Answer:
slope is zero
Step-by-step explanation:
This is a horizontal line parallel to the x- axis
Since the slope of the x- axis is zero then the slope of the line is zero
Answer:
its slope is zero
Step-by-step explanation:
the slope of a line is simply the ratio between y- and x-change from one point of the line to another.
you can express it as y/x.
e.g. 5/2 - meaning that when x changes by 2 units, y changes by 5 units (so, it goes up steeply).
now, the line in the graph is just a flat line. no matter how many units we change x and move to the right, y won't change and simply stay at 2.5.
so, 0 change in y.
and the slope is 0/"delta x" for "delta x">0
all that means the slope is 0, as 0 divided by anything is always 0.
the function for that line is therefore
y = 0×x + 2.5 or simply
y = 2.5
and the factor of x (in this case 0) is always the slope of the line.
A jewellery shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.
Answer:
Step-by-step explanation:
x is the original price.
420/x = 70% = 0.7
x = 420/0.7 = 600
Original price of bracelet was £600
3. Find the equations of the lines that form the sides to the polygon shown below. What type of polygon is it? Explain your reasoning.
Answer: The question is not complete. the figure is attached below.
The polygon is a rectangle.
Step-by-step explanation:
Line 1 goes through (-2, 3)
hence the slope of line 1 = -3/2
Line 2 goes through (0, 3) (2, 0)
hence the slope of line 2 = -3/2
Line 3 goes through (0, 1) (-3, 1)
hence the slope of line 3 = 2/3
Line 4 goes through (3, 0) (0, -2)
Hence the slope of line 4 = 2/3
therefore -3/2 * 2/3 = -1
Line1 + Line3 Line1 + Line4 Line2 + Line3 Line2+Line4
because, the distance between Line1 and Line2 is not equal to that Line3 and Line4.
The polygon is a rectangle polygon.
AB is tangent to circle C. Find the value of r. Please answer Asap
Answer:
3
Step-by-step explanation:
a tangent to a circle makes right angle with the radius at that point ( here the point is B)
thus,
ABC is a right angled triangle
AC being the hypotenuse AB being the adjacentBC being the oppositeBy Pythagoras theorem :-
By Pythagoras theorem :-AC² = AB² + BC²
(r + 2)² = 4² + r²
r² + 4 + 4r = 16 + r²
subtracting r² from both sides and taking 4 common
4(1 + r) = 16
diving both sides by 4
1 + r = 4
r = 3 units
The value of r is,
⇒ r = 3 units
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
AB is tangent to circle C.
Now,
By Pythagoras theorem, we get:-
AC² = AB² + BC²
(r + 2)² = 4² + r²
r² + 4 + 4r = 16 + r²
subtracting r² from both sides and taking 4 common
4(1 + r) = 16
diving both sides by 4
1 + r = 4
r = 3 units
Thus, The value of r is,
⇒ r = 3 units
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ2
3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10
Answer:
The answer is
[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]
What is domain and range of the following graph? 10 points!!!
Answer:
domain R
range is ] - infinity, -4]
to assure u :)
A circle has a circumference of 8, It has an arc of length start fraction, 32, divided by, 5, end fraction. What is the central angle of the arc, in degrees?
Answer:
The central angle of the arc is 288 degrees.
Step-by-step explanation:
The correct question is
A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?
we know that The circumference of the circle subtend a central angle of 360 degrees
so using a proportion
Find out the central angle for an arc of length 32/5
Is (0,0) a solution of the graphed inequality?
Choose 1 answer:
Yes
No
Answer:
no..........................
Meena has ₹600 in the form of notes of ₹10 and ₹20 denomination. Number of ₹10 notes is three times the number of ₹20 notes. Find the number of notes of each denomination.
