Answer:
The answer is no, because 9 + 3 isn't greater than 15. Remember, to form a triangle the sum of the 2 shortest sides must be greater than the longest side.
Answer:
No, because 9 + 3 isn't greater than 15.
Step-by-step explanation:
The Triangle Inequality Theorem states that the 2 shorter legs of a triangle's sum must add up to be greater than the hypotenuse or the longest side. So 3, 9, and 15 don't make a triangle.
Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure? (–4, –4), (–4, –1), (–1, –4), (–1, –1) (–2, –4), (–1, –1), (1, –1), (2, –4) (1, 1), (2, 4), (5, 4), (4, 1) (1, 4), (2, 1), (5, 1), (4, 4)
Answer:
(1,4) (2,1) (5,1) (4,4)
Step-by-step explanation:
The options are:
(-4,-4) (-4,-1) (-1, -4) (-1,-1)
(-2,-4) (-1, -1) (1,-1) (2, -4)
(1,1) (2,4) (5, 4) ( 4,1)
(1,4) (2,1) (5,1) (4,4)
The only one which has two sides with negative slopes is the last one.
Slope of the side that passes through (1,4) and (2,1): (4 - 1) / (1 - 2) = -3
Slope of the side that passes through (4,4) and (5,1): (4 - 1) / (4 - 5) = -3
Answer: D. (1,4) (2,1) (5,1) (4,4)
Step-by-step explanation: On Edgenuity!!!!!!!!!!!!
A bird species in danger of extinction has a population that is decreasing exponentially (A = A0e^kt). Five years ago, the population was at 1400 and today only 1000 of the birds are alive. Once the population drops below 100, the situation will be irreversible. When will this happen?
Answer:
It'll take approximately 34 years from today.
Step-by-step explanation:
in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:
[tex]A = A_0*e^{k*t}\\1000 = 1400*e^{5*k}\\1400*e^{5*k} = 1000\\e^{5*k} = \frac{1000}{1400}\\ln(e^{5*k}) = ln(\frac{1000}{1400})\\5*k = ln(1000) - ln(1400) \\k = \frac{ln(1000) - ln(1400)}{5} = -0.06729[/tex]
We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:
[tex]100 = 1000*e^{-0.06729*t}\\e^{-0.06729*t} = \frac{100}{1000}\\ln(e^{-0.06729*t} = \frac{1}{10}\\-0.06729*t = ln(0.1)\\t = -\frac{ln(0.1)}{0.06729} = 34.22[/tex]
It'll take approximately 34 years from today.
Find the vertex of the given function. f(x) = |x + 1| - 7 The vertex is at (, )
Answer: The vertex of the function is (-1, -7).
Step-by-step explanation: We are given to find the vertex of the following function.
We know that the vertex of the function is given by (h, k).
So, for the given function f(x), the vertex will be (-1, -7).
The graph of the function f(x) is shown in the attached figure, where the vertex is at the point (-1, -7).
Thus, the vertex of the function is (-1, -7).
The vertex of the function f(x) = |x + 1| - 7 is (-1,-7)
How to determine the vertex?The function is given as:
f(x) = |x + 1| - 7
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a|x – h| + k
Where, the vertex is (h,k)
So, we have:
(h,k) = (-1,-7)
Hence, the vertex of the function f(x) = |x + 1| - 7 is (-1,-7)
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Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digits. Plz help
Answer:
The values of Y, E, A, R are "2, 9, 1, 0".
Step-by-step explanation:
The given equation is:
⇒ [tex]YYYY-EEE+AA-R=1234[/tex]
Let the values,
[tex]Y=2[/tex]
[tex]E=9[/tex]
[tex]A=1[/tex]
[tex]R=0[/tex]
On substituting the estimated values in the L.H.S of the given equation, we get
⇒ [tex]2222-999+11-0[/tex]
⇒ [tex]1223+11[/tex]
⇒ [tex]1234 \ i.e., R.H.S[/tex]
So that the possible values of Y,E,A,R will be "2, 9, 1 and 0".
Please Help ASAP C: :D
Answer:
-21/10
Step-by-step explanation:
-2/5 - 4/5 + (-9/10) = -6/5 -9/10 = -12/10 -9/10 = -21/10
Answer:
-21/10
Step-by-step explanation:
Plug in 4/5 for x and simplify.
