Given:
A quadrilateral has vertices at (1,4), (7,3), (3, -5), and (8,4).
The quadrilateral is dilated by a scale factor of 3.5 with the origin as its center.
To find:
The coordinates of the vertices of the image of the quadrilateral.
Solution:
If a figure is dilated by a scale factor k with origin as it center, then
[tex](x,y)\to (kx,ky)[/tex]
It is given that the quadrilateral is dilated by a scale factor of 3.5 with the origin as its center. So, the rule of dilation is
[tex](x,y)\to (3.5x,3.5y)[/tex]
Using this rule, we get
[tex](1,4)\to (3.5(1),3.5(4))[/tex]
[tex](1,4)\to (3.5,14)[/tex]
Similarly,
[tex](7,3)\to (3.5(7),3.5(3))[/tex]
[tex](7,3)\to (24.5,10.5)[/tex]
[tex](3,-5)\to (3.5(3),3.5(-5))[/tex]
[tex](3,-5)\to (10.5,-17.5)[/tex]
And,
[tex](8,4)\to (3.5(8),3.5(4))[/tex]
[tex](8,4)\to (28,14)[/tex]
Therefore, the coordinates of the vertices of the image of the quadrilateral are (3.5,14), (24.5,10.5), (10.5,-17.5), (28,14).
Katia is baking. She uses 2 ⅛ cups of sugar for cookies and 1 ⅗ cups of sugar for a cake. How much total sugar did Katia use?
Answer:
3.725
Step-by-step explanation:
because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725
Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?
The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units.
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.
Answer:
The graph of f(x)=x^2 is reflected over the x-axis. The answer is D
Answer:
The answer is D
find the slope between the given two points
Slope can be found using the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
7) Let:
[tex](x_1 , y_1) = (-1 , -11)\\(x_2 , y_2) = (-6 , -7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-7 - (-11)}{-6 - (-1)} = \frac{-7 + 11}{-6 + 1} = \frac{4}{-5} = -\frac{4}{5}[/tex]
Slope: [tex]-\frac{4}{5}[/tex]
8) Let:
[tex](x_1 , y_1) = (-7 , -13)\\(x_2 , y_2) = (1 , -5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-5 - (-13)}{1 - (-7)} = \frac{-5 + 13}{1 + 7} = \frac{8}{8} = 1[/tex]
Slope: [tex]1[/tex]
9) Let:
[tex](x_1 , y_1) = (-5 , 3)\\(x_2 , y_2) = (8 , 3)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{3 - (3)}{8 - (-5)} = \frac{0}{8 + 5} = \frac{0}{13} = 0[/tex]
Slope: [tex]0[/tex]
10) Let:
[tex](x_1 , y_1) = (3 , -2)\\(x_2 , y_2) = (15 , 7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{7 - (-2)}{15 - 3} = \frac{7 + 2}{15 - 3} = \frac{9}{12}[/tex]
Simplify the slope. Divide common factors from both the numerator and denominator:
[tex](\frac{9}{12})/(\frac{3}{3} ) = \frac{3}{4}[/tex]
Slope: [tex]\frac{3}{4}[/tex]
11) Let:
[tex](x_1 , y_1) = (-5 , -10)\\(x_2 , y_2) = (-5 , -1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-1 - (-10)}{-5 - (-5)} = \frac{-1 + 10}{-5 + 5} = \frac{9}{0} =[/tex] undefined.
Slope: undefined
12) Let:
[tex](x_1 , y_1) = (-4 , -2)\\(x_2 , y_2) = (-12, 16)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{16 - (-2)}{-12 - (-4)} = \frac{16 + 2}{-12 + 4} = \frac{18}{-8} = -\frac{18}{8} = ((-\frac{18}{8})/( \frac{2}{2}) = -\frac{9}{4}[/tex]
Slope: [tex]-\frac{9}{4}[/tex]
~
The following sequence is arithmetic. Fill in the missing terms.
12 , ? , ? , ? , 18, ? ...
Answer:
12,13.5,15,16.5,18,19.5
Step-by-step explanation:
just add 1.5
10
10
14
50
50
10
10
NOTE: Figure not drawn to scale.
Which statement can be used to prove that the triangles above are congruent?
A If two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent.
B If two triangles have three pairs of corresponding angles that are congruent, then the triangles are congruent
If two triangles have two pairs of corresponding sides that are congruent, and the included angles are congru
triangles are congruent.
D
If two triangles have to pairs of corresponding angles that are congruent, and the included sides are congru
triangles are congruent.
Answer:
do you have a picture or somthing beacuse i dont understand what your asking
Step-by-step explanation:
Answer: prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent.
Step-by-step explanation:
PLEAS EHELP ILL GIVE BRAINLIEST
PLEASE SHOW ALL WORK AND BE SPECIFIC
Answer:
Where is the question? You didn't post it.
Which table represents a linaer function
Answer:
Top left table
Answer:
the first one
Step-by-step explanation:
look at the picture if it does make sense let me know
Help me please I need this by 5:00 help me please
Answer:try doing the method
Step-by-step explanation:
A= Base Side
B= Base Side
C=Base Side
H=Height
HOPE THAT HELPS!
