Answer:
Option A and B
Step-by-step explanation:
sides of the triangle have been given as 15, 15.8, 30 units.
angles of the same triangle has been given as 70°, 80°, [180-(70+80)] or 30°.
Here we see all sides and all the angles of the given triangle have different measures ( all the three sides and angles are different )
By the definition of scalene triangle the given triangle will be scalene.
Since all three angles of the triangle are acute angles (less than 90°).
Therefore, Option A and B are correct.
Given the function f(x)=8+2x2, calculate the following values:
f(a)=
f(a+h)=
f(a+h)−f(a/)h=
If you double a number and add 1 you get 11 what is the number
Answer:
Should be 5, hopes this helps
Step-by-step explanation:
That's it.
Final answer:
To find the original number, we use the equation 2x + 1 = 11; solving for x gives us the number 5.
Explanation:
To find the number that when doubled and added to 1 gives 11, we can set up a simple algebraic equation to solve for the unknown number. Let's call the unknown number x. According to the problem, if we double the number (2x) and then add 1, the result is 11. So, our equation is 2x + 1 = 11.
Next, we can solve for x by subtracting 1 from both sides of the equation, giving us 2x = 10. Finally, we divide both sides by 2 to isolate x, resulting in x = 5. Thus, the number we're looking for is 5.
How do you justify AM = 6 ?
Answer:
Definition of midpoint
Step-by-step explanation:
AM = ME because of the lines showing they are equal
M is therefore the Midpoint of the segment AE
Since AE = 12
AM is 1/2 of AE
AM = 1/2 (12)
AM = 6
We use the definition of midpoint
How do you solve this?
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-6)^2+(y+5)^2=16\implies [x-\stackrel{h}{6}]^2+[y-(\stackrel{k}{-5})]^2=\stackrel{r}{4^2}~\hfill \begin{cases} \stackrel{center}{(6,-5)}\\ \stackrel{radius}{4} \end{cases}[/tex]
Check the picture below.
The equation of a circle is:
(x - h)² + (y - k)² = radius²
Note:
h = x coordinate for the centre of the circle
k = y coordinate for the centre of the circle
The equation for the circle in the question is:
(x - 6)² + (y - 5)² = 16
So the coordinates for the centre of the circle is:
(6, 5)
------------------------
Since PQ is the diameter of the circle, that means the coordinates for the midpoint of PQ would also be the coordinates for the centre of the circle
That means:
( (x coords of P and Q) / 2 , (y coords of P and Q) / 2 )= (6 , 5)
So x-coords of Q:
[tex]\frac{10 + x}{2} = 6[/tex]
10 + x = 12
x = 2
y-coords of Q
[tex]\frac{-5+ x}{2} = -5[/tex]
-5 + x = - 10
x = 5
So the coordinates for Q are:
(2, -5)
---------------------------------------------
Answer:
Option A) (2, - 5)
Select the correct answer. If f(x)=x^1/2-x and g(x)=2x^3-x^1/2-x, find f(x) − g(x).
Answer:
2( √x - x³ )
Step-by-step explanation:
see attached.
Answer:
(f-g)(x) = 2√x - 2x³
Step-by-step explanation:
Write out the terms of f(x) as they are and then the negatives of all the terms of g. We get:
(f-g)(x) = √x - x - 2x³ + √x + x
Combining like terms, we get:
(f-g)(x) = 2√x - 2x³
If f.) = 2x2 + 1, what is f(x) when x = 3?
Answer:
19
Step-by-step explanation:
f(x) = 2x^2 +1
Let x =3
f(3) = 2 (3)^2 +1
= 2 *9 +1
= 18 +1
= 19
Evaluate log1212
a. 0
b. 1
c. 12
d. -1
Answer:
B
Step-by-step explanation:
I just took the test lol
using the prime factor method, find the lcm of 32 and 44
Answer:
lcm = 352
Step-by-step explanation:
32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex] ← product of prime factors
44 = 2 × 2 × 11 = 2² × 11 ← product of prime factors
lowest common multiple (lcm) = [tex]2^{5}[/tex] × 11 = 352
32 = 2*2*2*2*2 = 2^5
44 = 2*2*11 = 2^2*11
We take common and non-common numbers with the highest exponent and we multiply them.
