Answer:
A1/A2=b1/b2 is not equal to C1/c2
Question 1
Which inequality is true when y = -2?
A-6y > 12
B -5y < -10
C-4y <-8
D 7y > -14
1. What is the slope of the line
given by the equation
y = 2x +7
Answer:
2
Step-by-step explanation:
CYU/LP 15-1&2 SIMILAR FIGURES
5 of 7 5 of 7 Items
What is the common ratio(scale factor) of side AD to side WZ?
4/8
4/6
15/6
5/2
Answer:
Option 4
Step-by-step explanation:
Both the quadrilaterals are similar,
ABCD ~ WXYZ
Therefore, ratio of the corresponding sides will be constant in other words ratio of the corresponding sides will be common.
Scale factor = [tex]\frac{AD}{WZ}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
Therefore, option (4) will be the correct option.
find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0
Answer:
Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
Step-by-step explanation:
Given
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Solving (a): The radius of the circle
First, we express the equation as:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
So, we have:
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Divide through by 9
[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]
Rewrite as:
[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]
Group the expression into 2
[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
Next, we complete the square on each group.
For [tex][x^2 + 3x][/tex]
1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]
2: Take the [tex]square\ of\ the\ division[/tex]
3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]
So, we have:
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Factorize
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Apply the same to y
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]
Add the fractions
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
By comparison:
[tex]r^2 =\frac{7}{12}[/tex]
Take square roots of both sides
[tex]r =\sqrt{\frac{7}{12}}[/tex]
Split
[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]
Rationalize
[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]
[tex]r =\frac{\sqrt {84}}{12}[/tex]
[tex]r =\frac{\sqrt {4*21}}{12}[/tex]
[tex]r =\frac{2\sqrt {21}}{12}[/tex]
[tex]r =\frac{\sqrt {21}}{6}[/tex]
Solving (b): The center
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
From:
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]
Solve for h and k
[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]
Hence, the center is:
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12
Answer: I know that DC is 12 and AD=8 the others i dont know.
Step-by-step explanation:
This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.
Least common denominator in 1/30 + 1/24
Answer:
The LCD in 1/30 + 1/24 is 90.
Solve for the value of r.
Answer:
r = 20
Step-by-step explanation:
4r - 5 + 105 = 180
4r + 100 = 180
4r = 80
r = 20
Jacob's family takes the train to the city. The sign below shows information about the cost of train tickets. Jacob's family buys 2 adult tickets and 3 child tickets.
How much does it cost Jacob's family to take the train into the city?
Train Fare One-Way Adult $7 Child $6
It costs Jacob's family $
32
to take the train into the city.
You got it!
Jacob’s father pays for the tickets with $5 bills. He receives $3 in change. How many $5 bills does Jacob’s father use to pay for the tickets?
Answer:
it cost Jacob family $32 and he used 7 $5 bill to pay
Step-by-step explanation:
2 × 7 = 14
3 × 6 = 18
18 + 14 = 32
5x - 32 = 3
5x = 32 + 3
5x = 35
x = 35 ÷ 5
x = 7
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X =
= [?]
D
AK
X/78°
B
-С
Angles are not drawn to scale.
Enter
x=102°
Answer:
x+78=180 supplementary angle
x=180-78=102
HELP FAST! TRUE OR FALSE , RIGHT ANSWERS ONLY
Answer:
I think it could be true, but maybe its false
Step-by-step explanation:
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT
The equation of the line is y = 9x. The correct answer is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
the points of line are (1,9) and (0,0).
Now,
In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:
m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9
Then we can use the point-slope form with any of the given points. Let’s use (0, 0):
y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x
This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.
Therefore, the equation of the line will be y = 9x.
Learn more about equations here;
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What is the area of the polygon below?
A. 120 square units
9
10
B. 174 square units
16
C. 66 square units
12
D. 84 square units
Answer:
D
Step-by-step explanation:
12-9 = 3 square unit
10 x 3 = 30 square unit
9×6 = 54 square unit
54+30 = 84 square units
and thats the answer
The area of the polygon is 84 square units, option D is correct.
What is Area of Rectangle?The area of Rectangle is length times of width.
The given polygon has two rectangles.
