Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6
Answer:
x-intercept: (3, 0)
y-intercept: (0, 2)
Step-by-step explanation:
For a function like:
y = f(x)
The x-intercept is the value of x when y = 0
the y-intercept is the value of y when x = 0
Also remember that an ordered pair is written as (x, y).
In this case we have the equation:
2*x + 3*y = 6
For the x-intercept, we just replace y by zero in the equation, then we get:
2*x + 3*0 = 6
Solving this for x, we get:
2*x = 6
x = 6/2 = 3
Then in this case, the ordered pair for the x-intercept is (3, 0)
For the y-intercept, we just need to replace x by zero in the equation:
2*0 + 3*y = 6
Solving this for y, we get:
3*y = 6
y = 6/3 = 2
Then the ordered pair for the y-intercept is (0, 2)
Need help on this question asap please
Answer:
[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]
Step-by-step explanation:
A proportion is setting two ratios to be equal to each other.
You are given the price of 1 ticket, so you can set up a ratio of price to ticket.
$6.25 to 1 ticket, or [tex] \dfrac{6.25}{1} [/tex]
The other ratio involves the $25 and the unknown number of tickets, t, $25 can buy.
$25 to t tickets, or [tex] \dfrac{25}{t} [/tex]
To write a proportion, set the two ratios equal.
[tex] \dfrac{6.25}{1} = \dfrac{25}{t} [/tex]
This proportion does not appear in the choices.
Take the reciprocal of both sides.
[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]
Which value of a would make the following expression completely factored?
x²-a
A.12
B.36
C.49
D.81
Answer:
The answer is 12.
12 is not a perfect square like the others.
A chemistry examination has 2 sections.
Section A has 80 marks.
Section B has 60 marks.
Alex scores 55% in Section A.
What is the greatest percentage Alex can now get in the whole examination?
Give your answer to 3 significant figures.
Answer:
65%in a whole examination
answer please!! It's due tomorrow
Answer:
15) The length of the line segment DE is 14.908.
16) The measure of the angle W is approximately 31.792°.
17) The length of the ladder is approximately 23.182 feet.
Step-by-step explanation:
15) We present the procedure to determine the length of segment DE:
(i) Determine the length of the line segment DF by trigonometric relations:
[tex]\tan C = \frac{DF}{CF}[/tex] (1)
([tex]C = 61^{\circ}[/tex], [tex]CF = 24[/tex])
[tex]DF = CF\cdot \tan C[/tex]
[tex]DF = 24\cdot \tan 61^{\circ}[/tex]
[tex]DF \approx 43.297[/tex]
(ii) Determine the length of the line segment DE by trigonometric relations:
[tex]\tan F = \frac{DE}{DF}[/tex] (2)
([tex]DF \approx 43.297[/tex], [tex]F = 19^{\circ}[/tex])
[tex]DE = DF\cdot \tan F[/tex]
[tex]DE = 43.297\cdot \tan 19^{\circ}[/tex]
[tex]DE \approx 14.908[/tex]
The length of the line segment DE is 14.908.
16) We present the procedure to determine the measure of the angle W:
(i) Determine the length of the line segment XZ by trigonometric relations:
[tex]\sin Z = \frac{XY}{XZ}[/tex] (3)
([tex]XY = 15[/tex], [tex]Z = 25^{\circ}[/tex])
[tex]XZ = \frac{XY}{\sin Z}[/tex]
[tex]XZ = \frac{15}{\sin 25^{\circ}}[/tex]
[tex]XZ \approx 35.493[/tex]
(ii) Calculate the measure of the angle W by trigonometric relations:
[tex]\tan W = \frac{XZ}{WZ}[/tex] (4)
([tex]XZ \approx 35.493[/tex], [tex]WZ = 22[/tex])
[tex]W \approx \tan^{-1} \left(\frac{22}{35.493}\right)[/tex]
[tex]W \approx 31.792^{\circ}[/tex]
The measure of the angle W is approximately 31.792°.
17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:
[tex]\cos \theta = \frac{x}{l}[/tex] (5)
Where:
[tex]\theta[/tex] - Angle of the ladder above ground, in sexagesimal degrees.
[tex]x[/tex] - Distance between the foot of the ladder and the base of the wall, in feet.
[tex]l[/tex] - Length of the ladder, in feet.