2^5*11 = 32*11 = 352.
10) Jane has 68 stickers. She sticks 3 stickers on each page of her
album.
a) How many pages does she use in all?
pages
b) How many stickers will the last used page have?
stickers
c) The sticker album has 50 pages.
How many more stickers does Jane need to fill all the pages?
stickers
Answer:
Step-by-step explanation:
a) She uses 23 pages (but the last page has 2)
b) 2
c)Jane needs 82 more stickers because
50pages-23=27
27x3(stickers, befcuaase 3 stickers per page)=81
81+1=82 because on 23 page theres only 2 sticker
Hope this helps
Choose a pair of corresponding angles.
22 and 25
_1 and 26
7/8
48 and 410
10 and
4
_9 and 43
Answer:
∠10 and ∠4
Step-by-step explanation:
we know that
When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles
In this problem
∠10 and ∠4 are corresponding angles
What is the probably of getting heads when poing a coin and getting a number greater than or equal to 5 when rolling a single die
A) 1/6
B) 1/3
C) 1/4
D) 1/12
Answer:
1/6
Step-by-step explanation:
1/2 (the coin chance) * 2/6 (the dice chance) = 2/12 = 1/6
Answer:
A. 1/6
Step-by-step explanation:
Probability of getting heads: 1/2
Probability of rolling a number >or equal to 5: 2/6
(1/2)(1/3)=1/6
A number cube with the numbers 1 to 6 is rolled. What is the theoretical probability of rolling the number 3?
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:There are 6 possible options: [tex]\text{1, 2, 3, 4, 5, 6}[/tex]
There is 1 option out of those 6 that we are finding: [tex]\text{3}[/tex]
Therefore, the probability is [tex]\frac{1}{6}[/tex].
Answer:
1/6
Step-by-step explanation:
When we roll a die, we can get the numbers 1,2,3,4,5,6
Each is equally likely
P(3) = How many times 3 occurs/ total
3 occurs 1 time in on the die and there are 6 possible numbers
P(3) = 1/6
Kylie explained that will result in a difference of squares because . Which statement best describes Kylie’s explanation?
Answer: that not a real question it cant be answered has to be missing something
Step-by-step explanation:)
Answer:
Hi my name is Kylie "How You Doing" phrase from Friends, Joey
Use the graph below to determine the number of solutions the system has.
x=4
y=-x-1
Answer:
The system x = 4 and y = -x - 1 has one solution
Step-by-step explanation:
x = 4 and y = -x - 1 intersects only once on the graph
Answer:
The line x = 4 and y = - x - 1 has only one solution.
Step-by-step explanation:
Consider the provided graph.
The system of equation has the solution at the point where the line intersects.
Now consider the graph of the equation x = 4 and y = - x - 1
The graph of x = 4 is a vertical line.
From the graph it is clear that the line x = 4 and y = - x - 1 intersect at a point.
Now to calculate the number of solutions simply count the number of intersecting points.
By observing the graph it can be concluded that the graph of x = 4 and y = - x - 1 intersect only at one point i.e (4,-5).
Hence, the line x = 4 and y = - x - 1 has only one solution.
If f(x) = 3x^2 and g(x) = 4x^3 + 1, what is the degree of (fg)(x)?
i think this question already been solved:
https://brainly.com/question/4342896
Answer:
degree 5
Step-by-step explanation:
(fg)(x) = f(x) × g(x)
f(x) × g(x) = 3x²(4x³ + 1) = 12[tex]x^{5}[/tex] + 3x²
The degree of the polynomial is determined by the value of the largest exponent, that is
12[tex]x^{5}[/tex] ← largest exponent of 5
Hence (fg)(x) is of degree 5
Distance traveled 342 miles with an average speed of 40 mph. What is the travel time of the trip?
Answer:
The travel time of the trip is 8.55 hours
Step-by-step explanation:
The average speed of an object is calculated using the following formula:
[tex]s=\frac{d_2 -d_1}{t}[/tex]
Where [tex]d_2 - d_1[/tex] is the total distance traveled by the object and t is the time it took the object to travel that distance.