Area of rectangle with length 9 and width is 6 units
Area of rectangle 1 =9×6
=54 square inches
Now Area of rectangle with length 10 and width is 3 units
Area of rectangle 2 =10×3
=30 square inches
Total area = 54+30
=84 square units
Hence, the area of the polygon is 84 square units, option D is correct.
To learn more on Area click:
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Sally drives from Turlock to Los Angeles at an
average speed of 60 miles per hour. Turlock is
approximately 300 miles from Los Angeles. Which
of the following graphs could give Sally’s
approximate distance d, in miles from Los Angeles,
in terms of time t, in hours? A, B, C, D, or E?
Answer:
A
Step-by-step explanation:
Which of the following is the solution to ?
Answer:
Could you add more info?
Step-by-step explanation:
Which statement is true about the solution to ?
The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answer: correct
Step-by-step explanation: The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answer: There are no real number solutions to this equation.
3^x = 9x. What is the value of x?
x = 3
[tex]3^{3} =[/tex] 3 x 3 x 3 = 27
9x = 9 x 3 = 27
Pls help I’ll pay u 30$ if it’s right
Answer:
8 5 7 1 3 2 4 6
Step-by-step explanation:
my Cashsap kinqcollin
the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right isosceles triangles. find the lengths of the equal sides of each base.
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
Los ángulos de elevación hacia un
avión se miden desde la parte superior y la base de
un edificio que tiene 20 m de altura. El ángulo desde
la azotea es de 38°, y desde la base es de 40°.
Calcule la altitud del avión
A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.
¿Cómo hallar la altitud del avión con respecto al suelo?
A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:
[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex] (1)
Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:
h = r₁ · sin 40° (2)
h = (451.589 m) · sin 40°
h ≈ 290.276 m
A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.
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A rectangular prism has a length of 5 centimeters, a height of 6 centimeters, and a width of 9 centimeters. What is its volume, in cubic centimeters?
Answer:
270 cubic centimeters
Step-by-step explanation:
To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270
Proving triangles similar
Answer: AA
Step-by-step explanation:
You can do vertical angles or alternate interior angles. Hope this helps :)
Solve for a.
2
9
х
36
Answer:
a=29×36
Step-by-step explanation:
just do 29×36 to get your answer
PLS HELP!
2x + 4 > 8
2x 4 =- 8
2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.
A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P = Aekt Enter the correct answer.
Answer:
184
Step-by-step explanation:
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Step-by-step explanation:
You have to click the number of Xs for each kilometer travelled. For example, there are 2 "3 km" answers, so under the 3 column, you click 2 Xs.
If a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?
Answer:
135
Step-by-step explanation:
Answer:
135 cupcakes
Step-by-step explanation:
You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.
There were 816 cars parked in the parking lot on Monday morning. At lunchtime 91 cars left the lot. After lunch, 135 cars came back to the parking lot. How many parking spots were left on Monday morning ?
Answer:
467
Step-by-step explanation:
There were a total 1327 parking lots.
Out of these 816 were taken in the morning, 91 cars left in the afternoon, while 135 came back after lunch.
So there are,
[tex]Cars left = 1327 - (816 - 91 + 135) \\\\ = 1327 - 860\\ = 467[/tex]
Thus, there are 467 parking spots left on Monday afternoon.
4.
A restaurant offers seven kinds of main
courses, nine types of drinks, and four types of
desserts. How many different meals
consisting of a main course, a drink, and a
dessert does the restaurant offer? |
Answer:
252
Step-by-step explanation:
Types of main courses available = 9
Types of drinks offered = 7
Types of deserts = 4
Number of different meals consisting of a main course, a drink and a desert offered
Using the combination rule :
9C1 * 7C1 * 4C1
nCr = n! ÷ (n-r)!r!
So using calculator we obtain :
9 * 7 * 4 = 252
What is the difference of the two expressions shown below (3/4X+2)-(1/4x+5). Explain why
A. 1/2x + 7
B. x + 7
C. 1/4X - 3
D.1/2x - 3
Answer:
D. 1/2x - 3Step-by-step explanation:
(3/4x + 2) - (1/4x + 5) =3/4x - 1/4x + 2 - 5 = 2/4x - 3 = 1/2x - 3Correct choice is D
Find the measurement indicated. Round to the nearest tenth.
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°