Answer:
a = 4, x = 1
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
WX = YZ , that is
a² + 5a = 5a + 16 ( subtract 5a from both sides )
a² = 16 ( take the square root of both sides )
a = ± [tex]\sqrt{16}[/tex] = ± 4
Since a > 0 , then a = 4
Also
XY = WZ , that is
x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Since x > 0 , then x = 1
A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure
Step-by-step explanation:
perimeter is 4x+6 +20x-8=20x-2
area is 20x^2+22x-12
GIVING BRAINLIEST!!!!!
What type of triangle is shown in the image?
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
Well wheres the image?
Step-by-step explanation:
Answer:
Obtuse triangle
Step-by-step explanation:
Someone said so
someone please help me answer this question
Answer:
10. $33.5, c=3.50r+9
11. $51
Step-by-step explanation:
can someone please help me?
Answer:
A
Step-by-step explanation:
Answer:
A) 18.75
Step-by-step explanation:
As I said in the comments,
The question is asking for volume, so -
50 x 1.5 x 0.25 = 18.75
Hope this helped :)
ILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS CORRECTLY!
Annita baby sits at a rate of $7 per hour. Identify the type of relationship this represents. Explain your answer.
Answer: The relationship is proportional.
Step-by-step explanation: Because the baby sitters work corresponds to their hourly pay. (I think)
Help ASAP
Here is a system of linear equations: -2x + y = 7
6x + y = 11
What is the solution to the system of equations shown?
A
(1/4, 7 1/2)
B.
(2, 11)
c.
(1/2, 8)
D.
(3, -7)
Yes
Answer:
c. (1/2, 8)
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
-2x + y = 7
Step 1: Subtract y from both sides of the equation.
-2x = -y + 7
Step 2: Divide both sides by -2
x = 1/2y - 7/2
Substitute what you see above this statement for y in the other equation.
6(1/2y - 7/2) + y = 11
Step 3: Multiply 6 by 1/2y - 7/2.
3y - 21 + y = 11
Step 4: Combine y and 3y.
4y - 21 = 11
Step 5: Add 21 to both sides
4y = 11 + 21
4y = 32
Step 6: Divide both sides by 4.
y = 32/4
y = 8
Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.
x = 1/2(8) - 7/2
Step 8: Multiply 1/2 by 8.
x = 4 - 7/2
Step 9: Add -7/2 to 4.
x = 1/2
The system is now solved, and we get C (1/2, 8) as our answer.
Answer:
C
Step-by-step explanation:
I did the test myself
Use the distributive property to expand (simplify): 4(x + 7)
Answer:
4x+28
Step-by-step explanation:
Hi there! :)
The Distributive property is here to help us simplify!
Let's remember what this useful property states.
It states that
a(b+c)=ab+ac
Now, let's use this property to simplify the given expression:
4(x+7)
4x+28
Hope it helps!
Enjoy your day!
[tex]\bf{-Misty ~Sparkles-[/tex]
how many boys are in the choir
9514 1404 393
Answer:
D. 210
Step-by-step explanation:
If b is the number of boys in the choir, the ratio of boys to girls is ...
b/150 = 7/5
b = 150(7/5) = 30(7) = 210
There are 210 boys in the choir.
You track the temperature from the time you you eat your lunch to the time you go to bed. you find that it drops 2 decrease each other for 10 hours. which expression that shows the change in temperature?
Answer:
-2 times 10 or
-2*10
Answer:
they both are multiplucation Which means they both increse so ether the answers are wrong or the question its self is wrong.
What is the volume, in cubic feet, of a rectangular prism with a height of 5 feet, aho
width of 20 feet, and a length of 5 feet?
Answer:
500 cubic feet
Step-by-step explanation:
5 * 20 * 5 = 500 cubic feet
Which equation does not represent a linear function
Answer:
D should be the one that DOES NOT represent a linear function
solve for x. please please i need help help me please
Pls help I have this homework !! bye I will mark you the best or brainliest!!
Answer:
90-54w
Step-by-step explanation:
18(5−3w)=
18*5=90 , 18*3w= 54w =
so simplified it would be = (90-54w)
Please mark me as brainliest :D
the base of a jewelry box is a square with a side length of 5 1/2 inches. the box is 2 inches high. what is the volume of the box?
The volume of the jewelry box is 60 1/2 cubic inches.
The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:
Area = (5 1/2) × (5 1/2) = 30 1/4 square inches
The height of the box is 2 inches.
Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:
Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches
Thus, the volume of the jewelry box is 60 1/2 cubic inches.
Learn more about the volume here:
https://brainly.com/question/9465338
#SPJ1
What is the value of tan x
Answer:
THE ANSWER HAS TO BE 6/10
Step-by-step explanation:
The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......
