[tex] \sqrt{3} x + 4 - 2 = 3 \\ = > \sqrt{3} x = 3 - 4 + 2 \\ = > \sqrt{3} x = 1 \\ = > x = \frac{1}{ \sqrt{3} } \\rationalising \: \: \: the \: \: \: denominator \\ = > x = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = > x = \frac{ \sqrt{3} }{3} \\ [/tex]
Answer:[tex] \frac{ \sqrt{3} }{3} [/tex]
Answer: x = 7
Step-by-step explanation:
[tex]\sqrt{3x+4}=3+2[/tex]
[tex]\sqrt{3x+4}=5[/tex]
[tex]3x+4 =25[/tex]
[tex]3x = 21[/tex]
[tex]x=7[/tex]
Please give me a brainliest answer
What is the image of the point (-9,-1) after a rotation of 270 counterclockwise about the origin?
Answer:
uhh I'm pretty sure it's (9,1) went from quadrant 3 to 2 which is all positives
What is the answer to 2 and 3?
Answer:
p = -10
shortest side (a) = 5
longest side (b) = 12
Step-by-step explanation:
QUESTION 2: Solve for p by isolating the variable.
3/4 p - 1/4 p + 3 = -2 ----- subtract 3 from both sides
3/4 p - 1/4 p = -5
2/4 p = -5 ----- simplify 2/4
1/2 p = -5 ------ multiply 2 on both sides
p = -10
QUESTION 3:
Perimeter of a triangle = a + b + c
a = x
b = 3x - 3
c = 2x
x + 2x + 3x - 3 = 27 cm ------ combine like terms
6x - 3 = 27 ----- add 3 on both sides
6x = 30
x =5 ------- substitute 5 everywhere you see "x" for the side values
side a = x = 5
side b = 3x - 3 = 3(5) - 3 = 12
side c = 2x = 2(5) = 10
shortest side (a) = 5
longest side (b) = 12
Answer:
Answer to question 2:
[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]
[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]
[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]
[tex]Simplify\\[/tex]
[tex]2p=-20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]
[tex]p=-10[/tex]
_____________________________________
Answer to question 3
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Given:
Perimeter of ∆ = 27 cm
Side lengths of ∆: x, 2x, and 3x - 3
Required:
Measure of the shortest side and measure of the longest side.
Sum of all sides of the ∆ = Perimeter
Solve for x
Collect like terms
Add 3 to both sides
Divide both sides by 6
Length of each side of the ∆:
x = 5 cm
2x = 2(5) = 10 cm
3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Step-by-step explanation:
I need help pleaseeeee
No links
Answer:
320
Step-by-step explanation:
2 times 64 plus 4 times 48 equals 320
Here are the two triangles from the previous screen,
along with the length you entered for XY.
What is the slope of the line?
[_________] Submit and Explain
Answer:
the slope is 1/2
Step-by-step explanation:
I picked two points (the two from the purple triangle) and I did the rise over run. The rise was 3 and the run was 6 so the slope is 3/6 but when you simplify it, it goes down to 1/2
oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?
Answer:
8.25 feet
Step-by-step explanation:
3 2/3 times 2 1/4 equals 8.25
127% of 1958?
there's nothing else for the question so I'm just typing out this lol
May I please receive help?
Answer:
HG=7 , which would mean that HI =7 and KL = 6 so MK = 6
Answer:
HI = 7 and m ∠K = 100°
Step-by-step explanation:
In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are = and the angles are equal.
So HI = 7
In Δ KLJ, two sides are equal. If two sides of a triangle are equal then the angles opposite those sides are equal.
Now you know that m ∠L = 40°. In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°
Given the linear equation r=-2.5 t and t can only be a negative number, what quandrant will the r coordinate be located?
Answer:
quadrant 4 i think
Step-by-step explanation:
Answer:
Actually the correct answer is 2
Step-by-step explanation:
Mikala initially launches a toy rocket from a height of 3 feet above the ground. After 2 seconds, the rocket reaches its highest point of 11 ft and then returns to
the ground
.
• Create a model that can be used to determine the height of the toy rocket at a given time. Define your variables and show your work or explain how your
equation models the situation.
• Use the model to determine at what time the toy rocket will land on the ground. Show your work or explain your answer.