If we know that [tex]x = 6\,ft[/tex] and [tex]\theta = 75^{\circ}[/tex], then the length of the ladder is:
[tex]l = \frac{x}{\cos \theta}[/tex]
[tex]l = \frac{6\,ft}{\cos 75^{\circ}}[/tex]
[tex]l \approx 23.182\,ft[/tex]
The length of the ladder is approximately 23.182 feet.
Set up a proportion and use it to solve for x
Answer:
x = 25
Step-by-step explanation:
hyp/short leg
Compare large triangle to small triangle
x/15 = 15/9
multiply both sides by 15
x = 15/9 * 15
x = 25
You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *
Answer:
1657.14 ft
Step-by-step explanation:
Tan = opposite / adjacent
tan 5 = 145 / adjacent
0.0875 = 145 / adjacent
adjacent = 145 / 0.0875
= 1657.14 ft
D 51° F E 17 m Find the length DE. O 10.7 m O 13.2 m O 13.8 m 0 21.0 m O 21.9 m 0 27.0 m
Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.
Answer:
32.7 degrees
Step-by-step explanation:
This polygon has 11 sides.
The measure of all exterior angles adds up to 360.
Find the measure of a single exterior angle by dividing 360 by the number of sides.
360/11 ≈ 32.7
The measure of a single exterior angle of the given regular polygon is 32.5 degrees
We have given that the diagram of regular polygon shown below
and, we have to find the measure of a single exterior angle.
Therefore we have the given polygon has 11 sides.
What is the meaning of exterior angle?
The angle between a side of a rectilinear diagram and adjacent side extended outward.
The measure of all exterior angles adds up to 360.
We have to find the measure of a single exterior angle by dividing 360 by the number of sides
So we get,[tex]360/11 = 32.7[/tex]
Therefore, the measure of a single exterior angle of the given regular polygon is 32.5 degrees.
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Find the distance between two points (0, 3) and (-1,3).
Answer:
5
Step-by-step explanation: i used a calculator and it said 5.099 but just round it up to 5
Answer:
1
Step-by-step explanation:
even if it is going back-wards, it is still one, think of it as absolute value
also again, if brainly tries to delete this answer, this community really is going down the dump
For the polynomial below, -2 is a zero.
f(x) = x² + 8x + 18x + 12
Express f(x) as a product of linear factors.
need answer asap!
Step-by-step explanation:
=(-2)2+8(-2)+18(-2)+12
=4-16-36+12
=4+52+12
=56+12
=68
OR
=4-16-36+12
= -12-24
= -36
Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did they win in total?
Answer:
40
Step-by-step explanation:
30÷3=10
30+10=40
Hope this helps! :)
Place the indicated product in the proper location on the grid.
(x + 2y)2
Answer:
32
Step-by-step explanation:
d6 plus four nine its wrong "+_)
Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?
Answer:
You didn't provide " the following" from which to choose.
Here are two solutions
y = 2x - 1
y - 1 = 2(x - 1)
The sum of squares of two
numbers is 80 and the square of
difference between the two numbers
is 36. Find the product of two
numbers .
Answer:
the product of the 2 numbers is 22
Step-by-step explanation:
x² + y² = 80
(x - y)² = 36
=>
x - y = 6
or y - x = 6
let's start with the first one x-y=6
x = 6 + y
=>
(6+y)² + y² = 80
y² + 6y +6y + 36 + y² = 80
2y² + 12y + 36 = 80
2y² + 12y - 44 = 0
y² + 6y - 22 = 0
the solution of a quadratic equation
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here we have an squadron in y.
a=1
b=6
c=-22
(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =
= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =
= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)
y1 = -3 + sqrt(31)
y2 = -3 - sqrt(31)
=>
x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)
x2 = 3 - sqrt(31)
control :
(-3 + sqrt(31))² + (3 + sqrt(31))² = 80
9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80
9 + 31 + 9 +31 = 80
18 + 62 = 80
80 = 80 correct
solving now for y-x=6
delivers exactly the same calculations, just with x and y trading places.
so, the resulting 2 number pairs are the same.
the product of the 2 numbers :
(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =
= -9 + 31 = 22
(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =
= 22
so, the product is the same in both cases.
