Answer:
Step-by-step explanation:
Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB
=> MP là đường trung bình của tam giác DAB => MP//BD và MP=[tex]\frac{1}{2}[/tex]BD (1)
Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC
=> QN là đường trung bình của tam giác DBC => QN//BD và QN=[tex]\frac{1}{2}[/tex]BD (2)
Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN
và độ dài MP = độ dài QN = [tex]\frac{1}{2}[/tex]BD
=> vecto MP = vecto QN
Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN
I NEED HELP PLEASE!!!!!!!!!!!!!!!
Answer:
$2580
Step-by-step explanation:
$1500 dollars increased by 9%. In 8 years how much money he will have.
Ok, he has 1500 bucks in there
percents are an amount out of 100 so 9%=9/100
which, 9/100 in decimal form is .09
1500*.09 which is 135
135 dollars every year added
in 8 years, he will have earned 1080 bucks due to interest
1500+1080 which is 2580 dollars
he will have 2580
Answer:
1,616.60
Step-by-step explanation:
we know that
The compound interest formula is equal to
A=P(1+\frac{r}{n})^{nt}A=P(1+
n
r
)
nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}
t=5 years
P=$1,500
r=1.5%=1.5/100=0.015
n=4
substitute in the formula above
A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+
4
0.015
)
4∗5
A=1,500(1.00375)^{20}A=1,500(1.00375)
20
A=\$1,616.60A=$1,616.60
9. How many 6 inch strands of string
can be cut from a length of string
that is 8 yards long?
The equation 5y = 6 represents purchasing 5 tubs of yogurt for $6. Which of these equations are equivalent to the equation 5y = 6?
a
15y = 18
b
5y - 1 = 3
c
5y + 4 = 10
d
5y = 12
Answer: a 15y=18 and c 5y+4=10
Step-by-step explanation:
Tell whether the ordered pair (2, 6) is a solution of the system of linear equations. x+y=8 3x-y=0
Answer:
Yes, it is a solution.
Step-by-step explanation:
Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.
1st linear equation: 2+6=8, this is true.
2nd linear equation: 3x2-6=0, this is also true.
Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.
Help with number 3 please
Answer:
A biconditional statement is a combination of a conditional statement Its converse written in the if and only form
Help me please just help I need help rn like rn
Answer:
i.900
j.6
k.8
l.0
Step-by-step explanation:
hope this helps you ;)
The function f(x) is shown in this graph.
5
(0,2)
The function g(x) = -3x - 6. Compare the slopes,
Help plz
Answer:
The slopes are equal
Step-by-step explanation:
Calculate the slope m of f(x) using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
g(x) = - 3x - 6 ← is in slope- intercept form
with slope m = - 3
Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel
Plz help brainiest to the correct answer
1. -2 + 15 = 13
If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.
2. The temperature rose 15 degrees
-6 + 9 = 15
Answer:
1 a) 13 degrees Celsius
b) By fifteen degrees
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
Answer:
Thats one heck of a whole lot nuts
Step-by-step explanation:
Which is in an equation of the line through (0,0) and (-8,-5)?
O A. y = 2
O B. y= -5x
O C. y = $u
D. y=-8x
Step-by-step explanation:
Since the first coordinates are both (0,0) it implies that the line passes through the origin.
The slope of the line is therefore 5/8
The equation:
y-0=5/8(x-0)
y=5/8x
you have $15 and earn an additional $0.50 for each cup of water you sell. write an equation that represents the total amount of A (in dollars) you have after selling w cups of water
Answer: A = 15 + 0.5(w)
Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.
To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula
Graph the solution to this inequality on the number line.
-16 > -4p
0
-10
-8
-6
-4.
-2
2.
4
6
CO
CO
8
10
0
Answer: Graph is below
=============================================================
Explanation:
We divide both sides by -4 to isolate p. This will flip the inequality sign.
-16 > -4p
-16/(-4) < -4p/(-4)
4 < p
p > 4
The graph has an open hole at 4 and shading to the right. See below.
