Answer:
P=70ft
Step-by-step explanation:
25^2-15^2=400
Sqrt400=20
2l+2w=P
40+30=70
Find the point Q along the directed line segement from point R (-3, 3) to point S(6, -3) that divides the segment in the ratio 2:1.
A. (3, 0)
B. (6, -4)
C. (0, 1)
D. (3, -1)
Answer: (3,-1)
Step-by-step explanation:
distance between R & S x values: 9
distance between R & S y values: -6
multiply each by 2/3 (the proportion)
9/1 x 2/3 = 6; -6/1 x 2/3= -4
add the answers to R x & y values:
-3 + 6= 3; 3 - 4= -1
Answer:
D
Step-by-step explanation:
using the section formula
(x₁, y₁ ) and (x₂, y₂ ) divided in the ratio m : n , then
point = ([tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] )
thus for R (- 3, 3 ) and S (6, - 3 ) in the ratio 2 : 1
Q = ( [tex]\frac{2(6)+1(-3)}{2+1}[/tex] , [tex]\frac{2(-3)+1(3)}{2+1}[/tex] )
= ( [tex]\frac{12-3}{3}[/tex] , [tex]\frac{-6+3}{3}[/tex] )
= ( [tex]\frac{9}{3}[/tex] , [tex]\frac{-3}{3}[/tex] )
= (3, - 1 )
Solve for x ~
[tex] \sf \rightarrow2x + 5x = 14[/tex]
provide explanation
Solution: x=2 ✅
[tex]\searrow[/tex]
⚜Detailed explanation: ⚜
In this problem we need to solve for x, the unknown.
First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?
[tex]---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}[/tex]
We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.
[tex]---\mapsto\boldsymbol{x=2}[/tex] is what we obtain upon dividing
Superb, it's ez as winking!
_________________________________________
Voila! There's our solution!
Cheers!! ^-^Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
____________________________________________
$Need help with this pls (quickest answer gets brainliest)
Answer:
-1/2
Step-by-step explanation:
IK
Rearrange the equation 4-4x-2y=0 into the form of y=mx+c
Answer:
y = -2x+2
Step-by-step explanation:
4-4x-2y=0
4-4x = 2y
2y = 4-4x
y = (4-4x)/2
y = 4/2-4x/2
y = 2 -2x
y = -2x+2
PLEASE HELP!
Find the degree measure of each numbered angle.
Answer:
1=76°
2=76°
3=36°
Step-by-step explanation:
To find 1, add the other angles in the triangle and subtract by 180.
85+19=104
180-104=76.
1 is equal to 2 so 2=76
To find 3, add 76 and 68, then subtract by 180.
76+68=144
180+144=36
3=36
Hope this helps!
If not, I am sorry.
Answer:
m∠1 = 76°
m∠2 = 76°
m∠3 = 36°
Step-by-step explanation:
The interior angles in a triangle sum to 180°
⇒ m∠1 + 85° + 19° = 180°
⇒ m∠1 + 104° = 180°
⇒ m∠1 + 104° - 104° = 180° - 104°
⇒ m∠1 = 76°
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.
⇒ m∠2 = m∠1
⇒ m∠2 = 76°
The interior angles in a triangle sum to 180°
⇒ m∠2 + m∠3 + 68° = 180°
⇒ 76° + m∠3 + 68° = 180°
⇒ m∠3 + 144° = 180°
⇒ m∠3 + 144° - 144°= 180° - 144°
⇒ m∠3 = 36°
NOTE: I DO NOT NEED A LONG ANSWER
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer:
Scale factor is 3
If $a$ and $b$ are positive integers for which $ab - 6a + 5b = 373$, what is the minimal possible value of $|a - b|$?
Answer:
31
Step-by-step explanation:
We can solve the given equation for 'b', then find the integer values of 'a' that make 'b' a positive integer. There are 3 such values. One of these minimizes the objective function.
__
solve for bab +5b = 373 +6a . . . . . . isolate b terms by adding 6a
b = (6a +373)/(a +5) . . . . . divide by the coefficient of b
b = 6 +343/(a +5) . . . . . . . find quotient and remainder
integer solutionsThe value of 'b' will only be an integer when (a+5) is a factor of 343. The divisors of 343 = 7³ are {1, 7, 49, 343}. so these are the possible values of a+5. Since a > 0, we must eliminate a+5=1. That leaves ...
a = {7, 49, 343} -5 = {2, 44, 338}.
Possible values of b are ...
b = 6 +343/{7, 49, 343} = 6 +{49, 7, 1} = {55, 13, 7}
Then possible (a, b) pairs are ...