Find the value of x.
Which rule defines S, for an = 3(0.7)n?
Sn=7(0.7n)
Sn = 2.1(0.7n)
Sn= 7(1-0.7n)
Sn= 2.1(1-0.7n)
Answer: C
Sn= 7(1-0.7n)
Step-by-step explanation:
The rule that defines S for [tex]a_n = 3(0.7)^n[/tex] is:
[tex]S_n = 7(1 - 0.7^n)[/tex]
The rule of S means that we calculate the rule that defines the sum of n terms of the geometric progression.
Given that:
[tex]a_n = 3(0.7)^n[/tex]
Rewrite as:
[tex]a_n = 3 (0.7)^n \times 1[/tex]
Replace 1 with 0.7/0.7
[tex]a_n = 3 (0.7)^n \times \frac{0.7}{0.7}[/tex]
Rewrite as:
[tex]a_n = 3 *0.7 \times \frac{(0.7)^n}{0.7}[/tex]
Apply law of indices
[tex]a_n = 3 \times 0.7 \times (0.7)^{n-1}[/tex]
[tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]
The n term of a geometric progression is:
[tex]a_n = ar^{n-1}[/tex]
Compare [tex]a_n = ar^{n-1}[/tex] to [tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]
[tex]a = 2.1[/tex] --- the first term
[tex]r = 0.7[/tex]
The sum of n terms of a geometric progression is:
[tex]S_n = \frac{a(1 - r^n)}{1 -r}[/tex]
This gives:
[tex]S_n = \frac{2.1(1 - 0.7^n)}{1 -0.7}[/tex]
[tex]S_n = \frac{2.1(1 - 0.7^n)}{0.3}[/tex]
[tex]S_n = 7(1 - 0.7^n)[/tex]
Learn more about the sum of geometric progression at:
https://brainly.com/question/22068689
Que funciones madre tienen su punto de inicio en el origen
Answer:
Funciones radicales
Step-by-step explanation:
Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.
Please help!
How are 3(3x+5) and -9x-15 equivalent to 9x+15?
Choose the angle which is vertical to ∠ in the following figure.
Answer:
angle DFE
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST
Suppose a cone and a cylinder both have congruent circular bases and congruent heights. How may times larger is the cylinder than the cone?
Answer:
Naruto, the cylinder's volume is 3 times that of the cone.
Step-by-step explanation:
Cone volume = (1/3)πr2h
Cylinder volume = πr2h
So, the cylinder's volume is 3 times that of the cone.
HURRY PLEASE
A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studled
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?
Answer:
Crown the other person brainliest
Step-by-step explanation:
:)
HELP!!! answer quickly pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Each of the green lines has 3 times the length of the corresponding blue line. Thus the dilution factor is 3.
PLEASE PLEASE HELP WITH THIS
Answer:
θ = 76°
Step-by-step explanation:
Using the cofunction identity
sinx° = cos(90 - x)°, then
sin14° = cos(90 - 14)° = cos76°
That is θ = 76°
Answer:
in radians o= 0.13716675
Step-by-step explanation:
cos(0)=0.9906074
O= arccos(0.9906074)
O=0.13716675
can yu write a linear equation for this
Answer:
Step-by-step explanation:
Answer: 0.5x + 5 = 20Please mark as brainliest for future answers :)
Answer:20
Step-by-step explanation:
Plz help I’ll give branliest plzzz
Given:
The two triangles are similar by SSS.
To find:
The value of x.
Solution:
If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.
It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]
[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
On cross multiplication, we get
[tex]3(x+1)=2(3x-3)[/tex]
[tex]3x+3=6x-6[/tex]
[tex]3x-6x=-3-6[/tex]
[tex]-3x=-9[/tex]
Divide both sides by -3.
[tex]x=3[/tex]
Therefore, the value of x is 3.
12. Solve for x. x = ___________
Step-by-step explanation:
this is math right what grade is this
how do i write the product of q and 11 as an algebraic expression
Answer:
since the product meaning multiplication, it basically means 11 (q) which is 11q.
PLEASE HELP ASAP
PLEASE
Answer: -5
Step-by-step explanation: whichever number repeats the most is the mode. In this case, -5 repeats 2 times, while the other numbers dont repeat at all.
If we want to write to the mode of -5, -2, -5, -9, -7, 4 is -5
Which order pair could represent the location of point h
Helppppp please it’s timed
Answer:
Estimated population of New Hampshire is
A. 35,000
Based on the table, which function models this situation?
Answer:
F(n) =-3n+24
Step-by-step explanation:
Can someone message me I need help ASAP by tmr
Plz only find the shaded area only I would appreciate if you did this on paper and showed all steps
What is the order of these numbers from least to greatest?
4.03 4.3 4.003
Subtracting fractions with unlike denominators
Answer:
Answer is 9/8
Step-by-step explanation:
18/8-9/8=9/8
Answer:
9/8
Step-by-step explanation:
9/4 - 9/8
9/4 x 2 = 18/8 to match denominators
18/8 - 9/8
= 9/8