So we know that:
[tex]d_2 - d_1=342\ miles[/tex]
[tex]s=40\ mph[/tex]
Therefore:
[tex]40=\frac{342}{t}[/tex]
[tex]t=\frac{342}{40}[/tex]
[tex]t=8.55\ hours[/tex]
Answer: 8 hours and 33 minutes
Step-by-step explanation:
you can set up a ratio, cross multiply, and divide.
Can somebody help me solve this?
"The measures of two complementary angles are 6y + 3 and 4y - 13. Find the measures of the angles."
Answer:
The measures of two complementary angles are 63° , 27°
Step-by-step explanation:
The measures of two complementary angles are 6y + 3 and 4y - 13.
Sum of complementary angles = 90°
6y + 3 + 4y - 13 = 90°
10y - 10 = 90°
10y = 90 + 10 = 100
10 y = 100
y = 100/10 = 10
One angle = 6y + 3 = 6 * 10 + 3 = 60 + 3 = 63
other angle = 4y - 13 = 4 * 10 - 13 = 40 - 13 = 27
The angles are 63° , 27°
A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
Answer:
20°
Step-by-step explanation:
One way of doing this is to find the constant of proportionality, k:
8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.
Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°
let's recall that the sum of all interior angles in a triangle is 180°.
we know the angles are in a 8:6:4 ratio, so we simply divide 180 by (8+6+4) and then distribute accordingly.
[tex]\bf 8:6:4\qquad \qquad \left( 8\cdot \cfrac{180}{8+6+4} \right) : \left( 6\cdot \cfrac{180}{8+6+4} \right) : \left( 4\cdot \cfrac{180}{8+6+4} \right) \\\\\\ (8\cdot 10):(6\cdot 10):(4\cdot 10)\implies 80~:~60~:~\stackrel{\textit{smallest}}{40}[/tex]
On a given school day, the probability that Nick oversleeps is 48% and the probability he has a pop quiz
is 25%. Assuming these two events are independent, what is the probability that Nick oversleeps and has
pop quiz on the same day?
Final answer:
The probability that Nick oversleeps and has a pop quiz on the same school day, given the probability of oversleeping at 48% and pop quiz at 25%, is 12%.
Explanation:
To find the probability that Nick oversleeps and has a pop quiz on the same day, we need to multiply the probabilities of the two independent events occurring.
The probability of Nick oversleeping is 48% or 0.48, and the probability of him having a pop quiz is 25% or 0.25. Since the events are independent, the combined probability is:
Probability(Nick oversleeps and has a pop quiz) = Probability(Nick oversleeps) × Probability(has a pop quiz) = 0.48 × 0.25
When you calculate this, you get:
0.48 × 0.25 = 0.12
Therefore, the probability that Nick oversleeps and has a pop quiz on the same school day is 12%.
The probability that Nick oversleeps and has a pop quiz on the same day is 12%.
To find the probability that Nick both oversleeps and has a pop quiz on the same day, we use the concept of independent events in probability. When two events are independent, the probability of both events occurring is the product of their individual probabilities.
Let's denote:
P(O) = Probability that Nick oversleeps = 0.48
P(Q) = Probability that there is a pop quiz = 0.25
The formula for finding the probability of both independent events occurring is:
P(O and Q) = P(O) * P(Q)
Therefore:
P(O and Q) = 0.48 * 0.25 = 0.12
So, the probability that Nick oversleeps and has a pop quiz on the same day is 12%.
Is 8 a solution to the equation below? Yes or No?
3(x - 2) + 4 = 22
To see if 8 is the solution to the equation, 3 (x - 2) + 4 = 22, you must replace x with 8 and solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS . If the sides are equal to each other then 8 IS a solution.
3(8 - 2) + 4 = 22
Parentheses...
3(8 - 2) + 4 = 22
8 - 2 <<<In the parentheses so you must solve first
6
so...
3(6) + 4 = 22
Multiplication...
3(6) + 4 = 22
3 * 6
18
so..
18 + 4 = 22
Addition...
18 + 4 = 22
18 + 4
22
so...
22 = 22
Are they equal to each other? YES!!!
8 is a solution to the equation 3 (x - 2) + 4 = 22
Hope this helped!