Answer:
Meena has twelve (12) ₹20 notes and thirty six (36) ₹10 notes
Step-by-step explanation:
The amount Meena has as notes in ₹10 and ₹20 denominations = ₹600
The number of ₹10 notes = 3 × The number of ₹20 notes
Let 'x' represent the number of ₹20 notes Meena has, we get;
The number of ₹10 notes = 3 × x
The total number of notes = x × 20 + 3·x × 10 = 50·x = ₹600
∴ 600/50 = 12
The number of the ₹20 notes, x = 12
The number of the ₹10 = 3 × x
∴ The number of the ₹10 = 3 × 12 = 36
WILL MARK BRAINLIEST
Please help solve problems with common tangents.
Thank you.
Answer:
sorry I don't know but can u PLEASE MARK ME AS BRAINLIEST.
Step-by-step explanation:
.......
===========================================================
Explanation:
Let's start with what the hint gives us. So the first sub-goal is to prove triangle ABE is similar to triangle DCE.
Since points A and D are points of tangency, this means the radii of each of those circles is perpendicular to the common internal tangent. So angles EAB and EDC are 90 degrees each.
Due to the vertical angle theorem, we also know that angles AEB and DEC are the same (we don't know the measure but we know they're equal angles).
So we have two pairs of congruent corresponding angles between the triangles, which is sufficient to let us use the AA (angle angle) similarity theorem. Therefore, the triangles have been proven to be similar. Triangle DCE is a reduced scaled down copy of triangle ABE. Or in reverse, triangle ABE is an enlarged copy of triangle DCE.
-----------------------
Since the triangles are similar, we can form the proportion below and solve for x
AB/AE = DC/DE
x/18 = 4/6
x*6 = 18*4 .... cross multiplication
6x = 72
x = 72/6
x = 12
Therefore, segment AB is 12 units long, and this is the radius of circle B.
how do i answer this?
Step-by-step explanation:
here is the answer. Hope that helps.
A toy is in the form of a cone mounted on a hemisphere of common base radius 7cm. The total height of the toy is 31cm. What's the total surface area of the toy?
1 465
2 769
3 835
4 912
[tex]\huge\tt\pink{Answer}[/tex]
A≈852.83cm²
Radius
7cm
Height
31cm
El resultado de 3^2∙3^2 es:
Answer:
3^2 x 3^2 = 813^2 = 3 x 3 = 9
9 x 9 = 81
Answer:
[tex]3^{2} \times3^{2}[/tex]
[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex][tex]Answer: 81[/tex]
------------------------
hope it helps...
have a great day!!
Sam studied guinea pigs for his science fair project. He found that the amount of weight the guinea pigs gained varied directly with the number of calories they consumed.
The guinea pigs gained 1 ounce for every additional 218 calories in their diet. How many additional ounces would they gain if their diet was increased by 1,090 calories? Let W represent the weight in ounces, and let C represent the number of calories.
Answer: C= 1,090 and the W= 5.
What is the equation of the line written in general form? I need the answer ASAP
Answer:
The answer is 3x-y-2=0
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m = [tex]\frac{4-1}{2-1}[/tex] = 3
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = 3x - 2 ← in slope- intercept form
subtract y from both sides
0 = 3x - y - 2 , that is
3x - y - 2 = 0 ← in general form
Can someone help me with this
Answer:
use system of equations
Step-by-step explanation:
Set one up for the Smith family and one for the Jones family
Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?
Answer:
The lengths of the other sides would be 10, as well.
Step-by-step explanation:
Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.
The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle
What is an Equilateral Triangle?An equilateral triangle is a triangle in which all three sides have the same length.
Let the triangle be ΔABC , and
∠A = ∠B = ∠C = 60° and AB = BC = CA
Given data ,
Let the triangle be represented as ΔABC
Let the side length of the triangle be AB = 10
Now , the measure of ∠ABC = 60°
And , the measure of ∠BAC = 60°
So , the total sum of all the angles in a triangle = 180°
And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°
Therefore , all the angles of the triangle are 60°
So , it is an equilateral triangle
And , the measure of side lengths of the triangle is 10
Therefore , AB = BC = CA = 10
Hence , it is an equilateral triangle
To learn more about equilateral triangle click :
https://brainly.com/question/17824549
#SPJ3
If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?