Change the negative exponent to a positive exponent
Answer:
[tex] \frac{1}{ {6}^{8} } [/tex]
Step-by-step explanation:
when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power
Example: 5^-2 = 1/5^2
Need it fastttttt plssss I will give brainly
Answer:
385
Step-by-step explanation:
(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)
=3/4-7/24+14/5
=90/120 - 35/120 + 840/120
=46200/120
=385
Hope this helps!
plz help i beg PLZZZZZZ NO SKIPPP
Answer:
C
8×3=24
so the answer is c
Which of the following is a foci of x^2/16-y^2/4=1
Answer:
x(8;2)
Step-by-step explanation:
i think that
URGENT!!
Choose the steepest line.
y = -2x + 10
y = 5x - 20
y = 10x + 1
y = -12x - 3
Answer:
y=-12x-x
Step-by-step explanation:
y=mx + b
m=slope
m = -12
slope = rise / run -12/1
BASE
-10
109
Which expression is equivalent to X X
-(
WN
?
No
O
WIN
Answer:
[tex]\displaystyle x^{\frac{2}{3}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}[/tex]
Step 2: Simplify
Exponential Rule [Multiplying]: [tex]\displaystyle (x^{\frac{4}{3} + \frac{2}{3}})^{\frac{1}{3}}[/tex][Exponents] Add: [tex]\displaystyle (x^{2})^{\frac{1}{3}}[/tex]Exponential Rule [Powering]: [tex]\displaystyle x^{2 \cdot \frac{1}{3}}[/tex][Exponents] Multiply: [tex]\displaystyle x^{\frac{2}{3}}[/tex]A line goes through the point (6,-2) and has a slope of -3. What is the value of a if the point (a,7) lies on the line? a= ?
m=y2-y1/x2-x1
7-(-2)/a-6=-3
9/a-6=-3
9=3a-18
3a=162
a=54
Find the value of x in the given
right triangle.
12
x = [?]
X
62°
Enter your answer as a decimal rounded to the
nearest tenth.
Answer:
You divide 62/12=5.166
Find the lateral area of this square based pyramid. 10in 5 in [ ? ]in?
Answer:
Step-by-step explanation:
Lateral area, Al = a√(a² + 4h²)
Where,
a = base edge = 5 in
h = height = 10 in
Lateral area, Al = a√(a² + 4h²)
= 5√(5² + 4*10²)
= 5√(25 + 4*100)
= 5√(25 + 400)
= 5√425
= 5 * 20.615528128088
= 103.07764064044
Approximately,
Lateral area = 103.08 in²
Answer: 100
Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100
how tall is three feet
Answer: if you mean Inches, its 25.
Answer:
36 inches or 1 yard
Step-by-step explanation:
The diagram shows a right angled triangle.
Find the size of angle x
Give your answer correct to 1 decimal place
Ans:40.8°
Step-by-step explanation:
sin(x)=17/26
x<π/2
x=0.7126... or 2.4289...
But x=2.4289...>π/2
So only 0.7126... meets
(0.7126.../π)*180°≈40.8°
so the answer is 40.8°
Question 2 - Cost of a Paver
The pavers cost $8 per square metre ($8/m?). There are 4 pavers in a
square metre.
Calculate how much one paver costs. Show your working
2$ each
Answer:
8$ divided by 4.which is equal to 2
Geometry math Jim please help and show work thanks
Kip has a collection of 68 marbles. Each glass marble has a mass of 18.5 grams. Each steel marble has a mass of 66 grams. What is the total mass of 48 glass marbles and 20 steel marbles in kilograms? PLS HELP!
Answer:
2.208 kg
Step-by-step explanation:
Total mass of glass marble
= 18.5×48
= 888 g
Total mass of steel marble
= 66×20
= 1320 g
Total mass of 68 marble including steel 20 and glass 48
= 888 + 1320
= 2208 g
In kilograms 2208
= 2.208 kg
Please mark as brainliest answer
The focus is the point inside a _____________ that helps determine the shape of the curve.
1.vertix
2.parabola
3.directrix
4.quadratic
The focus is the point inside a parabola that helps determine the shape of the curve.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
We have,
A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.
One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.
The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.
This property allows us to use the focus and directrix to determine the shape and location of the parabola.
Thus,
The focus is the point inside a parabola that helps determine the shape of the curve.
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