Answer:
[tex](\frac{17}{18}, \frac{23}{6})[/tex]
Step-by-step explanation:
D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]
D2 = [tex]\sqrt{x^2 + y^2}[/tex]
Then set D1 = D2, and substitute in y = 3x+1
[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]
[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]
[tex]18x = 17[/tex]
x = 17/18
Then to find y, substitute back in x for y = 3x + 1
[tex]y = \frac{17}{18} * 3 + 1[/tex]
y = 23/6
The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
Here,
The equation of straight line is y = 3x + 1
And, it is equidistant from the origin and (-3, 4)
We have to find the coordinates of the point on the straight line.
What is the distance between the two points?
The length of the line segment that connects the two given points, is called distance between two points.
Now,
Let the point (x, y) on the line y = 3x + 1.
Distance between the points (x, y) and (0, 0) is;
[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]
[tex]D = \sqrt{x^{2} +y^{2} }[/tex]
And, Distance between the points (x, y) and (-3, 4) is;
[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]
[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]
Equating both distance we get;
[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]
And, To find y put the value of x in y = 3x + 1, we get;
[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]
Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
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solve for a.
-6a = -18
Answer:
A=3
Step-by-step explanation:
Step 1: Divide both sides by -6/
-6a/-6= -18/-6
a=3
fd - m = 8
Solve for d
Please help!
Answer:
[tex]d=\frac{8+m}{f}[/tex]
Step-by-step explanation:
[tex]fd-m=8[/tex]
Add m to both sides:
[tex]fd-m+m=8+m[/tex]
[tex]fd=8+m[/tex]
Divide both sides by f:
[tex]\frac{fd}{f}=\frac{8+m}{f}[/tex]
[tex]d=\frac{8+m}{f}[/tex]
What is 442500 represented in scientific notation?
Answer:
4.425*10⁵
Step-by-step explanation:
442500 = 4.425 * 10 ⁵
!!!! I NEED HELP RIGHT NOW ITS DUE IM 5 MINUTES !!!!
Answer:
Step-by-step explanation:
A = h(a+b)/2 for h
2A = h(a + b)
h(a+b) = 2A
h = 2A/(a+b)
8cm 10cm 10cm 12cm 34cm what’s the volume
If 2* = 32
find the value of x.
Answer:
2^x = 2*2*2*2*2
2^X = 2^5
x=5
Step-by-step explanation:
If f(x) = 5x – 2 and g(x) = 2x+1, find (f+ g)(x).
A. 4x - 3
B. 3x - 1
O c. 7x-3
O D. 7x-1
SUD
Answer: 3x-3 apex
Step-by-step explanation:
a -42+(-17)
b 8-(-9)
c 8(-9)
D
E
F
G
Answer:
.A -42+(-17)
Step-by-step explanation:
pls help i need help 20 points
Answer:
[tex]63 \ cm^2[/tex]
Step-by-step explanation:
The area of a triangle is found using the following formula:
[tex]A = \frac{base * height}{2}[/tex]
The base of our triangle is 21 cm.
The height of our triangle is 6 cm.
[tex]A= \frac{6*21}{2} =3 * 21 = 63[/tex]
Our distance unit is cm, so our area will be in cm squared.
Answer: [tex]63 \ cm^2[/tex]
Answer:
63
Step-by-step explanation:
21 times 6, then divide by 2.
I will give brainliest!!!! Which expressions are equivalent to j+j+2k? Choose all answers that apply: (Choice A) A 2jk (Choice B) B 2(j+j+k) (Choice C) C None of the above
Answer:
The Answer Is C
Answer:
CHOICE C.Step-by-step explanation:
They are not like terms, so they can't be added up.
i'm over this please
Answer:my answer is oooof
Step-by-step explanation:
x=127
since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127
(-12) +7
what’s the answer
A.-11
B.-17
C.4
D.-5
E.8
Answer:
D) -5
Step-by-step explanation:
When two numbers have different sign, subtract and the answer will have the sign of the bigger number.
Here the sign of bigger number is negative. So, (-5)
y is directly proportional to x when y=30, x=6
a) work out an equation connecting y and x
b) work out the value y when x=12
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
Since, y is directly proportional to x when y=30, x=6
[tex] \therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}[/tex]
Which number has a 3 that is 10 times greater than the 3 in 513?
Answer:
30
Step-by-step explanation:
The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30.
3 x 10 = 30.
"times greater" means multiplication if you were confused about it.
Hope this helps! Have a nice day!
Place values are used to represent the value of digits in a given number. The number that has a 3 that is 10 times greater is 30.
Given that:
[tex]Number = 513[/tex]
We make the following observations in 513
513 does not have decimalsThe 3 in 513 is the rightmost digit.The rightmost digit in a non-decimal number is the unit digit. So, the value of 3 in 513 is:
[tex]Value = 3 \times unit[/tex]
Unit means 1. So:
[tex]Value = 3 \times 1[/tex]
[tex]Value = 3[/tex]
So, the value of 3 in 513 is 3.
Let the other number be x.
x is 10 times greater than 3 means that:
[tex]x = 10 \times 3[/tex]
[tex]x = 30[/tex]
Hence, the number is 30
Read more about place values at:
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When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the plzza 8 of these slices would be in decimal form.
