per hour.
Combining the three individual rates gives
1/5 + 1/6 + 1/x = (6x)/(30x) + (5x)/(30x) + (30)/(30x)
1/5 + 1/6 + 1/x = (6x+5x+30)/(30x)
1/5 + 1/6 + 1/x = (11x+30)/(30x)
The expression (11x+30)/(30x) is the total rate if the three people worked together. This is assuming neither worker slows another person down.
Set this equal to 1/2 as this is the combined rate (based on the fact everyone teaming up gets the job done in 2 hours). Then solve for x
(11x+30)/(30x) = 1/2
2(11x+30) = 30x*1 .... cross multiply
22x+60 = 30x
60 = 30x-22x
60 = 8x
8x = 60
x = 60/8
x = 7.5
It takes Peter 7.5 hours, or 7 hours 30 minutes, to get the job done if he worked alone.
--------------
Here's another equation to solve though its fairly the same idea as above
1/5 + 1/6 + 1/x = 1/2
30x*(1/5 + 1/6 + 1/x) = 30x*(1/2) ... multiply both sides by LCD
30x(1/5) + 30x(1/6) + 30x(1/x) = 30x(1/2)
6x + 5x + 30 = 15x
11x + 30 = 15x
30 = 15x-11x
30 = 4x
4x = 30
x = 30/4
x = 7.5
We get the same answer
Answer: 7 . 5 hrs
Step-by-step explanation:
It takes Jane 5 hours to finish the fence so she can get [tex]\dfrac{1}{5}[/tex] of the job done in 1 hour.
It takes Paul 6 hours to finish the fence so he can get [tex]\dfrac{1}{6}[/tex] of the job done in 1 hour.
It takes Peter x hours to finish the fence so he can get [tex]\dfrac{1}{x}[/tex] of the job done in 1 hour.
Together, it takes them 2 hours to finish the fence so they can get [tex]\dfrac{1}{2}[/tex] of the job done in 1 hour.
Jane + Paul + Peter = Together
[tex]\dfrac{1}{5}\quad +\quad \dfrac{1}{6}\quad +\quad \dfrac{1}{x}\quad =\quad \dfrac{1}{2}[/tex]
Multiply everything by 30x to eliminate the denominator:
[tex]\dfrac{1}{5}(30x) + \dfrac{1}{6}(30x) +\dfrac{1}{x}(30x) =\dfrac{1}{2}(30x)[/tex]
Simplify and solve for x:
6x + 5x + 30 = 15x
11x + 30 = 15x
30 = 4x
[tex]\dfrac{30}{4}=x[/tex]
7.5 = x
Am I the only person that is having problems with seeing answers?
Answer:
Been having issues all night
Answer:
Step-by-step explanation: no
How much will Bob need to save each month if he wants to buy a $30,000 car with cash in 5 years? He can earn a nominal interest rate of 10% compounded monthly.
a) $2.50
b) $250.00
c) $25.00
d) $1,862.76
Answer:
B
Step-by-step explanation:
C is too little and D is too much
Find the width of a rectangle if the diagonal is 19 and the length is 16
Answer:
≈10.25
Step-by-step explanation:
use the Pythagorean Theorem: a² + b² = c²
c is the hypotenuse, the diagonal, or the longest side of the triangle
a = 16
b = ?
c = 19
(16)² + b² = (19)²
256 + b² = 361
b² = 105
b = √105 ≈ 10.25
Pls answer the image given
Answer:
[tex]4 \frac{1}{4} [/tex] hours
Step-by-step explanation:
Given,
Time spent in studies : [tex]1 \frac{3}{4} [/tex] hours
Time spent in playing cricket : [tex]2 \frac{1}{2} [/tex] hours
Now, let's find the time that he spent in all:
[tex]1 \frac{3}{4} + 2 \frac{1}{2} [/tex]
Add the whole number and fractional parts of the mixed numbers separately
[tex](1 + 2)( \frac{3}{4} + \frac{1}{2} )[/tex]
Add the numbers
[tex]3 +( \frac{3}{4} + \frac{1}{2} )[/tex]
Add the fractions
[tex]3 + ( \frac{3 + 1 \times 2}{4} )[/tex]
[tex]3 + ( \frac{3 + 2}{4} )[/tex]
[tex]3 + \frac{5}{4} [/tex]
Convert the improper fraction into mixed number
[tex] 3 + 1\frac{1}{4} [/tex]
Write the mixed number as a sum of the whole number and the fractional part
[tex]3 + 1 + \frac{1}{4} [/tex]
Add the numbers
[tex]4 + \frac{1}{4} [/tex]
Write the sum of whole number and the fraction as a mixed number
[tex]4 \frac{1}{4} [/tex] hours
Hope this helps..
Best regards!!
Answer:
4 1/4 hours.
Step-by-step explanation:
1 3/4 + 2 1/2
= 1 + 2 + 3/4 + 1/2
= 3 + 3/4 + 1/2 The LCM of 2 and 4 is 4 so 1/2 = 2/4. and so we have:
3 + 3/4 + 2/4
= 3 + 5/4
= 3 + 1 1/4
= 4 1/4 hours.
Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan's room?
Answer:
2x⁴+x³-x²+54x+56
Step-by-step explanation:
Given the expression length of dylan room = (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;
Area of rectangle = Length *Width
Area of the rectangle = (x² – 2x + 8)(2x² + 5x – 7)
Area of the rectangle = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)
= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)
expanding the bracket
= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56
Collecting the like terms;
= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56
= 2x⁴+x³-x²+54x+56
Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56
Answer:
2x^4+ x^3 - x^2 + 54x - 56 expression represents the area of Dylan’s room
Step-by-step explanation:
C on edge :)
Which ordered pair is a solution of the equation? y = 7 x − 3 y=7x−3
Answer:
(1,4)
Step-by-step explanation:
Which ordered pair is a solution of the equation? y = 7 x − 3
a. (1,4) b. (-1,-4) c. both d. neither
Solution
y=7x-3
Solve by trying each ordered pair
a. (1,4)
x=1, y=4
Substituting the value of x and y into the equation
y=7x-3
4=7(1)-3
4=7-3
4=4
This is a true statement
b. (-1,-4)
x=-1, y=-4
Substitute the value into the equation
y=7x-3
-4=7(-1)-3
-4= -7-3
-4= -11
This is not a true statement
This true statement is when x=1 and y=4
So, the ordered pair (1, 4) is the solution
PLEASEEEEEEEEEEEEE HELPPPPPPPPPPP!
Find the other endpoint of the line segment with the given endpoint
and midpoint
Endpoint 1: (9,1)
Midpoint: (1,6)
Endpoint 2= (
Step-by-step explanation:
Let the other endpoint be (x,y)
Since, (1,6) is the midpoint between (9,1) and (x,y)
Therefore,
1=(9+x)/2
=> 2=9+x
=> x= -7
and,
6=(1+y)/2
=>12= 1+y
=> y=11
So, the other endpoint is ( -7, 11)
Answer:
( - 7 , 11)Step-by-step explanation:
Let the coordinates of Endpoint 2 be
(x ,y)
The midpoint of the endpoints is given by
[tex](1,6) = ( \frac{9 + x}{2} , \frac{1 + y}{2} )[/tex]
Where x and y are coordinates of Endpoint 2
Comparing with the midpoint we have
[tex]1 = \frac{9 + x}{2} \\ 2 = 9 + x \\ \\ x = 2 - 9 \\ \\ x = - 7[/tex]
[tex]6 = \frac{1 + y}{2} \\ 12 = 1 + y \\ \\ y = 12 - 1 \\ \\ y = 11[/tex]
Therefore x = - 7 and y = 11
The coordinates of Endpoint 2 are
( - 7 , 11)Hope this helps you
y2 + 15y +56 = (y + 7)(y+)
y +7
y - 7
y-8
y - 8
Find the number after y+
y^2 + 15y + 56 factors to (y+7)(y+8)
This is because 7+8 = 15 is the middle term and 7*8 = 56 is the last term. We can use the box method, FOIL rule, or distributive property to confirm we have the right factorization. I'll use the distributive rule
(y+7)(y+8) = y(y+8) + 7(y+8)
(y+7)(y+8) = y^2 + 8y + 7y + 56
(y+7)(y+8) = y^2 + 15y + 56
PLEASE help me with this question with solutions
Answer:
D
Step-by-step explanation:
the inscribed angle intersects an arc that twice the measure of the arc interested by the central angle. The inscribed angle's arc measures 144° and the central angle's arc measures 72°
>central angle and the arc the intersected arc are equal i.e they are both 72°
>the inscribed angle is half of the measure of the intersected arc i.e since the inscribed angle is 72° the arc interested is 144°
15 points are placed on a circle. How many triangles is it possible to form, such that their vertices will be the given points?
Answer: 445 triangles can be form with 15 dots of a circle (I hope good luck)
Step-by-step explanation:
Answer:
455
Step-by-step explanation:
There are 15 points on a circle.
We need three points to form a triangle
Therefore the number of triangles = 15 choose 3 = 15!/(3!x12!) = (15x14x13)/(3x2x1) = 5x7x13 = 455
Hence the number of triangles formed is 455
Factor 1
Which expression is the factored form of
x2 - 7x + 10?
+x
-X
42
-
+
0 (x+3)(x + 4)
o (x - 3)(x - 4)
(x-2)(x - 5)
(x + 2)(x + 5)
ON
-
+
+
-X
Factor
+
+
-
+
+
LY
+
+
-
+
+
Reset
Intro
ODNO
Answer:
(x - 2)(x - 5)Step-by-step explanation:
[tex]x^2 - 7x + 10=\\\\=x^2 - 5x -2x + 10=\\\\=x(x-5)-2(x-5)=\\\\=(x-5)(x-2)[/tex]
Answer:
[tex]\boxed{(x-2)(x-5)}[/tex]
Step-by-step explanation:
=> [tex]x^2-7x+10[/tex]
Using mid-term break formula
=> [tex]x^2-5x-2x+10[/tex]
=> x(x-5)-2(x-5)
Taking (x-5) as common
=> (x-2)(x-5)
