Answer:
[tex]4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you[/tex]
Answer: c = -2
Step-by-step explanation:
Given
4 (3 + c) + c = c + 4
Expand parentheses and apply the distributive property
4 · 3 + 4 · c + c = c + 4
12 + 4c + c = c + 4
Combine like terms
12 + (4c + c) = c + 4
12 + 5c = c + 4
Subtract 12 on both sides
12 + 5c - 12 = c + 4 - 12
5c = c - 8
Subtract c on both sides
5c - c = c - 8 - c
4c = -8
Divide 4 on both sides
4c / 4 = -8 / 4
[tex]\boxed{c=-2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the reference angle for 283°?
Which numbers in set A = ( -7,-4, 2, 14, 21,34, 42) are elements of b and c, shown below? Set b= ( even numbers) set c: ( multiples of 7) enter answers from largest to smallest.
Answer:
(14, 42)
Step-by-step explanation:
(-4, 2, 14, 34, 42) are all elements of b, and (-7. 14, 21, 42) are all elements of c. (14, 42) are the only elements that are in both sets
María va de compras a una tienda departamental y adquiere los siguientes productos: 2 pantalones, 4 blusas, 3 pares de calcetas y 2 pares de tenis. El precio de los artículos por unidad es: pantalones $ 600.00, blusas: $350.00, calcetas: $120.00 y tenis: $ 950.00. Si María contaba con $5000.00, calcula cuánto dinero le sobró después de las compras realizadas.
Answer:
Pantalones = $600.00 × 2
$ 1,200.00
Blusas = $350.00 × 4
$ 1,400.00
Calcetas = $120.00 × 3
$ 360.00
Par de tenis = $950.00 × 2
$ 1,900.00
Total a pagar = $4,850.00
$5,000.00
- $4,860.00
Sobrante = $140.00
Write the equation of the line that passes through the points
(3,-2) and (6, 1).
y=x-5
y = 5x + 1
y = -x + 5
Answer:
It is y = x - 5
Step-by-step explanation:
General equation of a line:
[tex]{ \bf{y = mx + c}}[/tex]
m is the gradient, and c is y-intercept.
For gradient:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]
substitute:
[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]
m = 1
for y-intercept:
consider point (6, 1):
[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]
therefore:
[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]
2(k + 1) = -4(k - 2)
Answer:
1
Step-by-step explanation:
2(k + 1) = -4(k - 2)
2k + 2 = --4k+8
2k+4k=8-2
6k=6
k=6/6
k=1
A man is37years old and his child is eight.how many years ago was the product of their ages 96 as in quadratic equation step by step
Answer:
5 years
Step-by-step explanation:
Let x be the unknown numer of years ago when the product of the man and his child's age was 96.
》 x years ago, the man's age = 37 - x
the child's age = 8 - x
(37 - x)(8 - x) = 96
296 - 37x - 8x + x² = 96
x² - 45x - 296 - 96 = 0
x² - 45x - 200 = 0
x² - 5x - 40x - 200 = 0
x(x - 5) -40(x - 5) = 0
(x - 5)(x - 40) = 0
x = 5 years ago or x = 40 years ago
but x = 40 > son's present age.
Thus, x = 5.
Therefore, 5 years ago the product of the ages of the man and his child was 96.
if m<8= 23° find each measure.
straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )
m<8 = m< 6 = 23° [ Opposite angles]
m< 4 = m< 2 = 23°
m<8 + m< 5 = 180°
23° + m< 5 = 180°
m<5 = 180 - 23 = 157
m< 5 = m< 7 = 157° [ Opposite angles]
m< 1 = m< 3 = 157° [ Opposite angles]
straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )
So;m< 1 = 157m< 2 = 23m< 3 = 157m<4 = 23m< 5 = 157m< 6 = 23m< 7 = 157m< 8 = 23I hope I helped you^_^
How would I prove the congruency of these triangles?
Step-by-step explanation:
the radius cuts the segment into two equal parts because it is perpendicular to the chord
Answer:
Step-by-step explanation:
As O is the mid point of the circle
Similarly, B also becomes the mid point of the line AC.
So, line OB divides AB and BC equally.
Hence, lines AB = AC, but they are asking to prove congruency of triangles.
So, u have to join OA and OC.
Same way, line OB divides ∠OBA and ∠OBC.
So it is proved that AB = AC
Two-thirds a numberx plus 4 is 8.
Answer:
n = 6
Step-by-step explanation:
To solve this you can use an equation such as:
[tex]\frac{2}{3} n+4=8\\\\[/tex]
We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:
[tex]\frac{2}{3}n=4[/tex]
So now we divide both sides by 2/3.
This now equals:
[tex]n=6[/tex]
Using the graph, find the equation of the line in slope-intercept form.
What is the slope-intercept form of the equation of the line?
y =
Answer:
y = 2x + 2
BRAINLIEST, PLEASE!
Step-by-step explanation:
(-2, -2) (-1, 0)
y = mx + b (m = slope, b = y-intercept)
m = rise/run = change in y / change in x
change in y: +2
change in x: + 1
change in y/change in x = 2/1 = 2
m = 2, y = 2x + b
We can plug -1 in for x, and 0 in for y.
0 = 2(-1) + b
0 = -2 + b
b = 2
y = 2x + 2
Answer:
y = 2x + 2
Step-by-step explanation:
(−2x + 8) + (−8x^2− 8x)
Answer:
-8x^2 -10x + 8
Step-by-step explanation:
there is no multiplying just adding
someone help me asap
Answer:
19/20 cups
Step-by-step explanation:
Add the amounts together
1/4 + 7/10
Get a common denominator of 20
1/4 *5/5 + 7/10 *2/2
5/20 + 14/20
19/20
Answer:
19/20
Step-by-step explanation:
find a common denominator then do the same with the numerator then add.
Find the minimum value of the function:
f(x) = x2 + 9x – 16.
let h (x)= -x-18 find h (3)
Answer:
-21
Step-by-step explanation:
h(x) = -x-18
h(3) = -(3)-18 = -21
Answer:
[tex]h(3)=-21[/tex]
Step-by-step explanation:
One is given the following:
[tex]h(x) = -x - 18[/tex]
One is asked to find the value of ([tex]h(3)[/tex]). Substitute ([tex]3[/tex]) in place of ([tex]x[/tex]) and simplify to evaluate,
[tex]h(x)=-x-18\\\\h(3)=-(3)-18\\\\h(3)=-3-18\\\\h(3)=-21[/tex]
The square below represents a unit or a whole. What fraction is represented by the
during the movie fundraising event the concession stand at the auditorium sells popcorn fruit and drinks the price of a box of popcorn is 0.50 more than
Using the information in the exercise to develop the system of equations and using the substitution method, the following answers are found:
The system of the linear equations is P = F + 0.50, 2D = 3F - 0.50, and 2P + F + 3D = 7.75, where P = The price of a box of popcorn, D = The price of a drink, and F = The price of a piece of fruit. By other hand, the price of each item is: Popcorn = $1.50, Drink = $1.25, and Fruit = $1.
Solution of the system of equations by the Substitution Method.
Taking into account the information given in the exercise, we can write the next equations:
P = F + 0.502D = 3F - 0.502P + F + 3D = 7.75Where:
P = The price of a box of popcorn.D = The price of a drink.F = The price of a piece of fruit.Since all equations have the variable F, we are going to use it as a key variable to represent the other variables in terms of F.
In the first equation we should not do anything, since P is in terms of F, in the second case the variable D is also in terms of F, but we need to find the value of just D, by this:
2D = 3F - 0.50D = (3F - 0.50) / 2D = 1.5F - 0.25We proceed to substitute the first and second equations in the third equation:
2P + F + 3D = 7.752 (F + 0.50) + F + 3 (1.5F - 0.25) = 7.75And we solve for the variable F:
2F + 1 + F + 4.5F - 0.75 = 7.757.5F + 0.25 = 7.757.5F = 7.75 - 0.257.5F = 7.5F = 7.5 / 7.5F = 1Now, we can solve for the variable D with the second equation:
2D = 3F - 0.502D = 3 * (1) - 0.502D = 3 - 0.502D = 2.5D = 2.5 / 2D = 1.25Finally, we can solve for the variable P with the first equation:
P = F + 0.50P = 1 + 0.50P = 1.50So, we have the price of each item:
Popcorn = 1.50Drink = 1.25Fruit = 1If you want to see another exercise solved by the substitution method, you can see this link: https://brainly.com/question/22340165?referrer=searchResults
Margot draws a shape with one pair of parallel lines that are four centimeter apart she then flips the shape across a horizontal line how many pairs of parallel lines are on the flipped shape?
Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.
We can define two parallel lines as two lines that never meet.
And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:
(x, - y)
And all the reflections across horizontal lines will only affect the y-value of the points.
Now, particularly, we have two vertical and parallel lines.
Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.
From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.
If you want to learn more, you can read:
https://brainly.com/question/15627170
If 2 – x > x – 2 then the solution of x is
[tex]\\ \sf\longmapsto 2-x\gt x-2[/tex]
[tex]\\ \sf\longmapsto 2+2\gt x+x[/tex]
[tex]\\ \sf\longmapsto 4\gt 2x[/tex]
[tex]\\ \sf\longmapsto x\lt \dfrac{4}{2}[/tex]
[tex]\\ \sf\longmapsto x\lt 2[/tex]
What is the domain in roster notation(numerical order) x= -2,-1,1,3,3 y=3,-3,0-3,3
Answer:
Domain is {x|x = -2, -1, 1, 3}
Step-by-step explanation:
I. When domain is x.value and renge is y.value
Got more question or something to discuss? leave comment below
PLS HELP WILL MARK AS BRAINLIEST
Answer:
SEE THE IMAGE FOR SOLUTION .
HAVE A GREAT DAY
Answer:
11. D
12. C
13. D
14. B
15. E
Step-by-step explanation:
11.
1/3 + 1/2 = 2/6 + 3/6 = 5/6
A is 3/4
B is 2/3
C is 9/10
D is 4/5
E is 2/5
the closest to 5/6 is 4/5.
12.
this is totally easy. just simply additions and one subtraction (to see what is left).
8+10+9 = 27
so, he has
60 - 27 = 33 hours left
13.
the mean value of a series of equal weighted numbers is simply their sum divided by the amount of numbers.
so,
(2+5+3+6+4)/5 = 20/5 = 4
14.
a scale factor is always applied to all dimensions, otherwise the result will be distorted. and that would be especially bad for a map.
so, clearly the width of the larger map is 3 times the width of the smaller map. therefore, the length of the larger map has to be also 3 fine the length of the smaller map.
3×6 = 18
15.
3t - 10 = 8
3t = 18
t = 6
when a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part
Answer:
40 and 60
Step-by-step explanation:
Sum of ratio=2+3
sum of ratio=5
Share of part 2=2/5*100
share of part 2=40
Share of part 3=3/5*100
share of part 3=60
Note:if you need to know any question please let me know.
b. (x + 3)(x^2 – 3x + 27 )=
(x+3)(x^2-3x+27)
x^3-3x^2+27x+3x^2-9x+81
x^3+19x+8
FACTORIZA COMPLETAMENTE LA SIGUIENTE EXPRESION ALGEBRAICA.
1 - n6 =
Answer:
-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).
Step-by-step explanation:
1 - n^6 = (1 - n^3)(1 + n^3)
1 - n^3 = -(n -1)(n^2 + n + 1) and
1 + n^3 = (n + 1)(n^2 - n + 1)
So Substituting we have:
-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)
The image of the point (3, -5) under a translation is (8, –4). Find the coordinates
of the image of the point (-4, -6) under the same translation.
how long does it take jesse to accelerate from rest in his car to a velocity of 180 km/h if the car accelerates at 15 km/h/s
Answer:
I think answer is 195.Is it right make me a braillent
student.
Year8 Maths(Angles)
Help me plz!!
Step-by-step explanation:
a 360/9 = 40
b 2/9 × 360 = 80
c similarly 160
d 400
What is a dichotomous key?
a tool that allows scientists to measure how much glucose is produced by plants
a tool that allows for the identification of an organism based on a series of paired statements that are based on characteristics
a tool that is used to predict the types of offspring produced when two plants are crossed
a tool that is used to measure the height of a plant
How do you write 0.583 as a fraction?
Please mark me brainliest
0.583 583/1000 58.3%
lines of latitude also called parallels do what
Answer:
Hi, there!
Lines of latitude are also called parallels because they never touch one another.
Step-by-step explanation
Circles of latitude are often called parallels because they are parallel to each other; that is, planes that contain any of these circles never intersect each other:
What is the area of a triangle if height is 4cm find the base also plsss help me please
Answer:
This is the formula u can use but the parameters are not complete
Step-by-step explanation:
b=2 A/h
Answer:
8 cm^2.
Step-by-step explanation:
Area = 1/2 * base * height
= 1/2 * 4 * 4
= 8.
