Answer:
[tex] \huge \boxed{ \boxed{ \red{2 \sqrt{3} - 1}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:redicalsimplifying redicalPEMDASgiven:[tex]\tt \sqrt{13-4\sqrt{3}}[/tex]to do:simplificationtips and formulas:(a-b)²=a²-2ab+b²√(a)²<=>|a|let's do:[tex]step - 1 : define [/tex]
[tex] \tt \sqrt{13 - 4 \sqrt{3} } [/tex]
[tex]step - 2 : simplify[/tex]
[tex] \tt use \: the \: 1 \: formula : \\ \tt \sqrt{ 1 + 12 - 4 \sqrt{3} } \\ \tt \sqrt{1 - 4 \sqrt{3} + 12} \\ \tt \sqrt{ {(1)}^{2} - 2.1.2 \sqrt{3} + {(2 \sqrt{3}) }^{2} } \\ \sqrt{ \tt (1 - 2\sqrt{3} {)}^{2} } [/tex][tex] \tt use \: the \: 2 \: formula : \\ \tt |1 - 2\sqrt{3} | \\ \tt - (1 - 2 \sqrt{3} ) \\ - 1 + 2 \sqrt{3} \\ 2 \sqrt{3} - 1[/tex]HELP FAST!!!!
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
A. -3x + 4y = 3
B. -1.5x − 3.5y = -31.5
C. 2x + y = 20
D. -2.25x + y = -9.75
Answer:
[tex]-1.5x - 3.5y =- 31.5[/tex]
Step-by-step explanation:
Given
AB: [tex]-7x + 3y = -21.5[/tex]
[tex]PQ(x_1,y_1) = (7,6)[/tex]
Required
Determine the equation of PQ
First, we calculate the slope of AB:
[tex]-7x + 3y = -21.5[/tex]
Make 3y the subject
[tex]3y = 7x - 21.5[/tex]
Make y the subject
[tex]y = \frac{7}{3}x - \frac{21.5}{3}[/tex]
An equation has the general form:
[tex]y = mx + b[/tex]
Where m = slope
So:
[tex]m = \frac{7}{3}[/tex] -- Slope of AB
From the attached diagram, we can see that PQ is perpendicular to AB.
This means that, the relationship between their slope is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
Substitute 7/3 for m1
[tex]m_2 = -\frac{1}{7/3}[/tex]
[tex]m_2 = -\frac{3}{7}[/tex]
The equation of PQ is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = m_2 = -\frac{3}{7}[/tex]
and
[tex]PQ(x_1,y_1) = (7,6)[/tex]
So, we have:
[tex]y - 6 = -\frac{3}{7}(x - 7)[/tex]
Multiply both sides by 7
[tex]7(y - 6) = -\frac{3}{7}(x - 7)*7[/tex]
[tex]7y - 42 = -3(x-7)[/tex]
Open bracket
[tex]7y - 42 = -3x + 21[/tex]
Collect Like Terms
[tex]3x + 7y = 42 + 21[/tex]
[tex]3x + 7y = 63[/tex]
Divide through by -1/2
[tex]-\frac{1}{2}(3x + 7y) = -\frac{1}{2}*63[/tex]
[tex]-1.5x - 3.5y =- 31.5[/tex]
The equation of PQ is: [tex]-1.5x - 3.5y =- 31.5[/tex]
Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
Got it right on the test. ; )
i don't get this one
Answer:
rectangles, square, and isosceles trapezoids
Step-by-step explanation:
It's asking which shapes always have the property that two pairs of two angles next to each other are congruent.
This would be true for rectangles, square, and isosceles trapezoids.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12.56
Step-by-step explanation:
The formula to find the Circumference of a circle is [tex]C=\pi D[/tex] where d is the diameter and c is the circumference.
First, calculate the diameter of the circle by multiplying the radius by 2 and substitute it in for the value of D:
[tex]C=\pi 4[/tex]
Then, multiply pi and the diameter together:
[tex]C=12.56[/tex]
Answer:
12.57
Step-by-step explanation:
trust me
Please help!! Please
what do u need help with?
Step-by-step explanation:
I'm in confusion
¯\(°_o)/¯
What about the equation?
Answer:
hmm...Umm not sure what that is You are talking about
Answer:
which equation?? mmmmm.........
xy(3x2 – 2y2) – yz(2y2 – 3x2) + zx(15x2 – 10y2)
1/3S=9
Three options
A S=3
B. S2/3
C S=27
1/3 times S=9
Answer:
C
Step-by-step explanation:
1/3S=9
multiply 3 on both sides
S=27
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
(4,0)
Step-by-step explanation:
Question Help
The number of kilograms of water in a human body varies directly as the mass of the body. An 87 kg person contains 58 kg of water. How many kilograms of water are
in a 78 kg person?
kg of water are in a 78 kg person
Answer:
52kg
Step-by-step explanation:
use cross multiplication method when encounter problems like these
Complete the square to solve 3x2 + 12x = 9.
O A. x=2+1
O B. %= 3 + 6
OC. X=-2+
O D.%-
D. x=-2 + 13
Answer:
C) x = -2 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
3x² + 12x - 9 = 0
divide through by 3
x² + 4x - 3 = 0
add 3 to each side
x² + 4x = 3
divide 4 in half and square it; add it to each side of equation
x² + 4x + 4 = 3 + 4
(x + 2)² = 7
x + 2 = [tex]\sqrt{7}[/tex]
x = -2 ± [tex]\sqrt{7}[/tex]
Solve for the area:
32 cm^2
16 cm
32 cm
16 cm^2
[tex] \\ [/tex]
To Find : Area of triangle = ?[tex] \\ [/tex]
Solution :As, we have :
Base of triangle, b = 8 cmHeight of triangle, h = 4 cm[tex] \\ [/tex]
So, to find area of triangle we have a formula :
[tex] \large \underline{\boxed{\bf{Area_{(triangle)} = \dfrac{1}{2} \times b \times h}}}[/tex]
[tex] \tt : \implies Area = \dfrac{1}{2} \times 8 \: cm \times 4 \: cm[/tex]
[tex] \tt : \implies Area = \dfrac{1}{2} \times 32 \: cm^2[/tex]
[tex] \tt : \implies Area = \cancel{\dfrac{32}{2}} \: cm^2[/tex]
[tex] \tt : \implies Area = 16 \: cm^2[/tex]
[tex] \\ [/tex]
Hence, area of given triangle is 16 cm².
What is the slope of the line that passes through (3,3) (7,6)?
Answer:
3/4 i think
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
slope=(y_2-y_1)/(x_2-x_1)
slope=(6-3)/(7-3)
slope=(3)/(4)
slope=0.75
An artist spent $75 on supplies to create paintings. Each painting the artist created was sold for $25.
Which function can be used to find p, the profit when x paintings are sold?
Answer:
25*x=p?
or
75/25=3
3= how many paintings the artist made
Step-by-step explanation:
I think its 75 divided by 25. Which would get you 3? Use that 3 to find the profit? Or it could be 25 times x which would get you the amount of p?
Factorize
2(x+y) ²+9 (x+y)+7
Answer:
(2x+2y+7)(x+y+7)
Step-by-step explanation:
I suspect this is what you are expected to do.
Define z=x+y
2z^2+9z+7
2z^2+2z+7z+7
2z(z+1)+7(z+1)
(2z+7)(z+1)
(2x+2y+7)(x+y+7)
HELP!!
Which of these matrices have a positive determinats??
Answer:
3 and 4!!
hope this helps!!!
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
equation 80
Step-by-step explanation:
sana makatulong ❤❤
A family buys 5 airline tickets online. The family buys travel insurance that costs $17 per ticket. The total cost is $890. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answer: Equation that represents this situation is 5(x+17) = 1495,
Price of one ticket is 282
Step-by-step explanation:
Here x represents the price of one ticket,
Also, a person bought travel insurance that costs $17 per ticket.
Hence, the total cost of a person = x + 17
⇒ The total cost of 5 person = 5 ( x + 17 )
But, According to the question,
5 ( x + 17 ) = 1495
⇒ x + 17 = 299
⇒ x = 299 - 17
⇒ x = 282
Hence, the price of one ticket = $ 282
Let n be the product of the two smallest 3-digit prime numbers. Find the sum of the digits of n.
Answer:
Step-by-step explanation:
n = 101 × 103 = 10,403
sum of digits = 8
Solve: 12x^2+5x-4=12^2x+6
A. x = 2
B. x = –5
C. x = 2, x = –5
D. no solution
Which equation means the same as two more than the number of
apples is 5?
Group of answer choices
A. 2 + 5 = a
B. 2(a + 5) = 10
C. 2a + 5 = 5
D. a + 2 = 5
Answer:
D. a + 2 = 5
Step-by-step explanation:
apples + 2 more = 5 total
Please hep me with this question. Thanks!
1 + 2 + x 7 + 2?
Answer:
7x+5
Step-by-step explanation:
Mrs. Wicker bought a case of 24 juice boxes for $12. How much did each box of juice cost?
Answer:
If 24 juice boxes=12$
Then one box=24÷12=2
One box is 2$
Step-by-step explanation:
:)
find the mean median and mode of 5, 9, 7, 12, 6, 4, 10, 8, 14, 9, 4
Answer:
Mean:8
Median:8.5
Mode:9,4
Step-by-step explanation:
Mean Steps:
mean(5,9,7,12,6,4,10,8,14,9,4)
To find the mean of the set 5,9,7,12,6,4,10,8,14,9,4 first add the members together.
5+9+7+12+6+4+10+8+14+9+4=88
The mean (average) of the set 5,9,7,12,6,4,10,8,14,9,4 is found by dividing the sum of its members by the number of the members, in this case 11.
88/11 = 8
Mode Steps:
Mode(5,9,7,12,4,10,8,14,9,4)
The mode of a set is the value that appears most often. The mode can have more than one value if two or more values appear the same number of times and more times than any other values in the set.
mode(5,9,7,12,4,10,8,14,9,4)
Putting the numbers in order can make it easier to find the mode because values that appear more than once will be next to each other.
4,4,5,7,8,9,9,10,12,14
In this case the mode has more than one value because 9 and 4 both appear 2 times, more often than any other values.
mode(4,4,5,7,8,9,9,10,12,14)=9,4
Find the length of side x in simplest radical form with a rational a
denominator.
Step-by-step explanation:
the answer is
[tex]x = \sqrt{3} [/tex]
Write x² - 6x + 3 in the form (x-a)²+ b.
Answer:
(x + 3)² - 12
Step-by-step explanation:
x²+6x-3
= x²+ 6x + 9 - 12
= (x + 3)² - 12
The form of x² - 6x + 3 can be written as (x-3)² - 6.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
Equation= x² - 6x + 3
Now,
To write x² - 6x + 3 in the form (x-a)²+ b, we can use the method of completing the square. This involves adding and subtracting a constant term to make the expression a perfect square trinomial. Here are the steps:
Write x² - 6x + 3 as x² - 6x + ___ - ___ + 3, leaving two blanks for the constant term.
To find the constant term, divide the coefficient of x by 2 and square it. In this case, -6/2 = -3 and (-3)² = 9. So we fill in the blanks with 9 and get x² - 6x + 9 - 9 + 3.
Factor the first three terms as a perfect square: (x - 3)² - 9 + 3.
Simplify the last two terms: (x - 3)² - 6.
Compare with the form (x-a)²+ b and identify a and b. In this case, a = 3 and b = -6.
Therefore, by the given equation the answer will be (x-3)² - 6.
Learn more about quadratic equations;
https://brainly.com/question/17177510
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if you answer all of these i will give you brainliest its simple math problems
Answer:
1. 3/4, 0.75, 75%
2. 1/4, 0.25, 25%
3. 3/5, 0.6, 60%
4. 5/5, 1, 100%
5. 1/2, 0.5, 50%
6. 4/6, 0.6, 66.6%
Step-by-step explanation:
Helppp plzzzzzzzzzzzzzz
Answer:
equivalent
Step-by-step explanation:
i just know
In the diagram below, a window of a house is 15 feet above the ground. A ladder is placed against the house with its base at an angle of 75° with the ground.
Determine and state how far away from the house the base of the ladder is placed to the nearest foot.
I'm trying to do a Desmos activity, help!
9514 1404 393
Answer:
4 feet
Step-by-step explanation:
Desmos is useful for finding the answer to this. The problem statement tells you the angle with the x-axis is 75°. If we put the ladder in the first quadrant, the slope will be -tan(75°). We can raise its end to the 15 ft level by making the y-intercept be 15. Then the x-intercept answers the question: 4 ft.
_____
Additional comment
The angle mode needs to be set to Degrees in the Desmos settings for this equation to produce the correct graph.
the answer is 15.5 for this question
If you wanted to measure how much your dog weighs, which unit of measure would you use?
A: Grams
B: Meters
C: Liters
Answer:
Grams
Step-by-step explanation:
Meters is for measuring height
Litres are for measuring water
ANSWER QUICK FOR BRANLIEST PLEASEEEE!!! There are 4 packs of crayons for every 7 students. How many students can share 16
packs?