(a, b) = {(2, 55), (44, 13), (338, 7)}
objective functionThe values of the objective function for these pairs are ...
|a -b| = |2 -55| = 53
|a -b| = |44 -13| = 31 . . . . . the minimum value of the objective function
|a -b| = |338 -7| = 331
8) Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.
Answer:
16.6
Step-by-step explanation:
Add the numbers together.
13.2+20=33.2
Now divide the number by 2.
33.2/2=16.6
Hope this helps!
If not, I am sorry.
what is 500 - 250 + 5/30 % by 121 + π × f if f = 256 pls help
Answer:
I am not sure but 31054.449
Step-by-step explanation:
Answer:
0.27037
Step-by-step explanation:
numerator is 250.16667
denominator is 925.2477
answer is 0.27037
2. Estimate the square root to the nearest integer. 5 4 6 7
ggggggggggggggggggggggg
square root of 342354456
Answer:
18502.8229198
Answer:
18502.82292
Step-by-step explanation:
calculator
X Y
-2 6
0 3.5
2 1
4 -1.5
Which equations represent the data in the table?
Check all that apply.
y-6= =5 (x+2)
y-2=-(x-1)
y + 2 = S(x-6)
y-1=-(x-2)
y-3.5 = -1.25.x
Using the point-slope equation, the equations that represent the data are:
y - 6 = -1.25(x + 2)
y -3.5 = -1.25x
What is the Point-Slope Equation?Given a point (a, b) and slope (m), the point-slope equation is expressed as, y - b = m(x - a).
Find the slope (m) using two pairs from the table of values say, (-2, 6) and (2, 1):
Slope (m) = change in y / change in x = (6 - 1)/(-2 - 2) = 5/-4 = -1.25
Using the point, (a, b) = (-2, 6) and m = -1.25, plug the values into y - b = m(x - a):
y - 6 = -1.25(x - (-2))
y - 6 = -1.25(x + 2)
This cam be rewritten as:
y - 6 = -1.25x - 2.5
y - 6 + 2.5 = -1.25x
y -3.5 = -1.25x
The equations that represent the data in the table are:
y - 6 = -1.25(x + 2)
y -3.5 = -1.25x
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A line passes through the points (6, 8) and (5, 5). What is its equation in slope-intercept form?
Answer:
b6,4
Step-by-step explanation:
becust tehf sdj
the map is drawn to the scale of 1:4000 and the distance in between two places on the map is 4 cm what is the actual distance between those two places
Answer:
4 × 4000 = 16000cm or 160 meters
What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?
Answer:
x^4 - 3x^2 - 4.
Step-by-step explanation:
Imaginary roots occur as conjugate pairs so a 4th roots is -i.
So in factor form we have:
f(x) = (x - 2)(x + 2)(x - i)x + i)
= (x^2 + 1)(x - 2)(x + 2)
= (x^2 + 1)(x^2 - 4)
= x^4 - 3x^2 - 4.
Answer:b.f(x) = x^4 – 3x^2 – 4
Step-by-step explanation:
Simplify (3 + √5 )(2 + √5)
need the answer ASAP, WILL GIVE BRAINLIEST
Answer:
11 + 5√5
Step-by-step explanation:
6 + 3√5 +2√5 + 5
11 + 5√5
root n * root n = n , which is why there is a 5 at the end
Answer:
the answer is 11+5√5
Step-by-step explanation:
B/c (a+b).(c+d)=ac+ad+bc+bad(3+√5)(2+√5)=3.2+3.√5+√5.2+√5√5=6+3√5+2√5+√5√5=6+3√5+2√5+5=11+3√52√5=11+5√5Which linear inequality is represented by the graph?
Step-by-step explanation:
5 because you have to round
Answer:
5
Step-by-step explanation:
because you have to round
Source: trust me bro
PLEASE HELP ASAP
(Picture shown)
Answer:
-2x+3
Step-by-step explanation:
Gradient is change in y over change in x
[tex] \frac{2}{1} [/tex]
=2
and then
+3 because that's where it cuts the Y axis
Solve the following system of equations. Show all work and solutions.
y = 2x2 + 6x + 4
y = −4x2 + 4
Nadine had 20 minutes to do a three-problem quiz. She spent 10 7/10 minutes on question A and 6 2/5 minutes on question B. How much time did she have left for question C?