Answer:
the answer is 0.5, or about 50%
Step-by-step explanation:
If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.
Hope this helps
Answer: 0.5
Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza
The size of the largest angle in a triangle is 3 times the size of the smallest angle.
The other angle is 35 more than the smallest angle.
Work out in degrees the size of each angle in the trianlge
You must show your working
Answer:
a = 29
b = 64
c = 87
Step-by-step explanation:
Let the angles be a (smallest), b, and c (largest).
We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.
a + b + c = 180
c = 3a
b = a +35
With some solving and substitution...
a + (a + 35) + c = 180
2a + c = 145
2a + (3a) = 145
5a = 145
a = 29
and therefore,
b = 29 + 35 = 64
c = 3(29) = 87
Answer:
Let smallest angle be :x
So, the largest angle will be:3x
And the other angle will be :x+35
According to angle sum property of triangle,
x+3x+x+35=180
5x+35=180
5x=180-35
5x=145
x=(145/5)
Therefore, x=29
So, the smallest angle =x=29
The largest angle=3x=87
And the other angle=x+35=64
Every line segment has a length ?
Answer:
A line segment has two endpoints. A line has no end point. A line-segment has a definite length. But a line does not have definite length.
Step-by-step explanation:
Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest
radical form
Answer:
32r2, 128 cm ^2
The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
What is a square?A square is a parallelogram, whose all sides are congruent and all angles are right angle.
Given that, a square with diagonal length 16 cm
Let the side of the square be a,
We know that, all sides of a square are congruent,
And, the diagonal divides it into two congruent right triangles,
Therefore, using Pythagoras theorem,
a²+a² = 16²
2a² = 256
a² = 128
a = 8√2
Area = side²
Therefore, area = 128 cm²
perimeter = 4×sides = 32√2 cm
Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
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My answer is B im sure im wrong ;-;
Answer:
12.56
Step-by-step explanation:
find the circumference of the circle : 2πr
C=2(12)(3.14)
C=75.36
the length of the arc is: arc length will be (60/360) one 1/6 of the total circumference.
(60/360)(75.36)= 12.56
Please does anyone know how to do this x
Step-by-step explanation:
Weight before diet: 208 pounds
After diet: 192 pounds
Difference in weight: 16 pounds
(16÷208)*100= 7.7%
Find a general term an for the sequence whose first four terms are given.
2, 4, 8, 16, ...
Answer:
an = 2·2^(n-1)
Step-by-step explanation:
There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.
The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...
4/2 = 2
8/4 = 2
16/8 = 2
These ratios are all the same (they are "common"), so the sequence is geometric.
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Filling in the values for this sequence, we find the general term to be ...
an = 2·2^(n-1)
Fourteen less than the quotient of a number and 5
Answer:
Step-by-step explanation:
14-(a/5)
A package of floor tiles contains 22 one-foot-square tiles. Find how many packages
should be bought to cover a square ballroom floor whose side measures 66 feet Note:
Partial packages cannot be bought
Answer:
Step-by-step explanation:
66 times 66 for area is 4356 then 4356 divided by 22 is 217.8 so 218
Solve |y-2|<10
please
Wouldnt the answer be anything above 12? Because if Y is unknown, and you're taking 2 away from it, and it still has to be greater than 10, then it should be anything above 12. Unless it's saying that the number is greater than 10, and you are just taking away 2 from a number and it doesn't have to be greater than 10.
What value of x makes this equation true?
3(x + 4) = 7x - 18
O x = 5
O x = 4.5
O x = 34.5
0 x = 75.
Answer:
x = 15/2 or x = 7.5
Step-by-step explanation:
Step 1: Write equation
3(x + 4) = 7x - 18
Step 2: Solve for x
Distribute 3: 3x + 12 = 7x - 18
Subtract 3x on both sides: 12 = 4x - 18
Add 18 on both sides: 30 = 4x
Divide both sides by 4: x = 15/2 or x = 7.5
Ben went to the hardware store and bought 7 pieces of rope of equal length. The total length of the ropes was 56 meters. How long was each rope?
Answer:
8 meters
Step-by-step explanation:
56 / 7 = 8
Find two consecutive even integers such that six times the first equals five times the second.
Answer:
4 and 6 are the two consecutive even integers
Step-by-step explanation:
Hi,
Let x represent the smaller of the two consecutive even integers, (x+2) the other
Write as we Read***
6x = 4(x+2)
solve for x
6x = 4x + 8
2x = 8
x = 4
checking our answer
6*4 = 4*6 = 24
Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
How many weeks does it take her to have $250 in her bank account?
O 15 weeks
O 4.6 weeks
O 10 weeks
O 5.4 weeks
Answer:
10 weeks
Step-by-step explanation:
20x+50=250
First subtract 50 from both sides, which gives you 20x=200
then divide 20 from both sides which gives you x=10
Write 5.12 x 10⁵ in standard form.
MATH
10^5 = 100,000
5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000
Answer: 512,000Answer:
10^5 = 100,000
5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000
Answer: 512,000
Step-by-step explanation:
The graph of the function B is shown below. Find B(2).
1
-1
2
Answer: 2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
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