-2/5 - 4/5 + (-9/10)
-6/5 + (-9/10)
-21/10 or -2 1/10
I hope this helps :))
I would love someone’s help! I’m struggling
Please help me! Ill give brainliest! The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below: Step 1: 2(y + 6) = 4y Step 2: 2y + 8 = 4y Step 3: 2y = 8 Step 4: y = 4 Which of the following explains how to correct Step 2 and shows the correct value of y? (5 points) 2 should be distributed as 2y + 12; y = 6 2 should be distributed as 2y + 12; y = 3 The equation should be y + 6 = 4y after division by 2; y = 2 The equation should be y + 6 = 4y after division by 2; y = 1
2 should be distributed as 2y + 12; y = 6
Step-by-step explanation:
The equation is...
[tex]2(y+6)=4y[/tex]
First, we need to distribute the 2 to the numbers in the parentheses. We will multiply them both by 2.
[tex]2y+12=4y[/tex]
Now we can subtract 2y from both sides. On the left it will cancel and on the right we will be left with 2y.
[tex]12=2y[/tex]
Now we can just divide and...
y = 6
Given the functions f(x) = 6x + 11 and g(x) = x2 + 6, which of the following functions represents f[g(x)] correctly? f[g(x)] = 36x2 + 132x + 127 f[g(x)] = 36x2 + 132x + 121 f[g(x)] = 6x2 + 47 f[g(x)] = 6x2 + 36
Answer:
C. 6x^2 + 47
Step-by-step explanation:
The value of f[g(x)] is 6x² +47, the correct option is C.
What is a Function?A function is a law that derives a relation between two variables.
The function is f(x) = 6x+11
g(x) = x² +6
The operation f(g(x)) = 6 (x² +6) +11
f(g(x)) = 6x² +36 +11
f(g(x)) = 6x² +47
Therefore, the value of f[g(x)] is 6x² +47, the correct option is C.
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3. The perimeter of a rectangle is 98 feet. Find its dimensions assuming that its length is 2 feet less than twice its width.
The width is
(Simplify your answers.)
and length is
Answer:
w = 17 fts
l = 32 fts
Step-by-step explanation:
P = 2w + 2l
l = 2w - 2
98 = 2w + 2(2w - 2)
98 = 2w + 4w - 4
98 + 4 = 6w
6w = 102
w = 17 fts
l = 2×17 - 2 = 34 - 2 = 32 fts
-3x+ 7 = -2
what is x?
Answer: x = 3
Step-by-step explanation:
-3x+7= -2
-7 -7
-3x = -9 (divide by -3) ( remember negatives cancel each other out)
x = 3
Answer:
x=3
Step-by-step explanation:
The first thing that I did to solve this equation was do the opposite of the positive 7 so I subtracted 7 on both sides.
-3x + 7 = -2
-7 = -7
---------------------
-3x = -9
Now we have the equation of -3x = -9. From there we will do the reciprocal of -3x so we will divide it on both sides.
-3x/-3 = -9/-3
----------------------
x = 3
And now we have the answer of x=3.
please solve both. help quickly!!
Answer:
1/1000 for the 1st
1/100 for the 2nd
Step-by-step explanation:
0.1% is 0.001, which is 1/1000
1% is 0.01, which is 1/100
Answer:
0.1% = 10 1%=1/100
1. If 3x + 4y =0 and x= 2y -5 , find the value of (X,y). 2. The sine of an angle is the ratio of the opposite to the? 3. Calculate the volume of a cylindrical steel bar which is 8cm long and 1.75cm in radius. (Take ) pi 22/7 Please help.
Answer:
1.
3x + 4y = 0
x - 2y = 5
Solving them simultaneously we get
x = 2 and y = -1.5
Value of (x , y ) is ( 2 , -1.5)
2. Sine of an angle is the ratio of the opposite to the Hypotenuse
3.
Volume of a cylinder = πr²h
r = radius h = height
V = 22/7 × 1.75² × 8
V = 22/7× 24.5
V = 77cm³
Volume of the cylinder is 77cm³
Hope this helps.
Brainliest for whoever gets this correct with working out
Answer:
[tex] \frac{2x - 5}{x + 5} [/tex]
Step-by-step explanation:
Firstly, you have to factorize the expressions on the numerator and denorminator :
Numerator :
[tex]2 {x}^{2} - 3x - 5[/tex]
[tex] = 2 {x}^{2} + 2x - 5x - 5[/tex]
[tex] = 2x(x + 1) - 5(x + 1)[/tex]
[tex] = (2x - 5)(x + 1)[/tex]
Denorminator :
[tex] {x}^{2} + 6x + 5[/tex]
[tex] = {x}^{2} + x + 5x + 5[/tex]
[tex] = x(x + 1) + 5(x + 1)[/tex]
[tex] = (x + 1)(x + 5)[/tex]
Next, you have to put the factorized-form in the fraction and cut out the similar expressions :
[tex] \frac{(2x - 5)(x + 1)}{(x + 1)(x + 5)} [/tex]
[tex] = \frac{2x - 5}{x + 5} [/tex]
Write an equation in slope-intercept form for a line that passes through the two points (-2,-5) and (-4,3). Show your work.
