Answer:
2,-11
Step-by-step explanation:
create an x/y table and plug in #s for ordered pairs
-6x + 1 = y [plug in 2 for x]
-12 + 1 = -11 [ordered pair is 2, -11]
Answer:
Both (-2, 13) and (-1, 7)
Step-by-step explanation:
Got it from Khan
BRAINLEST to whoever answer correctly FIRST
These triangles
are congruent by
the triangle
congruence
postulate [ ? ].
A plane is flying at a heading of 125° at a speed of 320 mph. The wind is blowing from due North at a speed of 35 mph. Find the ground speed and the course of the plane. (Note: The course must be between 0° and 360°, where due North corresponds to a course of 0°, due East to a course of 90°, due South to a course of 180°, and due West to a course of 270°.)
Answer:
[tex]301.29\ \text{mph}[/tex]
[tex]119.5^{\circ}[/tex]
Step-by-step explanation:
[tex]v_p[/tex] = Velocity of plane = 320 mph
[tex]v_w[/tex] = Velocity of wind = 35 mph
[tex]\theta[/tex] = Angle between wind and plane directions = [tex]125^{\circ}[/tex]
From triangle law we have resultant
[tex]v_r=\sqrt{v_p^2+v_w^2+2v_pv_w\cos\theta}\\\Rightarrow v_r=\sqrt{320^2+35^2+2\times 320\times 35\cos125^{\circ}}\\\Rightarrow v_r=301.29\ \text{mph}[/tex]
Direction is given by
[tex]\phi=\tan^{-1}\dfrac{v_p\sin\theta}{v_w+v_p\cos\theta}\\\Rightarrow \phi=\tan^{-1}\dfrac{320\sin125^{\circ}}{35+320\cos125^{\circ}}\\\Rightarrow \phi=-60.46^{\circ}=180-60.46=119.5^{\circ}[/tex]
The magnitude of the plane is [tex]301.29\ \text{mph}[/tex] moving at an angle of [tex]119.5^{\circ}[/tex].
2. Use the total time traveled column to write an equation.
3. Solve the equation for x. Show work, please.
4. What was the speed of the wind
Answer:
6 mphStep-by-step explanation:
Refer to attached table for inputs
Below equation is for total time traveled (middle column of table). Solving for x:
20/(14 + x) + 20/(14 - x) = 3.520(14 - x) + 20(14 + x) = 3.5(14 + x)(14 - x)20*2*14 = 3.5(14² - x²)160 = 196 - x²x² = 36x = √36x = 6Speed of wind is 6 miles per hour
Chapter 1:Qua
END-OF-CHAPTER REVIEW EXERCISE 1
1
A curve has equation y = 2xy + 5 and a line has equation 2x + 5y = 1.
The curve and the line intersect at the points A and B. Find the coordinates of the midpoint
of the line AB
Answer:
(¹/₂, 0)Step-by-step explanation:
2x + 5y = 1 ⇒ 2x = 1 - 5y
y = 2xy + 5
y = (1 - 5y)y + 5
y = y - 5y² + 5
5y² = 5
y² = 1
y₁ = 1 ∨ y₂ = -1
2x₁ = 1 -5(1) 2x₂ = 1 - 5(-1)
2x₁ = 1 - 5 2x₂ = 1 + 5
2x₁ = -4 2x₂ = 6
x₁ = -2 x₂ = 3
Midpoint:
[tex]M=\left(\frac{x_1+x_2}2\ ,\ \frac{y_1+y_2}2\right)=\left(\frac{-2+3}2\ ,\ \frac{1+(-1)}2\right)=\left(\frac12\ ,\ 0\right)[/tex]
The coordinates of the midpoint of the line AB is (0, 1/2).
The equation of the curve is given by y = 2xy + 5.
The equation of the line is given by 2x + 5y = 1.
We have to first find the point of intersection between the curve and the line and then find the coordinates of the midpoint of line AB where A and B is the point of intersection between the curve and the line.
What is the formula for finding the coordinates of a point that divides a given line in the ratio m:n?If C(x, y) divides a line AB in m:n then we have,
[tex]x = \frac{mx_2 +nx_1}{m+n},~~~y =\frac{my_2+ny_1}{m+n}[/tex]
And if C(x,y) is the midpoint then m = n.
we have,
[tex]x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}[/tex]
Where x and y are the coordinates of the midpoint o the line AB.
Find the point of intersection between the line and the curve.
y = 2xy + 5............(1)
2x + 5y = 1..............(2)
From (2) we have,
2x = 1 - 5yx = (1-5y) / 2..........(3)
Substituting (3) in (1).
[tex]y =2\frac{(1-5y)}{2}y + 5\\\\y =\frac{2y-10y^2}{2} + 5\\\\2y = 2y - 10y^2 + 10\\\\10y^2 = 10\\\\y^2 = 1[/tex]
So we have,
y = 1 and y = -1
Puttin y = 1 in (3) we get,
x = (1 - 5) / 2 = - 4 / 2 = -2
Puttin y = -1 in (3) we get,
x = {1-5(-1)} / 2 = (1+5) / 2 = 6 / 2 = 3
Now we have two points of intersection A( 1, -2 ) and B( -1, 3 ).
