Which inequality matches the graph?
X, Y graph. X range is negative 10 to 10, and y range is negative 10 to 10. Dotted line on graph has positive slope and runs through negative 3, negative 8 and 1, negative 2 and 9, 10. Above line is shaded.
−2x + 3y > 7
2x + 3y < 7
−3x + 2y > 7
3x − 2y < 7
Given:
The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).
Above line is shaded.
To find:
The inequality for the given graph.
Solution:
Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{10-(-2)}{9-1}(x-1)[/tex]
[tex]y+2=\dfrac{10+2}{8}(x-1)[/tex]
[tex]y+2=\dfrac{12}{8}(x-1)[/tex]
[tex]y+2=\dfrac{3}{2}(x-1)[/tex]
Multiply both sides by 2.
[tex]2(y+2)=3(x-1)[/tex]
[tex]2y+4=3x-3[/tex]
[tex]2y-3x=-3-4[/tex]
[tex]-3x+2y=-7[/tex]
Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.
[tex]-3x+2y>-7[/tex]
This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.
[tex](-3x+2y)(-1)<-7(-1)[/tex]
[tex]3x-2y<7[/tex]
Therefore, the correct option is D.
Find the measure of the indicated aces and angles
Answer:
a=21
b=69
c=42
d=138
Step-by-step explanation:
c is supplementary to d (which is 138), so c=180-138= 42.
angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.
angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.
Choose the correct answer from the given four options:In an AP, if a = 3.5, d = 0, n =101 ,then an will be
0
-3.5
3.5
1
Answer:
3.5
Step-by-step explanation:
Tn=a(n-1)d
Tn=3.5+(101-1)0
Tn=3.5+0
Tn=3.5
Peter’s father told peter to buy four-tenths of a pound of chili powder. Each package is marked with its weight. What package should Peter guy?
Answer:
The weight of the package of chili powder is 181.44 g.
Step-by-step explanation:
Amount of chili powder = 4/10 pound
1 pound = 453.6 g
So,
4/10 pound = 4/10 x 453.6 = 181.44 g
The weight of the package of chili powder is 181.44 g.
WILL MARK BRAINLIEST
Create diagrams to represent the possible cases for common tangents between two circles. Please give justification for each diagram.
1. No common tangents
2. One common tangent
3. Two common tangents
4. Three common tangents
5. Four common tangents
Refer to the diagram below for examples of what I mean.
Question 24 of 42
Which of the following conditions is not sufficient to show that the two
triangles are congruent?
AA
A
X Х
5-
A. AABC and Axyz have the same orientation.
B. The rise and run of the translation between each pair of
corresponding points are the same.
A
Answer:
I think A is correct
Step-by-step explanation:
I can't see D so I'm not sure, hope it's right
Read the text and answer the following questions:
1. Kolman shop was once a very rich town
True
False
2. The UFO buildings are a popular tourist attraction in Taipei.
True
False
3. Fordlandia became a problem because there was nowhere for the factory workers to live.
True
False
4. The Ford family sold Fordlandia for $20 million.
True
False
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
Determine which statement or statements are true. If none write “none”.
SOMEONE PLSSSS HELP ME WITH 4-6 THANK YOU SO MUCH!!!! LIFE SAVER!!!!
Answer:
4. D.
5. C.
6. A.
Step-by-step explanation:
It's just simple ratios... It's been a while since I learned it so I don't really remember how to explain the answers.
A square has a perimeter of 36 cm.
What is the length of each side?
Answer:
Step-by-step explanation:
The perimeter of a square has a formula P = s + s + s + s or just P = 4s where s is the length of a side. If this perimeter has a number value, we can plug it in and solve for the length of each side, like this:
36 = 4s so
s = 9 cm. And there you go!
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Step-by-step explanation:
tangent = opposite / hypothenus
tan C = ED / DC
tan C = 28 / 53
Answer:
I just go it wrong, it's 28/45
Step-by-step explanation:
i need the answer asap please help!
a watch was bought for RS 4444. at what price should it be sould to gain rs444?
Answer:
Rs4000
Step-by-step explanation:
Given data
Step one
Selling price =RS 4444
Gain =rs444
Cost price =???
We want to find the cost price
Cost price =selling price - gain
Cost =4444-444
Cost=Rs4000
What is the vertex of the quadratic function below?
y = x2 + 12x - 7
Answer:
(6,101)
Step-by-step explanation:
x value of vertex is given by b/2a in quadratic.
b=12 and a=1
that gives you a 6, then plug in x=6 in the quadratic equation and that gives you
y=101
The length of a rectangle is twice its width the perimiter is 60 ft find its area
Hello,
let's assume a=the length and b the width.