(a) Write down the nth term of the sequence (general formula).
(b) Calculate the 100th term of the sequence.
(c) Find the sum of the first 100 terms of the sequence.
Answer:
a) n = 4(n-1)+1
b) 397
c) 19900
Step-by-step explanation:
what is the value of x and y?
Answer: (x,y) has the meaning of plane's point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi.
Step-by-step explanation:
URGENT 100 POINTS (all fake answers will be removed and i will take the points back)
Quadrilateral ABCD is inscribed in circle O.
What is m∠A ?
Answer:
42 degrees (check attachements) hope it helps!
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.
m<B + m<D = 180
2x + 3x - 5 = 180
5x = 185
x = 37
m<A = x + 5
m<A = 37 + 5
m<A = 42
0.73 recurring can be writeen as 11/15
Answer:
yes , see explanation
Step-by-step explanation:
We require 2 equations with the recurring 3 placed after the decimal point.
let x = 0.7333.. ( multiply both sides by 10 and 100 )
10x = 7.333... → (1)
100x = 73.333.... → (2)
Subtract (1) from (2) , eliminating the recurring 3
90x = 66 ( divide both sides by 90 )
x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]
Tome walks 1/3 of a mile in 1/4 of an hour. At this rate, how many miles will Tom walk in 1 hour?
Answer:
2 miles i think
Answer:
In 1 hour, he'll walk 4/3 miles
Step-by-step explanation:
Ratios:
[tex]\frac{1/3}{1/4} =\frac{x}{1} \\\\\frac{1}{4} x=\frac{1}{3} \\\\x=\frac{4}{3}[/tex]
Please help me with the answer to these. The second picture goes along with the first
On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?
Answer:
There are 125 very thin branches.
5 branches x 5 smaller branches = 25 smaller branches25 smaller branches x 5 very thin branches = 125 very thin branches125 very thin branches in your final answer!The worlds heaviest lobster weighted 44 pounds 6 ounces. What is the lobsters weight in ounces. Explain your thinking
Answer:710
Step-by-step explanation:
On an island there are 7 cities each 2 of them connected by a direct road they are building a 8th city they also want it to connect with the other 7 existing cities how many roads will there be after they build the 8th city
Answer:
After the 8th city is built there will be 28 roads between the cities
Step-by-step explanation:
The given parameters are;
The number of cities initially on the island = 7 cities
The number of roads between each 2 cities = 1 road
Therefore, we have the number of roads between the 7 cities are;
7 cities taking 2 at a time = ₇C₂
[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]
The initial number of roads between the 7 cities = 21 roads
The number of roads, 'n' there will be after the 8th city is built is therefore;
[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]
The number of roads there will be after the 8th city is built, n = 28 roads.
what is the product of the polynomials? (3x-2)(12x+7)
Answer:
36x²-3x-14
Step-by-step explanation:
(3x-2)(12x+7)
36x²+21x-24x-14
36x²-3x-14
helpppp helping my sister
Answer:
i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie
Step-by-step explanation:
2/5 meters= blank cm
Answer:
⅖ m = 40 cm
Step-by-step explanation:
1 meter = 100 cm
1 : 100 = 2/5 : y
1 × y = 100 × 2/5
y = 40
pls help me!! will give brainliest
Answer: (0,0)
If AB is translated right 5 units and down two then both points are translated by that amount.
A currently is (-5, 2)
x=-5 and y=2
Since youre going right by five your x value will increase by 5 so the point will instead be at x=0
Since youre going down by two your y value will decrease by 2 so the point will instead be at y=0
x=0 and y=0
(0,0)
Answer: its 0,0
Step-by-step explanation:
hehehdhdhdhdhdhshshshhs
bghvfdddddcvbnmjkliuytrftfgvvvvv nbv nbv hjgfdc
Step-by-step explanation:
hgfdcvbnmkloiuytredfxghgcfxchgjnjngjggjjjjjttttttttttttttttrrrrrtkkkkkkkkkkddddddddddddddddddddddddddddddddddujhhhhhhhhgfnmmmmmmmmmhhurtghbfnvbmgjkuttdggggggggggggggggggggggggggggggggggggggggggggggggggggf
Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?
Respuesta:
(-1, - 2,4)
Explicación paso a paso:
Dada la función:
ℎ (x, y) = 5000 - 0,001x2 - 0,004y2
Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido
H '(x, y) = (dh / dx, dh / dy)
dh / dx = 2 (-0.001x) = - 0.002x
dh / dy = 2 (-0.004y) = - 0.008y
H '(500, 300) = (- 0,002 (500); - 0,008 (300))
H '(500, 300) = (- 1; - 2,4)
Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)