Finding the coordinates of the midpoint of the line AB.
we have,
[tex]A(1, -2) = A (x_1, y_1)~~and~~B(-1, 3) = B(x_2, y_2)[/tex]
Substituting in the given equation.
[tex]x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}\\\\x = \frac{-1 +1}{2},~~~y =\frac{3+(-2)}{2}\\\\x = 0,~~~y=\frac{1}{2}[/tex]
So the coordinates of the midpoint is (x,y) = ( 0, 1/2 ).
Learn more about the midpoint of a given line here:
https://brainly.com/question/24493570
#SPJ2
how do l convert 320 pounds into tons
Answer:
0.16 tons
Step-by-step explanation:
Helppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
-5, -2, 1, 3.
Step-by-step explanation:
This is how you would put them in order from least to greatest.
Answer:
-5,-2,1,3
Step-by-step explanation:
Hope it helps
HELP ME PLEASE!!!!!!
(2x+3)^5 expanded using binomial theorem
Answer:
[tex]32 {x}^{5} + 240 {x}^{4} + 720 {x}^{3} + 1080 {x}^{2} + 810x + 243[/tex]
A convex polyhedron has 24 edges and 16 vertices. How many faces does it have?
Euler's formula: V + F= E + 2
6
10
26
38
Answer:
10
Step-by-step explanation:
Using Euler's formula for polyhedra
F + V - E = 2
Here V = 16 and E = 24, thus
F + 16 - 24 = 2, that is
F - 8 = 2 ( add 8 to both sides )
F = 10
Answer:
b
Step-by-step explanation:
on edge 2021
A recipe uses 5 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made from three quarts?
Answer: 24 servings
Step-by-step explanation:
First and foremost, we should note that:
4 cups = 1 quart
Therefore, 3 quarts = 3 × 4 cups = 12 cups
Since she uses 5 cups of milk to make 10 servings, it means that 1 cup of milk is used to make 2 servings. Therefore, 12 cups would be used to make:
= 12 × 2
= 24 servings.
How do I graph quadratics in vertex form?
Answer:
Step-by-step explanation:
Equation of the quadratic function given as,
g(x) = [tex]\frac{1}{3}(x-6)^2+1[/tex]
Since, leading coefficient of the function is positive,
Parabola will open upwards.
For x- intercepts,
g(x) = 0
[tex]\frac{1}{3}(x-6)^2+1=0[/tex]
(x - 6)² = -3
(x - 6) = ±√(-3)
x = 6 ± √(-3)
Since, x is an imaginary number, this function has no x-intercepts.
Similarly, for y-intercept,
x = 0
g(0) = [tex]\frac{1}{3}(0-6)^2+1[/tex]
= 12 + 1
= 13
y-intercept of the function → y = 13
Vertex of the parabola → (6, 1)
For x = 12,
g(12) = [tex]\frac{1}{3}(12-6)^2+1[/tex]
= 13
Therefore, one point lying on the graph will be (12, 13).
Now we can graph the quadratic function given in the question.
what is the answer to 6x+6-3(x-2)=x+4
need step by step explanation
Answer:x = -4
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x+6-3*(x-2)-(x+4)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
((6x + 6) - 3 • (x - 2)) - (x + 4) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x + 8 = 2 • (x + 4)
Equation at the end of step
3
:
2 • (x + 4) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Use the arc length formula and the given information to find r. s = 12 cm, 0 = 360; r = ?
I am about to cry pls help me
Answer:
128 and can I get brainliest
Step-by-step explanation:
180-95 = 85
85 plus 43 = 128
180 - 128 = 52
180-52 = 128
Answer:
y=128
Step-by-step explanation:
The exterior pleus interior angle makes a 180 degree
so 180-95=85
now the interior angles of a triangle add up to 180
so the in triangle
get 43+85+?=180
180-85-43=52
nowing this we need to find the exterior angle unlike the first we are given the interior not the exterior but same process goes
180-52=128
y=128
The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the ochard produce in one year
I need help is it a, b, c, or d
What is the expansion of (a + b)4?
o A. a4 + a3b + a2b2 + ab3 + 64
B. a4 + 4a3b + 6a2b2 + 4ab3 + b4
C. a4 + 2a²b + 3a2b2 + 2ab3 + b4
D. a4 + 4a3b - 6a2b2 + 4ab3 – 64
Answer:
option B
Step-by-step explanation:
[tex](a+b)^4\\\\=(a+b)^2(a+b)^2\\\\=(a^2+2ab+b^2)(a^2+2ab+b^2)\\\\=a^2(a^2+2ab+b^2)\\\\+2ab(a^2+2ab+b^2)\\\\+b^2(a^2+2ab+b^2)\\\\=a^4+2a^3b+a^2b^2\\\\+2a^3b+4a^2b^2+2ab^3\\\\+a^2b^2+2ab^3+b^4\\\\=a^4+4a^3b+6a^2b^2+4ab^3+b^4[/tex]
Margo spent $5.00 of the $8.00 in her wallet. Which decimal represents the fraction of the $8.00 Margo spent?
Answer:
is it 3.00
Step-by-step explanation:
Answer:
0.625.
Step-by-step explanation:
To find the decimal of what Margo spent we have to divide the part ($5.00) by the whole ($8.00). Like this:
(5)/(8) = 0.625
Therefore, the decimal that represents the fraction is 0.625.
I hope this helps!!
- Kay :)
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
0.96% or 1% to the nearest whole ( use the whole as for your answer )
Step-by-step explanation:
825-817 = 8
8 / 825 = 0.00969696....
x 100 = 0.96%
I've been working on the same 5 questions for 3 hours and i give up im doing anything i can at this point
Step-by-step explanation:
[tex]v = \pi \times r {}^{2} \times h \div 3 \\ = \pi \times 2 {}^{2} \times 10 \div 3 \\ = 41.8[/tex]
Answer:
Given that V=πr^2h/3
Where V is unknown
π=3
d=4; r=4/2=2
h=10
Substitute the values
V=3×2×2×10 ÷ 3
V= 120÷3
V= 40
Please help.
Click on the picture for better view!
Answer:
D. (-3;-3)
Step-by-step explanation:
2x-3y<9
A. 2×6-3×(-4)=24 FALSE, because 24>9
B. 2×(-1)-3×(-9)=25 FALSE, because 25>9
C. 2×2-3×(-5)=11 FALSE, because 11>9
D. 2×(-3)-3×(-3)=9 TRUE, because 3<9
Scale Factor : ____?____
Algebraic Representation : ______?______
Answer asap please !
Answer: Scale Factor = 1/4
Step-by-step explanation:
The base of triangle X has a length of 12, and the base of triangle x' has a length of 3. Therefore, the scale factor is 1/4, because 12 x 1/4 = 3.
a) write √3 × √6 in the form b√2 where b is an integer
Answer: 3√2
√3 . √6 = √(3.6) = √(9.2) = √(3².2) = 3√2
Step-by-step explanation:
Answer:
b = 3
Step-by-step explanation:
[tex] \sqrt{6} [/tex]can be written as [tex] \sqrt{3} \times \sqrt{2} [/tex]
So, lets arrange it.
[tex] \sqrt{3} \times \sqrt{6} = \sqrt{3} \times \sqrt{3} \times \sqrt{2} = 3 \sqrt{2} [/tex]
Hence b = 3.
Please solve in the image
Answer:
[tex]4[/tex]
Step-by-step explanation:
The line passes through points [tex](2,0)\,,\,(0,2)[/tex]
Let [tex](x_1,y_1)=(2,0)\,,\,(x_2,y_2)=(0,2)[/tex]
Equation of a line passing through points [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] is given by [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-0=\frac{2-0}{0-2}(x-2)\\y=\frac{2}{-2}(x-2)\\y=-1(x-2)\\y=-x+2[/tex]
So,
[tex]f(x)=y=-x+2[/tex]
Put [tex]x=-2[/tex]
[tex]f(-2)=-(-2)+2=2+2=4[/tex]
Which expression is the best estimate of One-fourth times 31.3?
One-fourth times 24
One-fourth times 28
One-fourth times 32
One-fourth times 36
Answer:
One-fourth times 32
Step-by-step explanation:
Yes, I know...31.3 rounded is 31, not 32. But it's closer than any other number.
PLS HELP DUE AT 12:00!
pls explain too
I need help: number 19
Answer:
y=x+2
Step-by-step explanation:
the standard form is y=mx+b where m is the slope and b is the y intercept
TO FIND THE SLOPE: we take the x and y intercepts as a fraction. in this case the line touches the y axis (vertical) at point/value 2 and the x axis at point 2 as well. This means the slope is 2/2x which can be simplified to 1x or just x.
TO FIND THE Y INTERCEPT: we find where the line touches the y axis at point 2.
the slope is plugged into the m of the equation and the y intercept is plugged into the b of the equation.
please help me out! determine the range of the following graph
Answer:
[-9,-4]
Step-by-step explanation:
The highest and lowest points this graph gets to on the y axis are -4 and -9 respectively.
This means the range is [-9,-4].
Brackets are used since -9 and -4 are seemingly included.
solve for x under the assumption that x<0. Enter your answer in interval notation using grouping symbols
Step-by-step explanation:
x² + 9x < -20
x² + 9x + 20 < 0
(x + 4)(x + 5) < 0
Therefore -5 < x < -4 / (-5,-4)
The two triangles shown have the same perimeters. What is the perimeter of each triangle
Answer:
28 units
Step-by-step explanation:
Since the perimeter of both triangles is same,
the sum of all sides of first triangle = sum of all sides of second triangle
or, 6x + 3 + 2x + 4x = 5x + 5x + 3x + 2
or, 12x + 4 = 13x + 2
or, 4-2 = 13x - 12x
or, 2 = x
Now,
Putting the value of x in the perimeter of first triangle,
12x + 4= 12* 2+ 4
= 28 units