[tex]\left\{\begin{array}{ccc}a&=&2*b\\2(a+b)&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\a+b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\3b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&10\\a&=&20\\\end{array}\right.\\\\\\Area=10*20=200\ (ft^2)\\[/tex]
Find the length of the line AB
Answer:
the length would be 12.
Step-by-step explanation:
Answer:
[tex]{ \boxed{ \bf{length = \sqrt{(x _{2} - x _{1}) {}^{2} + {(y _{1} - y _{2}) }^{2} }}}} \\ { \tt{length = \sqrt{ {(5 - ( - 2)) }^{2} + {(7 - 3)}^{2} } }} \\ { \tt{length = \sqrt{65} }} \\ length = 8.06 \: units[/tex]
Which inequality describes the graph?
Answer:
1 describe the inequality graph
The side length of the cube is 5 cm. Find the volume of the cube.
Answer:
125 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables
a = 5 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³Evaluate exponents: V = 125 cm³Answer:
[tex]\huge\boxed{V=125cm^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cube with edge [tex]a[/tex]:
[tex]V=a^3[/tex]
We have [tex]a=5cm[/tex].
Therefore the volume is:
[tex]V=(5cm)^3=5cm\cdot5cm\cdot5cm=125cm^3[/tex]
Using a rain gauge, Gerry determined that
1
2
inch of rain fell during
3
4
of an hour. What is the unit rate of rainfall in inches per hour?
Answer:
2/3
Step-by-step explanation:
1/2 ÷3/4 =
1/2 ×4/3 = 4/6
4/6 ÷2 = 2/3 is the answer
Solve for x. Round to the nearest tenth, if necessary.
Please help me, I’m begging you
Answer:
A. 5
Step-by-step explanation:
PQ + QR + RS = PS
2x - 6 + 1 + x - 4 = 18
3x - 9 = 18
3x = 27
x = 9
RS = x - 4
RS = 9 - 4
RS = 5
6 times the diffrence of 12 and 9 divided by 3
Answer:
1
Step-by-step explanation:
The difference of 12 and 9 is 12 - 9 = 3
Then 3 ÷ 3 = 1
which graph shows a set of ordered pairs that represent a function. help im on a time limit!
Answer:
first one
Step-by-step explanation:
please answer asap and dont get it wrong T0T
Step-by-step explanation:
answer what ?
all we can see is a grid of coordinates with a functional graph drawn into it.
and we know this function is called y=h(x).
that is it.
what answer is needed ? there is no question visible.
Find QR
PQ= 3
QR= 2x+22
PR= x+17
Calculate the exact value of number one
Answer:
3/ 20
Step-by-step explanation:
4 1/5 × 1/3 - 1 1/4
= 21/5 × 1/3 - 1/5
= 7/5 - 5/4 = 28 - 25/ 20 = 3/20
= 3/20
in a survey group of people 50% like to listen radio and 60% like to watch the television if 30 person of the middle listen to the radio not was the television and find the number of people who like to listen both the radio and television with a Venn diagram
Answer:
15 and 18 i hope it will help you
what is the mid point of AB?
Answer:
G
Step-by-step explanation:
I did this on edge and it was right
Answer:
O Point G
Step-by-step explanation:
A = -6
B = 8
To find the midpoint, calculate how much would it take for both points to have a value of zero.
-6 + ? = 0
-6 + 6 = 0
8 - ? = 0
8 - 8 = 0
so the midpoint will be about 7 (between 6 & 8)
Now which of the points best shows 7 units apart of AB
Answer: point G
En una radio, 1/8 del dia esta destinado a emitir publicidad. Del total de publucidad, 3/5 corresponden a comerciales de univercidades. En esta radio,¿que fraccion del tiempo diario corrsponde a publicidad de univercidades.
Respuesta:
3/40
Explicación paso a paso:
Dado :
Fracción de tiempo diario dedicado a publicidad = 1/8
Del tiempo diario dedicado a publicidad, 3/5 corresponde a comerciales de universidad
Fracción del tiempo diario dedicado a la publicidad de las universidades:
3/5 de 1/8
3/5 * 1/8 = (3 * 1) / (5 * 8) = 3/40
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.06) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2009?
Answer:
Step-by-step explanation:
Well the percent of growth is 6%
The reason is because when we look at a exponential function, if the number in the percent is more than 1 subtract the number from 1 and multiply it by 100 thats your percent
Now to find the company's value in 2009 or 9 years after 2000
we just replace the variable representing time "t" for 9
221(1.06^9)= 373.37484994
the value of the company in 9 years is 373.37484994 (in million dollars)
the percentage of annual growth is 6%
pls give brainliest
how to write an interval x -3
Step-by-step explanation:
We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].