Enter your answers and explanations in the box.
[tex]y = -2x^2 + 8x + 3[/tex]
Using the model above, it is found that it lands on the ground after 4.35 seconds.The equation of a quadratic function of vertex (h,k) is given by:
[tex]y = a(x - h)^2 + k[/tex]
The vertex is the maximum point, which is (2,11), hence [tex]h = 2, k = 11[/tex]. Then:
[tex]y = a(x - 2)^2 + 11[/tex]
The initial height is of 3 feet, then when [tex]x = 0, y = 3[/tex], and this is used to find a.
[tex]y = a(x - 2)^2 + 11[/tex]
[tex]3 = 4a + 11[/tex]
[tex]4a = -8[/tex]
[tex]a = -\frac{8}{4}[/tex]
[tex]a = -2[/tex]
Then:
[tex]y = -2(x - 2)^2 + 11[/tex]
In standard format, the model is:
[tex]y = -2x^2 + 8x - 8 + 11[/tex]
[tex]y = -2x^2 + 8x + 3[/tex]
It hits the ground when [tex]y = 0[/tex], so:
[tex]-2x^2 + 8x + 3 = 0[/tex]
[tex]2x^2 - 8x - 3 = 0[/tex]
Which has coefficients [tex]a = 2, b = -8, c = -3[/tex]. So
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(-3) = 88[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + sqrt{88}}{4} = 4.35[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - sqrt{88}}{4} = -0.35[/tex]
Time is positive, so it lands on the ground after 4.35 seconds.
A similar problem is given at https://brainly.com/question/17987697
Solve the system of equations using the substitution method.
x+y=6
x = 2y
Answer:
x=4, y=2
Step-by-step explanation:
if x=2y just put 2y into the spot where x is for x+y=6
x+y=6
(2y) + y = 6
3y = 6
y = 2
now that I know y I can then replace y with the number 2
x= 2y
x = 2(2)
x= 4
Evaluate 5x2 + 2(4x - 7) – 8x for x = 3. Show your work.
Answer:
31
Step-by-step explanation:
5x^2 + 2(4x - 7) - 8x =
5 * 3^2 + 2(4*3 -7) - 8*3 =
5 * 9 + 2(12-7) - 24 =
45 + 2 * 5 - 24 =
45 + 10 - 24 =
55 - 24 =
31
May I ask what’s this answer?
I wasn’t in class today:(
Answer:
Top box: 15
Bottom box: 480
Answer:
[tex]\left[\begin{array}{ccc}5&15&20\\120&360&480\end{array}\right][/tex]
Explanation:
For every 5 gallons, there's 120 miles. If we know we have 360 miles, we can see how many times 120 goes into 360, which is 3.
5 * 3 = 15.
Then just reverse the process
Someone plz help me :(
D.
I am so sorry if it is wrong
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
you got the answer right there
Step-by-step explanation:
Answer:
-14/25
Step-by-step explanation:
7x +2 / 2 - 5x = -2 / 5
First you can cross multiply (shown in the picture):
Next, expand the brackets:
5(7x + 2) = -2(2 - 5x) → 35x + 10 = -4 + 10x
Now, simplify:
35x + 10 = -4 + 10x → 35x - 10x = -4 - 10 → 25x = -14 → x = -14/25
Hope this helps!
Answer please I appreciate it foo:)
Answer:
Your answer is the second one.
Step-by-step explanation:
All of the x's and y's match up.
Hope this helps!
Factor completely: 8x^2-4x-4
Answer:
4(2x+1)(x−1)
Step-by-step explanation:
8x2−4x−4
8x2−4x−4
=4(2x+1)(x−1)
How Do i get the correct answer for this?