Answer: 30
Step-by-step explanation:
Given
Polyhedron has (E)58 edges
It has same number of faces and vertices
Using Euler's formula
[tex]\Rightarrow V-E+F=2[/tex]
where
V=no of vertices
E=no of edges
F=no of edges
Suppose there are x faces
Insert the values
[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]
Thus, polyhedron has 30 faces.
Answer:
30
Step-by-step explanation:
I NEED HELP WITH THIS ONE TOO !!
Answer:
40°
100 + 80 = 180
60 + 80 = 140
140+ 40 = 180
Step-by-step explanation:
Answer:
m<C+m<D=100 degrees m<D=40 degrees
Step-by-step explanation:
URGENTTTTTTTT!! HELP QUICK PLZZZZZZZZz
Explanation:
The phrasing "given that he or she is a graduate" means we focus on the middle row only. We ignore everything else.
We see that A = 1879 graduates receive financial aid out of B = 2610 graduates total.
This means the probability we want is therefore A/B = 1879/2610 = 0.7199 approximately. This converts to 71.99% and that rounds to 72%
I need help pls !!!!!!!
What goes in the blanks? The measure of angle θ is 7π/4. The measure of its reference angle is _____°, and tan θ is ______?
Answer:
The measure of angle θ is 7π/4. The measure of its reference angle is 45°, and tan θ is -1.
Answered by GAUTHMATH
input output f(x)= -5(x+7)
Answer:
x= -7
Step-by-step explanation:
f(x) = -5(x+7)
0 = -5x -35
5x = -35
equals to x= -7
What is the surface area of this right circular cone?
radius=12
height=40
Answer:
2026.75 (units) squared
Step-by-step explanation:
SA of a cone = πr(r+h2+r2)
SA = π(12)(12+√(40^2)+(12^2))
SA = 12π(12+√1744)
Put in calculator and get 2026.75
PLEASE HELP ITS EASY BUT LIKE yh
Answer:
40 I told u
Step-by-step explanation:
right angles are 90 degrees
Answer :
x +25 +25 =90 degrees
x +50 =90 degrees
x = 90 -50
x = 40 degrees
write twelve thousand twelve hundred and twelve in numbers
Answer:
12, 120,012
Step-by-step explanation:
Translate this sentence into an equation. 144 is the product of Diego's age and 9.
Step-by-step explanation:
Represent Diego's age by d. Then 9d=144.
3 questions only pls help gota finish tofday
5a) 3x3x13
b) 3x7x7
c)11x5x2x2
d)3x3x3x5x2
6a)2x2x2x131
7a)5x5x2x2
b) 3x2x17
c)5x2x2x2x2x2x2
d)5x5x5x3
e) 2x2x103
f)5x3x137
g) 2x2x2x2x2x2x2x2x2
h)5x5x7x7x3
I am trying to figure this question:
1 + tan^2A = Sec^2A
Answer:
see explanation
Step-by-step explanation:
Using the Pythagorean identity
cos²A + sin²A = 1 ( divide terms by cos²A )
[tex]\frac{cos^2A}{cos^2A}[/tex] + [tex]\frac{sin^2A}{cos^2A}[/tex] = [tex]\frac{1}{cos^2A}[/tex] , that is
1 + tan²A = sec²A ← as required
find the x-intercept and y-intercept from the following linear equation: -7x+4y=56
Answer:
x-intercept = (-8,0) y-intercept = (0,14)
Step-by-step explanation:
-7x + 4y = 56
4y = 7x + 56
y = 7/4x + 14
y-intercept = 14
0 = 7/4x + 14
-7/4x = 14
x = -8
What is the relationship between an angle of elevation and an angle of depression in a right triangle?
Answer: Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles
Answer:
Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles
Step-by-step explanation:
correct on EDGE2021