-7mn (4m³n² + m²)
Multiply
[tex] - 7mn(4 {m}^{3} {n}^{2} + {m}^{2} ) \\ - 28 {m}^{4} {n}^{3} - 7 {m}^{3} n[/tex]
PLEASE GIVE BRAINLIEST
DRAW AND WRITE SHORT NOTES ON THE FOLLOWING Properties of the various types 1 Triangle: (Equilateral, Isoceles, Right - angled, Scalene
2. Quadrilaterals. (square, rectangle, Rhombus, parallelograph trapezium, kite
ASAP PLEASE FIRST AND CORRECT WILL GRT BRAINLIEST ANSWER
Answer:
Triangles:
- Equilateral: Has three equal sides
- Isosceles: Has two equal sides
- Right angled: One angle of a right angle triangle measures 90 degrees
- Scalene: All sides are different lengths
Quadrilaterals:
- Square: Has four right angles and four equal sides
- Rectangle: Has four right angles and opposite sides are equal
- Rhombus: A parallelogram with four equal sides
- Parallelogram: Opposite sides are equal and parallel
- Trapezium: At least one set of sides are parallel
- Kite: Two pairs of adjacent sides are the same length
Which form of controls are effective in eliminating, reducing, or minimizing hazards, which eventually help in reducing or even eliminating the need for ppe?.
The form of controls that are effective in eliminating, reducing, or minimizing hazards is called; Engineering controls
What are engineering controls?Engineering controls are defined as strategies that are designed to protect workers from hazardous conditions by placing a barrier between the worker and the hazard or by removing a hazardous substance through air ventilation.
Now, the reason why this is effective in eliminating, reducing, or minimizing hazards is because they are designed to remove the hazard at the source, before it comes in contact with the worker.
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what is the x intercept of the function
Step-by-step explanation:
0 = sqrt(x - 4) + 3 Set equation equal to 0
-3 = sqrt(x - 4). Subtract 3 from both sides
the principle square root will only output positive values, since if it every outputted a negative value it would not be a function since a function cannot have 2 outputs for the same input.
no x-intercept
Points Z, L, and S are:
Points Z, L, and S are collinear points
How to determine the relationship?When 2 or more points are on a line, the points are said to be collinear.
From the figure, we have:
Points Z, L and S on the same line
This means that they are collinear points
Hence, points Z, L, and S are collinear points
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Define the face value. Choose the correct answer below.
A. The simple interest rate that the issuer promises to pay.
B. The status of the secondary bond market.
C. The date on which the issuer promises to repay the money.
D. The price that must be paid to the issuer to buy it at the time it is issued.
Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.
What is face value?If the bond issuer doesn't default, face value, also known as par value, is the sum that is paid to a bondholder at the bond's maturity date. Bonds offered on the secondary market do, however, change in response to interest rates.
Therefore Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.
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which exponential function has an initial value of 2?
Answer:
The function [tex]2(3^x)[/tex] has an initial value of [tex]2[/tex].
Step-by-step explanation:
An exponential function is a mathematical function of the following form: [tex]f(x)=a^x[/tex]where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828. The exponential value can be found by solving the expression to proceed with a solution.
At the initial value, the exponential function is in the [tex]y[/tex] direction and [tex]x[/tex] is [tex]0[/tex] .
[tex]f(x)=2(3^x)\\f(x)=2(3^0)\\f(x)=2[/tex]
Therefore, the function that has an initial value of [tex]2[/tex] is [tex]2(3^x)[/tex].
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[tex]\frac{16x^{2} y^5}{(-4x^-6)( y^8)}[/tex]
simplify
A man walks 4km from point x due east of point Y. The bearing of a flag point x and y are due N80°W and N40°E respectively. Find the distance of the flag pole from point y
The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Sine rule shows the relationship between the sides and angles of a triangle.
The triangle formed has angles A = 10°, B = 50°, C = 120°, c = 4 km, a = distance from point y.
Hence:
a / sinA = c / sinC
a / sin(10) = 4 / sin(120)
a = 0.8 km
The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E
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What is the sum of the polynomials?
(6x+7+x²)+(2x²-3)
1. -x² +6x+4
2. 3x²+6x+4
3. 9x + 4
4. gx²+4
Answer:
6x+4+3x²Step-by-step explanation:
Given polynomials:
(6x+7+x²)+(2x²-3)
Solution:
(6x+7+x²)+(2x²-3)Removing brackets,
6x+7+x²+2x²-3Collecting like terms,
6x+7-3+x²+2x²Simplifying ,
6x+4+3x²Done!
Hence option 3 is correct.
What is quadratic equation?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form: ax² + bx + c = 0.
The given expression is;
(6x+7+x²)+(2x²-3)
Now add the like term in the given expression,
⇒ x² + 2x² + 6x + 7 - 3
⇒ 3x² + 6x + 4
Hence,
The sum of polynomial is 3x² + 6x + 4.
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