Simple way :-
If a function has co-ordinates (x,y) then it's inverse has co-ordinates (y,x)
Now
(0,4)->(4,0)(1,6)->(6,1)(2,8)->(8,2)(3,10)->(10,3)What is 5 1/4 x 4 1/5
Answer:
The answer to your question is 22 1/20
Answer: [tex]22\frac{1}{20}[/tex] or 22.05
Step-by-step explanation:
[tex]\frac{21}{4}[/tex] × [tex]\frac{21}{5}[/tex]
[tex]=\frac{441}{20}[/tex]
[tex]22\frac{1}{20}[/tex] or 22.05
please give me a brainliest answer
THIS ABOUT TO BE OVERDUE PLS HELP ME
What is the missing angle
55°
Step-by-step explanation:
110+15+x =180
x = 180 - 125
x = 55°
Answer:
Step-by-step explanation:
Para que con exactitud se pueda poner líquido en dos tambos de 60 y 90 litros, respectivamente, ¿Cuál es la capacidad máxima en litros que debe tener el recipiente a utilizar? *
Answer:
No estoy muy seguro de esta pregunta principalmente porque tuve que traducirlo del español al inglés, pero creo que el toldo es de 120 litros. Avísame si me equivoco
Step-by-step explanation:
Esto se debe a que 60 litros es el máximo que puede aguantar el más pequeño por lo que para poner 60 litros en cada uno debes tener 120 litros en total.
im kinda LayZai to do dis, help pleaseeeeeeeee
Answer: 2 hours 25 minutes
Step-by-step explanation:
Answer:
2 hours 25 minutes.
Step-by-step explanation:
12:15pm-9:50am=2:25.
Pretty much it, hope this helps!
Renee bakes cake pops. Each of her cake pops weigh 334
3
3
4
ounces. She needs to ship a dozen cake pops and will need to tell the shipping company the weight of the pops. What weight should she tell the shipping company for a dozen cake pops?
Answer:
Fraction 3 out of 3 /4
Step-by-step explanation:
broborborogjdgjdsfjshfha
Answer:
waja
Step-by-step explanation:
Answer:
Not answerable
Step-by-step explanation:
What is the question?
a few questions here sryy
An airplane travels at a speed of 582 miles per hour to reach its destination in 4 hours. Determine the duration of the flight, if the airplane travels at a speed of 388 miles per hour.
(for the graph image)
write an equation for the given graph
T = d/14000
d = T/14000
14000 = T/d
T = 14000/d
T = 14000d
It takes 6 hours to reach the destination when traveling at 388 mph.
Speed is the ratio of total distance traveled to the total time taken It is given by:
Speed = distance/time
Given that it takes 4 hours to reach a destination when travelling at 582mph, hence the distance is:
582 = distance / 4
distance = 2328 miles
If travelling at 388 mph, the time is:
388 = 2328 / time
time = 6 hours
Hence it takes 6 hours to reach the destination when traveling at 388 mph.
Find out more at: https://brainly.com/question/22610586
The PTA makes a $5.00 profit on each school sweatshirt they sell. If they made a
profit of $2,170.00, how many sweatshirts did they sell?
Answer:
434 sweatshirts were sold
Step-by-step explanation:
$2,170/$5 = 434
If 5x+ 3 = 10x– 17, what is the value of x?
A. 1
B. 2
C. 3
D. 4
E. 5
Answer:
D
Step-by-step explanation:
First, we will move the variable to the left-hand side and change its sign: 5x + 3 - 10x = -17
Next, we need to collect like terms: -5x = -20
Finally, we will divide both sides of the equation by -5 to give us the answer of x = 4.
Which number has the greater value, 7*10^-9 or 6*10^-4
Answer:
6*10^-4 has a greater value.
Step-by-step explanation:
7*10^-9= 0.000000007
6*10^-4= 0.0006
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?
Answer:
$ 24.75
Step-by-step explanation:
10/100 = x/27.50 (10% is what of 27.50) (%/100 = is/of)
(27.50)(10)/100 (cross multiply)
= $2.75 (tax)
27.50 - 2.75 = $ 24.75
hey guys need help plese feeling like giving out mega points today
Answer:
The choice A.
Step-by-step explanation:
[tex] \frac{( \frac{a}{b} + 1) }{( \frac{b}{a} - 1) } \\ \\ \\ \frac{( \frac{a}{b} + \frac{b}{b}) }{( \frac{b}{a} - \frac{a}{a}) } = \frac{( \frac{a + b}{b}) }{( \frac{b - a}{a}) } \\ \\ \\ ( \frac{a + b}{b} ) \div ( \frac{b - a}{a} ) \\ \\ \\ (\frac{a + b}{b} ) \times ( \frac{a}{b - a} ) \\ \\ \\ = \frac{a(a + b)}{b(b - a)} [/tex]
I hope I helped you^_^