~Just a girl in love with Shawn Mendes
Identify the property used in each step of solving the inequality 3x – 2 > –4.
Answer:
Don't see the steps... but I will solve it and put the property next to each step I perform... And we will just hope my steps are exactly the same as theirs and my wording of the property is exactly the same as theirs.
3x-2>-4 Given
3x-2+2>-4+2 Addition property of Equality
3x+0>-2 Simplification and Inverse Property of Addition for -2+2
3x >-2 Simplification and Identity Property of Addition for 3x+0
3x/3 >-2/3 Division property of Equality
1x >-2/3 Inverse property of Multiplication for the 3*1/3 part
x >-2/3 Identity property of Multiplication for the 1x part
If 3 x − 6 < 12 , then x could be
Answer:
3x - 6 < 12
3x < 18
x < 6
X could be numbers that's less than 6
[tex]3 x - 6 < 12 \\3x<18\\x<6[/tex]
How can u tell if a ratio is proportional
Answer:
Ratios are usually proportional if they are the same or have the same relationship.
Step-by-step explanation:
Like: you have 2 fractions that reduce and come out the same they are proportional.
Hope my answer has helped you!
Answer: pretty much is you reduce 2 fractions and they are the same it should be proportional.
Step-by-step explanation:
My fraction is 3/60 and my decimal is .05 so what's the percent?
Answer:
5%
Step-by-step explanation:
3/60 = 1/20 = 0.05. This is 0.05(100%), or 5%.
If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take
10 men to dig a hole 7 metres deep?
Answer:
I think the picture here explains you everything
hope this helped
Answer:
8 days
Step-by-step explanation:
What is the solution to the following equation?
x2 + 3x + 4 = 0
Answer:
No real solutions
Step-by-step explanation:
Using the quadratic formula, you will end up with a square root of a negative number in the numerator. Hence there is no real solution.
see attached.
The solution to the equation x^2 + 3x + 4 = 0 can't be computed using real numbers, because the formula we use (the quadratic formula) results in the square root of a negative number. Therefore, the solutions will be in the form of complex numbers.
Explanation:The subject question falls under Mathematics, specifically algebra. The equation given is a standard form of a quadratic equation. The general form of a quadratic equation is ax2 + bx + c = 0.
To find the solution for the equation x2 + 3x + 4 = 0, we usually use the quadratic formula x = [-b ± sqrt(b2 - 4ac)] / 2a. Applying this formula, we can put a = 1, b = 3 and c = 4. However, when we compute b2 - 4ac, which is 9 - 16, we receive a negative result (-7). This implies that the equation has no real solutions, because square roots of negative numbers are not real numbers, they are complex numbers.
Learn more about Quadratic Equations here:https://brainly.com/question/34196754
#SPJ11
Which of the following polygons is not a regular polygon?
Answer: the rectangular
Step-by-step explanation:
All the sides are equal for a regular polygon
Answer:
The Rectangle Is Not A Regular Polygon, Option 2
Step-by-step explanation:
For a polygon to be regular all sides and angles have to be the same! A square is an example of a regular polygon, since all sides and angles are even, a rectangle is not.
pls help asap i’m timed!!!
This is ed right? If so the answer would be c
ANSWER
[tex]g(x) = - \sqrt{x + 3} + 8[/tex]
EXPLANATION
The given function is
[tex]f(x) = - 2 \sqrt{x - 3} + 8[/tex]
The vertex of this function is (3,8)
This function opens downwards so its range is
[tex]y \leqslant 8[/tex]
The function
[tex]g(x) = - \sqrt{x + 3} + 8[/tex]
also has vertex (-3,8)
This function is also reflected in the x-axis. Its range is;
[tex]y \leqslant 8[/tex]
The correct answer is C
Which comparison is correct?
-5 > -4
-8 > -9
5 < 4
-8 > 5
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
Answer:
1. Simplify the inequality 5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4):
15.3+11.22x>-14.25-10.2x-24 10;15.3+11.22x>-10.2x-38.75.
2. Separate terms with x and without x in different sides:
11.22x+10.2x>-38.75-15.3.
3. Add similar terms:
21.42x>-54.05.
4. Divide by 21.42:
x>-54.05/21.42
x>-2.5
Step-by-step explanation: