Answers
Answer:
k = 3.5
Step-by-step explanation:
Area of a rectangle = length × width
Area of the bigger triangle - Area of the smaller triangle = 35 cm²
Thus:
(2k + 6)(k) - (3)(k) = 35 cm²
2k² + 6k - 3k = 35
2k² + 3k - 35 = 0
Factorise
2k² + 10k - 7k - 35 = 0
2k(k + 5) -7(k + 5) = 0
(2k - 7)(k + 5) = 0
2k - 7 = 0
2k = 7
k = 3.5
Or
k + 5 = 0
k = -5
The value of k would be the positive number which is 3.5.
Related Questions
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answers
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
Learn more on reflection here: https://brainly.com/question/14460986
what 0.05% in as a decimal and a mixed number in simplest form
Answers
deimal: 0.05% / 100 = 0.0005
mixed number: 5/10000
Thayne's credit card bill is $766.85. This includes his charges and interest. If the new charges are $559.45 more than the interest, find the amount in charges and the amount in interest.
Answers
Answer: The answer is 207.4 for the interest
Step-by-step explanation:
766.85 - 559.45= 207.4
The answer 207.4 is the amount of interest on Thayne's credit card bill.
How to solveWe can find this answer by subtracting the amount of charges from the total bill amount.
Total bill amount = $766.85
Amount of charges = $1118.9
Amount of interest = $766.85 - $1118.9 = $207.4
Read more about Amount of charges here:
https://brainly.com/question/25922783
#SPJ2
Find the measure of angle A.
Answers
Answer:
60 degrees sorry if its wrong
Step-by-step explanation:
can u pls help me with this question
Answers
Answer:
5
Step-by-step explanation:
Let me know if I am wrong
Select ALL the terms that are like 5b2
.
Question 4 options:
12b2
5
5b
10b2
Answers
Answer:
12b2 10b2
Step-by-step explanation:
Find the Values of X and Y in the diagram. PLZ HELP
Answers
Answer: x is 47, y is 75
Step-by-step explanation:
Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?
Answers
Answer:
36 to 12
Step-by-step explanation:
subtract 12 from 48 an you get 36 girls
-19 + 4k - 15k - k -9
Answers
Answer:
Let's simplify step-by-step.
−19+4k−15k−k−9
=−19+4k+−15k+−k+−9
Combine Like Terms:
=−19+4k+−15k+−k+−9
=(4k+−15k+−k)+(−19+−9)
=−12k+−28
Answer:
=−12k−28
Step-by-step explanation:
r. Powell just started an experiment. She will collect data for 8 days. How many hours is this?
Answers
Answer:
192 hours
Step-by-step explanation:
24 hours = 1 day
8 x 24 = 192
what is the common ratio for the geometric sequence 32,8,2,1/2?
Answers
The answer you will be dividing by is 4. hope this helps
Please help meeeeeee will brainliest
“ Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division”
Answers
Answer and equation: If we choose two whole numbers; 8 and 10
We want to divide certain numbers by 8 and 10 to get 9 remainder 5.
In this case; 77 divided by 8 is equal to 9 rem 5
and 95 divided by 10 is equal to 9 rem 5
To justify which is greater, we use decimal division;
= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)
and
= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)
Therefore; the first case is greater since 9.625 is greater than 9.5
That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.
plz help me im struggling hard
Answers
Answer:
0.20 × 65 is what you would do for the second
Step-by-step explanation:
btw listen to yungblud
Note that the cost for the rent is a function of the amount of the miles you drove. Let's call that [tex]C(m)[/tex].
Also note that the amount you pay will linearly increase, in other words, the increase in cost will always be the same for each mile. This tells us that our function is indeed a line, a first order polynomial of the form [tex]C(m) = am+b[/tex]
What would happen if you were to rent a truck and not drive it at all? You would pay only the one-time fee.
Therefore, [tex]C(0)=55[/tex]
So, [tex]C(m) = am + 50[/tex]
The cost will increase by $0.20 for each mile, wich tells us that [tex]a=0.20[/tex]
Finally, our expression is [tex]\boxed{C(m) = 0.2m+55}[/tex]
If we want to know how much would you pay if you drove 65 miles, we want to know what [tex]C(65)[/tex] is.
By plugging [tex]m=65[/tex] in the expression, we get
[tex]C(65) =68[/tex]
So you would pay $68
What is the answer for 2m + 3m + 8 + 6
Answers
Answer:
5m+14
Step-by-step explanation:
(EASY) Which best describes the relationship between the lines?
Answers
Solve for g: 19 > 2(g + 7.9).
Answers
Answer: g < 1 3/5
Step-by-step explanation:
first, i removed the parentheses.
19 > 2g + 15.8
then, i moved the terms.
-2g > 15.8 - 19
the, i calculated that.
-2g > -3.2
finally, i divided both sides.
g < 1.6
the alternative form is g < 1 3/5
(basically, the second answer)
HEEELPPPPP PPLS The second side of a triangle is 8 inches less than the first side. The third side is 14 inches more than the first side. The perimeter of the triangle is 78 inches. Find each side of the triangle.
Answers
Answer: ):
Step-by-step explanation:
Answer:
second side is 16
third side is 38
Step-by-step explanation:
x + (x - 8) + (x + 14) = 78
3x + 6 = 78
3x = 78 - 6
3 x = 72
x = 72/3
x = 24
24 + (24 - 8) + (24 + 14) = 78
24 + 16 + 38 = 78
What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?
Answers
Answer:
the correct answer is a
The correlation between the ages of husbands and wives if men always married woman who were :
(a) 3 years younger than themselves
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.Therefore, the correct answer is a.
Learn more :
https://brainly.com/question/25160894?referrer=searchResults
PLS HELP WILL GIVE BRAINLIEST
How can parents that dont have a O blood type still have a O blood type baby???
Answers
Answer: While a child could have the same blood type as one of his/her parents, it doesn’t always happen that way.
Step-by-step explanation:
For example, parents with AB and O blood types can either have children with blood type A or blood type B. These two types are definitely different than parents’ blood types!
Samira used the calculator to find 254.3 × 2.5. Which statement best describes her work? Samira is correct. Samira is incorrect. The calculator should not give an answer that includes a decimal point. Samira is incorrect. The correct answer should only be about twice as much as 254.3, and the number on the screen is much larger. Samira is incorrect. The answer on the screen is not large enough to be the correct answer.
Answers
Answer:
A samira is correct
Step-by-step explanation:
Because she did her own expression right, now she has to solve
Answer:
the answer is c
Step-by-step explanation:
I used a caculator
What number is 16% of 46
Answers
Answer: 7.36
Step-by-step explanation:
16/100 = 0.16
0.16 * 46 = 7.36
What is the length of the line segments with endpoints (-9,5) and (12,5)
A. 12
B. 9
C. 21
D. 10
Answers
Answer:
The answer is C
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
You spent $*blank* this month.
Answers
Answer:
$45
Step-by-step explanation:
x=1.5(30)
x=45
write 5/6 - 7/9 in simplest form
Answers
9514 1404 393
Answer:
1/18
Step-by-step explanation:
18 is a suitable denominator for both fractions:
5/6 = 15/18
7/9 = 14/18
Then the difference is ...
5/6 -7/9 = 15/18 -14/18 = (15 -14)/18 = 1/18
Meg's Bakery sells the following items.
• one cinnamon roll for $2.50 or four for $10.00
• one pie for $12.50 or two pies for $22.00
• a dozen brownies for $9.00
A. Determine if there is a proportional relationship between cinnamon rolls and the cost of cinnamon rolls. If there is determine the unit rate.
Answers
Answer:
it is $2.50 multiplied by 4
Step-by-step explanation:
this is because for every 1 cinnamon roll it is $2.50 and if you multiply that by 4 you get $10, or how much it costs for 1 roll
Miguel ate 1/4 of a pizza in 1/2 of an hour. How much pizza will Miguel eat in one hour?
Answers
Answer:
he will eat 2/4 or 1/2 in 1 hour
Step-by-step explanation:
What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°
ANWSER
JK=104°
KIJ=52
Answers
Answer:
JK=104°
KIJ=52
Step-by-step explanation:
The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and ∠KIJ = 52°
What is the measure of the angles?
We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.
Angle KJI = arc KI/ 2
Thus;
Angle KJI = 116°/2
Angle KJI = 58°
Now by angle sum property of a triangle, we get:
∠ K + ∠ I + ∠ J = 180°
70° + ∠I + 58° = 180°
∠I = 52°
By using intercept formula, we get arc KJ;
∠JIK = arc JK/ 2
2(∠ JIK) = arc JK
2(52°) = arc JK
arc JK = 104°
Read more about measure of angles at; https://brainly.com/question/14362353
what is v
v−5/6=−7/8
Answers
Answer:
here,
v-5/6=-7/8
v=-7/8+5/6
v= -1/24
A proportional relationship between y and x When x5, ym
What is the constant of proportionality, K?
Enter your answer as a simplified or improper fraction in the box
k -
Answers
Answer:
-7/5
Step-by-step explanation:
Answer:
-7/5
Step-by-step explanation:
can someone help me on this
Answers
Answer:
1) Reflections just change the signs of the coordinates, so (1.5, -2) and (-1 and 1/2, 2) are reflections of each other. Also (1.75, -4) and (-1 and 3/4, 4)
2) From left to right: -1.75, -3/4, 1/4, 0.75, 1 and 1/2.
Remember that each 1/4 = 0.25, so this could help you work out fractions and decimals.
Answer:
First question answer: D Second Question answer: (lowest to highest) -1.75, -3/4, 1/4, 0.75, and 1 1/2
Step-by-step explanation: