Answer:
PX : XQ = 2 : 5
Step-by-step explanation:
Since RX is perpendicular to PQ , then
Δ RPX and Δ RQX are right triangle
Calculate PX and XQ using Pythagoras' identity in the right triangles
PX² = 20² - 16² = 400 - 256 = 144 ( take square root of both sides )
PX = [tex]\sqrt{144}[/tex] = 12
Similarly
XQ² = 34² - 16² = 1156 - 256 = 900 ( take square root of both sides )
XQ = [tex]\sqrt{900}[/tex] = 30
Then
PX : XQ = 12 : 30 = 2 : 5 ( in simplest form )
5x=4y make x the subject
Answer:
[tex]x = \frac{4y}{5}[/tex]
Step-by-step explanation:
[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]
Hope this helps.
Please help! ):
For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).
Answer:
(g°f)(x) = 54x^2 - 144x + 101
Step-by-step explanation:
(g°f)(x)= g(f(x)) = g(3x-4) = 6(9x^2 - 24x + 16)+5 = 54x^2 - 144x + 101
What can i multiply 2/3 by to make a product of 1? Explain how you know.
Answer:
[tex]\mathsf{\frac{3}{2}}[/tex]
Step-by-step explanation:
In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.
In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].
Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.
write answer in scientific notation. (2.66×10¹³)÷(9.5×10⁵)
Answer: 28,000,000
Step-by-step explanation:
This is a long one.
Start with (1) 2.66 times 10 to the 13th = 26,600,000,000,000 {2.66E13}
(2) 9.5 times 10 to the 5th = 950,000
(3) 2.66E13 divided by 950,000 = 28,000,000
If this dosnt make any sense dont hesitate to say so.
W to the 3rd power over W to the -2 power
Answer:
[tex]w^{5}[/tex], w to the power of 5
Step-by-step explanation:
[tex]\frac{w^3}{w^-2}[/tex]
When dividing indices with the same base number, you can subtract the powers: 3 - (-2) = 5. Therefore the answer is [tex]w^{5}[/tex]
Hope this helps!
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawns, $9 for washing cars, and $7 for walking dogs. Mr. Jeffries has not paid his bill in 3 weeks. If Tim performed each job for Mr. Jeffries
once, how much does Mr. Jeffries owe Tim? Write an addition equation using integers to represent the
situation. Represent Mr. Jeffries' balance as an integer.
Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
D ($28)
Step-by-step explanation:
-12 + -9 + -7 = -28
It costs $36,736 to repay a loan of $20,500 at 6.6% annual simple interest
How much interest would pay each year?
Find the total amount of interest paid
How many years does it take to repay the loan?
Answer:
$1,353 a year $16,256 total paid 12 years
BRAINLIEST
Please help only three questions
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!
Answer:
Step-by-step explanation:
5.
So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.
So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.
x² = 20² + 9²
x² = 400 + 81
x² = 481
x = [tex]\sqrt{481}[/tex]
x =~ 21.93
x = 21.9
6.
Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:
y² = 19² - 17²
y² = 361 - 289
y² = 72
y = [tex]\sqrt{72}[/tex]
y =~ 8.48
x = 31 - (2 * 8.48)
x = 31 - 16,96
x = ~14,04
x = 14.0
If a = - 1 and y = 2 what is the value of the expression 2a³ - 3ay?
Answer:
the valve of the expression would be 184
Step-by-step explanation:
Got it right on edge
Is this answer right?
Answer:
Step-by-step explanation:
all angles are congruent:false
B.consecutive angles are congruent:false
corresponding angles are congruent:true.
c.diagonals bisect eachother:true.
d.diagonals bisect opposite angles:false.
how do I show how the area of a rectangle is found when the area is 2352cm²
Answer:
Just Multiply L×B And you'll get it
And if you want me to solve then give a image!
Hope its helps!
Mark me BRAINLIESTIDENTIFY TWO SEGMENTS THAT ARE MARKED PARALLEL TO EACH OTHER.
PLEASE HELP, WILL GIVE BRAINLIEST.
Hey there!
I believe segment ED and AB are parrarel to each other.
Hope this helps! :)
Have a great day!
What is the measure of angle f
Answer:
48°
Step-by-step explanation:
1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.
2) Substitute the values into a + b + c = 180, where [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].
Hence,
[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]
3) Find the angle of F by substituting 11 into x.
[tex]=5(11)-7\\=55-7\\=48[/tex]
Therefore, angle F has a measure of 48°.
The ________ sum of squares measures the variability of the group means around the overall mean. Group of answer choices between within interaction total
What is the equation in point-slope form of the line that passes through the point (1, −1) and has a slope of 4?
Step-by-step explanation:
the general point-slope form is
y - y1 = m(x - x1)
m is the slope.
x1 and y1 are the point coordinates.
so,
y - -1 = 4(x - 1)
and simplified
y + 1 = 4(x - 1)
Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year
Answer:
8 months
Step-by-step explanation:
12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8
Sandra has designed this open container. The height of the container is 35 cm.
(a) The cross section of the container is given below. Find the area of the following figure.
Answer:
329.87cm2
Step-by-step explanation:
Actually include the question next time.
Full Bottom Is semi circle.. find the area of the semicircle that's A1...
Then find the area of the smaller circle marked in red.. that's A2...
Then A1 - A2 will give you bottom area...
Now move to top one... Top one is a semi circle.. find its area A3...
So add both A3 with A1-A2...
Total will give the area of the shape
The area of the cross-section of the container will be 329.87 cm²
To determine the area of the cross-section of the open container, we need to find the area of the semicircle and add them up.
Area of the container:
Area = (2π r²) + (2πrh)
We are Given, the diameter are 17.5 cm and 6.5 cm respectively.
Diameter of the complete circle will be;
(17.5 + 6.5) =24.0
Area of complete circle is π x( 12)²
452.16 cm²
Therefore, the area of the circle A is (π x( 17.5/2)²
= 240.40 cm² (approx).
Therefore, the area of the circle B is (π x( 6.5/2)²
= 33.166
Total area of circle = 452.16 cm² - 33.166
Area = (452.16 cm² - 33.166 cm² ) + (2x 3.14 x 12 x 35)
Area = 329.87 cm²
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The height of above ground level in meters of missile launched vertically,is given by
H(t)=-16t³+100t
At what time is the missile 72m
The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Let h(t) represent the height of the missile above the ground at time t. Given that:
h(t) = -16t³ + 100t
When the height is 72 m:
72 = -16t³ + 100t
16t³ - 100t + 72 = 0
t = 2 seconds and t = 0.8 seconds
The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.
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Solve for g.
19 = 3g + 4
g =
Answer:
ANS is g=5
step 1: 3g=19-4
step2: or,3g=15
step 3: or,g=15%3
step 4: or,g=5
Hope it helps.
Can you give me BRAINLIEST ANSWER
THANK YOU
[tex]\bf 2x-4=10[/tex]
Answer:
x = 7
Step-by-step explanation:
Add 4 on both sides to get 2x = 14, then divide 2 on both sides to get x = 7.
Hope this helps :)
Given f(x)=5x-3, find f(-3)
Answer:
[tex]f(-3)=-18[/tex]
Step-by-step explanation:
Since
[tex]f(x)=5x-3[/tex], we can plug in our values
[tex]f(-3)=-15-3[/tex]
Combine like terms
[tex]f(-3)=-18[/tex]
PLS SOLVE I WILL GIVE BRAINLIST
Answer:
first one, u can't ride a decimal of a ride
Step-by-step explanation:
y = 7.50 + 2.50x
explain the difference between an indefinite integral and a definite integral.
Answer:
A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).
Step-by-step explanation:
This does not contradict rolle's theorem, since f '(0) does not exist, and so f is not differentiable on (−1, 1).
Answer:?
Step-by-step explanation:?
kevin sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $4.60. How much will she earn from selling 5 large necklaces and 6 small necklace?
Answer:
$56.10
Step-by-step explanation:
The first step is to multiply the values.
28.50 for large.
27.60 for small.
Add them together.
You get 56.10.
Answer/Step-by-step explanation:
Given:
$5.70= Large necklace
$4.60 = Small necklace
To Find:
How much will Kevin earn from selling 5 large necklaces and 6 small necklace?
Solution:
To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...
Multiply 5.70 by 5 and 4.60 by 6.
5.70 x 5 = 28.5
4.60 x 6 = 27.6
Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.
To Find all Kevin earn add both together = 56.10
Therefore Kevin earn $56.10 altogether.
hey, can someone please double check these questions for me / or help me solve them if they are incorrect? thank you U-U
Question 11
The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.
For vertically opening parabolas, we use this form
4p(y-k) = (x-h)^2
where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).
Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.
Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y
4p(y-k) = (x-h)^2
4*4(y-0) = (x-0)^2
16y = x^2
y = (1/16)x^2
The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.
Answer: Choice D. y = -(1/16)x^2===============================================
Question 3
The given equation is in the form y = ax^2+bx+c
In this case,
a = 2b = 4c = 3Let's compute the x coordinate of the vertex h
h = -b/(2a)
h = -4/(2*2)
h = -1
This h value is plugged into the original function to find k
f(x) = 2x^2+4x+3
f(-1) = 2(-1)^2+4(-1)+3
f(-1) = 1
We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.
Answer: Choice B. (-1,1)expand and simplify
(x +3)(x+5)
Answer:
x² + 8x + 15
Step-by-step explanation:
(x +3)(x+5)
=> x² + 5x + 3x + 15
=> x² + 8x + 15
So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.
help please nfvribwibfvwbifvibbiurw
Answer: A, D, E
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
hi
Step-by-step explanation:
Joshua needs to join the text in two cells together. which of the following would perform this function?
a. ="good" "morning"
b. ="good"&"morning"
c. =good "&" morning
d. ="good"&&"morning"
Simplify x+2x –8+3x+1 –2x.
Answer:
4x - 7
Step-by-step explanation:
x + 2x + 3x - 2x = 4x
-8 + 1 = -7
The simplified expression is 4x -7.
What is Expression?A fine operation similar as deduction, addition, addition, or division is used to combine terms into an expression. In a fine expression, the following terms are used.
An absolute numerical number is appertained to as a constant.Variable- A symbol without a set value is appertained to as a variable. Term: A term can be made up of a single constant, a single variable, or a blend of variables and constants multiplied or divided.Coefficient In an expression, a measure is a number that's multiplied by a variable.Given:
Expression: x+2x –8+3x+1 –2x
Now, simplifying the expression by taking like terms along.
x+2x –8+3x+1 –2x
= x+ 2x - 2x + 3x - 8 + 1
= x(1 + 2 - 2 + 3) -7
= x( 4) -7
= 4x -7
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