The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The inequality is,
⇒ - 16 > - 4p
Now, Solve the inequality as;
⇒ - 16 > - 4p
Multiply by -1;
⇒ 16 < 4p
Divide by 4;
⇒ 4 < p
Thus, The solution of the inequality is,
⇒ 4 < p
And, This is shown in number line.
Learn more about the number line visit:
https://brainly.com/question/28223520
#SPJ2
What type of triangle is ACD?
Thank u
Answer:
equilateral triangle
Step-by-step explanation:
B. equilateral triangle
write this equation in slope intercept form
(4, -3) (2, -9)
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]
[tex]y=3x+b[/tex]
[tex]-3=3(4)+b[/tex]
[tex]-3=12+b[/tex]
[tex]-15=b[/tex]
[tex]y=3x-15[/tex]
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]
The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?
Step-by-step explanation:
a ticket for 3 days cost = 35968
cost of 1 ticket = 35967÷3= 11989.33
therefore, 500 tickets cost= 500 x 11989.33
= 5994666.666, approximately 5994667
How do you rewrite 7x3+7x5
If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
What is a theme of the poem "Dream Variations" by Langston Hughes?
It is life's desire to live freely and expressively without boundaries.
People have the power within to make a fresh start in life.
One should spend less time living in the past and enjoy the present.
It is important to find balance between work and rest.
One theme of the poem Dream variations is the desire to live freely and expressively (option A).
In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.
About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:
"To fling my arms wideIn the face of the sun"
or in
"To whirl and to dance"
Learn more about poem in: https://brainly.com/question/9527212
Answer:
Step-by-step explanation:
I took the quiz :)
Write an equation in point-slope form that has a y-intercept at (0, 12) and also contains the point (1,2)
Answer:
y-2=-10(x-1).
Step-by-step explanation:
The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).
i NEED help pleaseee
Please I really need help (50 points)
Provide the missing statements and reasons for the following proof.
Answer:
PROOF FOR THE "PROVE" SECTION:
As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.
Filling in the missing blanks:
S1. Angle 1, Angle 2, Angle 3
S2. Angle 1 and Angle 2
R3. Congruent (___)
R5. supplementary angles
S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)
Hope this helped! Have a great day (pls mark brainliest)!!
Hello! so is this correct? is 16.093 x 10 = 5,000? or278,300? please help me if you see this. Thanks.
Answer:
160.93
Step-by-step explanation:
I'm not that great at math so forgive me if I'm wrong, but from my knowledge the answer would be 160.93 since you're multiplying 16.093 to 10.
hope this helped! :)
help with this graph please and thanks
Answer:
Okay, to graph this equation we need to graph the y-intercept first. This time its 7 for you, meaning 0,7. So graph (0,7) as your first point. Then we have your slope, which is -2/3`. So, from (0,7) we will do rise/run. So, our next point will be (3,5). We went down 2 and ran 3. Since its negative, we went DOWN.
-
if you want a third point, just ask!
-
Hope this helps.
-
<3
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆TOP and ∆ZAP
[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]
Hence
∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)
Step-by-step explanation:
Statement Reason
∠O ≅ ∠A Given
TO ≅ AZ Given
∠OPT and ∠ZPA are vertical angles Vertical angles theorem
∠OPT ≅ ∠ZPA Definition of vertical angles
ΔTOP ≅ ΔZAP Angle - angle -side AAS postulate
Simplify 3a(2a+7)-2a²
How many fish are in the aquarium in the restaurant?
Answer:
Which Restaurant and aquarium
Step-by-step explanation:
If you tell the name I can answer it
HELP!!!
list the sides of ABC in order from shortest to longest!
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
simplify the expression
3( 2x - 4) -1n
pls hurry
Answer:
(3)(2x) + 3 (-4) + - 1n
6x + -12 + - n
Answer -n + 6x - 12
i need help with this math question
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
__
Additional comment
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