Answer:
y = -4x - 13
Step-by-step explanation:
Use point - slope form to convert to y = mx + b form
1. Find the slope using y2 - y1 / x2 - x1
3 + 5 / -4 + 2
m = -4
2. Plug into point - slope form: y - y1 = m (x - x1)
y + 5 = -4 (x + 2)
Distribute
y + 5 = -4x - 8
Subtract 5 from both sides
y = -4x - 13
A bag contains 5 red marbles, 6 green marbles, and 3 blue marbles. If Cymra draws a marble, keeps it and then draws another marble, what is the probability that both marbles she draws will be red? 5/14×5/14 5/14 ×4/13 5/14×4/14 4/14×5/14
Answer:
Probability is the chance of occurrence of an event. The probability that both marbles are drawn by the Cymra are red
Step-by-step explanation:
20 POINTS AND BRAINLIEST!!! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Answer:
5
Step-by-step explanation:
The number of cells in a tile is 4, so the board dimension cannot be odd, but must be a multiple of 2 in order to have the number of cells divisible by 4.
If the tiles are colored in an alternating pattern, tiles must have 3 of one color and 1 of the alternate color. Hence the total number of tiles used to cover a board must be even (so the numbers of each color match). Then the board dimension must be divisible by 4.
In the given range, there are 5 such boards:
4×4, 8×8, 12×12, 16×16, and 20×20
Find the equation of a line that passes through (2.9) and is parallel to the graph of y = 2x + 6. Write the equation in slope-intercept form, if possible.
Select the correct choice below and fill in the answer box to complete your choice.
O A. The equation of the parallel line in slope-intercept form is
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
OB. The equation of the parallel line cannot be written in slope-intercept form. The equation of the parallel line is
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Y = 2x + 5
By plugging the slope and coordinates into point slope form, you can get the answer in slope intercept form.
O perímetro de um campo retangular é de 80 metros e sua area é de 320 metros quadrados. Encontre as dimensões do campo, corrija o décimo de metro mais próximo.
Answer:
Comprimento: 28.9 m; Largura: 11.1 m
Step-by-step explanation:
P = 2(C + L) = 80
A = CL = 320
2(C + L) = 80
CL = 320
C + L = 40
CL = 320
C = 40 - L
CL = 320
(40 - L)L = 320
40L - L^2 = 320
L^2 - 40L + 320 = 0
aL^2 + bL + c = 0
[tex] L = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] L = \dfrac{-(40) \pm \sqrt{(-40)^2 - 4(1)(320)}}{2(1)} [/tex]
[tex] L = \dfrac{40 \pm \sqrt{1600 - 1280}}{2} [/tex]
[tex] L = \dfrac{40 \pm \sqrt{320}}{2} [/tex]
[tex] L = \dfrac{40 \pm \sqrt{64 \times 5}}{2} [/tex]
[tex] L = \dfrac{40 \pm 8\sqrt{5}}{2} [/tex]
[tex] L = 20 \pm 4\sqrt{5} [/tex]
[tex] L \approx 28.9 [/tex] or [tex] L \approx 11.1 [/tex]
L = 28.9
C = 40 - L = 40 - 28.9 = 11.1
Answer: Comprimento: 28.9 m; Largura: 11.1 m
Share £10 in the ratio of 2:3 ASAPP!!!!!!!!!!!!
Answer:
£4 and £6
Step-by-step explanation:
Total = £10
Ratio = 2:3
Total Parts = 2+3 = 5
Divide it by the Total
=> 10/5 = £2
Multiply it by the ratios
1) 2 * 2 = £4
2) 3 *2 = £6
Answer:
4:6
Step-by-step explanation:
2+3=5
10/5=2
3x2= 6
2x2=4
4:6
The mean of a set of credit scores is Mu = 690 and sigma = 14. Which credit score is within a z-score of 3.3? 634 640 720 750
Answer:
720
Step-by-step explanation:
To solve this question, we would be using the formula for z- score
The formula for calculating a z-score is z = (x-μ)/σ
where x = raw score
μ = population mean
σ = sigma = population standard deviation.
From the question, we are given
The mean of a set of credit scores Mu = 690
sigma = population standard deviation 14
z - score = 3.3
This means we are to find x
z = (x-μ)/σ
3.3 = x - 690/ 14
Cross Multiply
3.3 × 14 = x - 690
46.2 = x - 690
x = 690 + 46.2
x = 736.2
Since we are told that it is a range, the closest out of the options given to our calculated x which is 736.2 is 720
Answer:
c. 720
Step-by-step explanation:
on edge
The sum of three different positive integers is 7. What is the product of these three
integers?
Answer:
2+1+4=7
Step-by-step explanation:
Just break apart your number.
since we are using (7), I just took a bit away from it.
so, 7-2=5
then, i broke apart 5 into 2 pieces.
5-4=1
so, 4, 1, and 2 work for this problem
3.
Reasons
Statements
MNOP is a parallelogram
PM || ON
N
M
Alternate Int. Zs Thm.
Given:
MNOP is a parallelogram
MN || PO
Alternate Int. Zs Thm.
Prove:
PM ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
Answer:
[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)
Step-by-step explanation:
1) MNOP is a parallelogram: Reason; Given
2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram
3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.
4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram
5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.
6) [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property
7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem
8) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).
Also we have;
9) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent
Simply the problem.
Answer:
C
Step-by-step explanation:
[tex]\sqrt{3}\cdot\sqrt{21}= \\\\\sqrt{3\cdot 21}= \\\\\sqrt{63}= \\\\3\sqrt{7}[/tex]
Therefore, the correct answer is choice C. Hope this helps!
Answer:
3√7
Step-by-step explanation:
√3×√21=√63
√63=√7×√9=√7 × 3
=3√7
Which statement correctly describes the graph of y = x + 7?
Answer: C
Step-by-step explanation:
The slope stays the same but the y-intercept is moved up 7 units.
81. What is the next number? 1, 1/2, 1/4, 1/8,
Answer:
1/16
Step-by-step explanation:
multiply by 1/2
1, 1/2, 1/4 , 1/8, 1/16
Answer:
1/16
Step-by-step explanation:
If you see the pattern it goes by x2 (the denominator)
1 , 1/2, 1/4, 1/8, 1/16
AJ is the bisector of ∠HJI. Determine the value of x. ANSWERS: A) 50 B) 10 C) 8 D) 25
Answer:
B) 10
Step-by-step explanation:
∠IJA= ∠HJA
ΔIJA has twice smaller side opposite ∠J than ∠A
Similarly
ΔHLA side 5 opposite ∠J,
So x/5= 20/10 ⇒ x= 5*2= 10
Answer choice is B) 10
Solve the following system by of linear equation by guass jordan method 2x+2y+4z=18 X+3y+2z=13 3x+2y-3z=14
Answer:
[tex]x + 3y + 2z = 13 \\ 2x + 2y + 4z = 18 \\ 3x + 2y - 3z = 14 \\ \\ x = - 3y - 2z + 13 \\ 2( - 3y - 2z + 13) + 2y + 4z = 18 \\ 3( - 3y - 2z + 13) + 2y - 3z = 14 \\ y = 2 \\ z = \frac{25}{9} - \frac{7}{9} y \\ z = \frac{25}{9} - \frac{7}{9} \times 2 \\ z = \frac{11}{9} \\ x = - 3 \times 2 - 2( \frac{11}{9} ) + 13 \\ x = \frac{41}{9} \\ y = 2 \\ z = \frac{11}{9} [/tex]
There are some sweets in a bag 18 of the sweets are toffees and 12are mints write down the ratio of them in the simplest form
Answer:
3:2
Step-by-step explanation:
18:12
simplest form =3:2
Answer:
3:2
Step-by-step explanation:
Divide both sides by 6
I WILL GIVE BRAINLIEST!!! Part A: The Sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 1.55 ⋅ 10^7 seconds? Express your answer in scientific notation and show your work. (5 points) Part B: Which is the more reasonable measurement of the distance between the tracks on a CD: 1.6 ⋅ 10−3 mm or 1.6 ⋅ 103 mm? Justify your answer. (5 points)
Answer:
Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm
Hope this helped you!
Step-by-step explanation:
What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2? Discriminant = b2 – 4ac –9 –7 7 9
Answer:
-7
Step-by-step explanation:
[tex]x^2+x+2=0 \\\\b^2-4ac= \\\\1^2-4(1)(2)= \\\\1-8= \\\\-7[/tex]
Hope this helps!
The value of the discriminant for the quadratic equation 0 = x + 2 + x² is -7.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + x + 2 = 0
The discriminant of a quadratic equation of the form ax² + bx + c = 0 is,
Discriminant = b² - 4ac
Here, a = 1, b = 1 and c = 2
Substituting,
Discriminant = 1² - (4 × 1 × 2)
= 1 - 8
= -7
Hence the discriminant of the given equation is -7.
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