Answer:
The coordinates of point p are:
x = -3.2
y = 9.6
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:
a = (3 - 5)/(10 - 6) = -0.5
Then this line will be something like:
y = -0.5*x + b
To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:
x = 6
y = 5
Then we get:
5 = -0.5*6 + b
5 = -3 + b
5 + 3 = b
8 = b
Then the equation for line L1 is:
y = -0.5*x + 8
Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)
Then line L2 has a slope equal to -3
y = -3*x + b
And we know that this line passes through the origin, (0, 0)
Then if we replace the values of that point in our equation, we get:
0 = -3*0 + b
0 = b
Then line L2 is:
y = -3*x
Then our two lines are:
y = -0.5*x + 8
y = -3*x
Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:
-0.5*x + 8 = y = -3*x
-0.5*x + 8 = -3*x
now we can solve this for x.
-0.5*x + 8 = -3*x
8 = -3*x + 0.5*x
8 = -2.5*x
8/-2.5 = x = -3.2
Now we need to evaluate one of the lines on this value, i will use line L2
y = -3*(-3.2) = 9.6
Then we can conclude that the lines do intersect in the point:
x = -3.2
y = 9.6
this point is written as: (-3.2, 9.6)
The diagram shows rectangle rstu with two diagonals drawn. To find the value
Answer:
Step-by-step explanation:
b
Plz hurry
What is the measure of each angle?
40 points!!!!
Answer:
you didnt add a picture so im taking the points <3
Step-by-step explanation:
I would help if you provided more information
I NEED HELP FAST PLEASE !!!!!!!!!!! The grade of a hill steepness represented as a percent. Jim tracks his walking speed up different hills. What does the rate of change , or slope , represents in this situation a= the rate represents an increases in speed for each 1% b= the rate represents a decrease in speed for 1% grade c = the rate represents a decrease in speed for each 1% grade increase D= the rate represents no change in speed for each 1% grade decrease
Answer:
C
Step-by-step explanation:
slope=walking speed /%
negative slope
so that rules out a and d
and you can see that as the percent increases the speed decreases.
so I think It would be C.
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
The sum of the ages of two brothers is 37.7 years. The older brother is
7.9 years older than the younger brother. The line graphed on the
coordinate grid represents the first of two equations in a system of linear
equations that can be used to find their ages.
If the second equation is x+y=37.7 , which value is closest to x, the age of the older brother in years?
a. 8
b. 15
c. 23
d. 30
Answer: 15
Step-by-step explanation: because 7.5 is in the middle of 5 and 10 and it goes straight down to 15
solve the equation 1/2y + 4=2
In AABC, AB = AC and measure of ZABC is 41°. The measure of ZBAC is
degrees.
Answer:
Cant see the pic
Step-by-step explanation:
Which table has a constant of proportionality between y and x of 4?
Answer:
A
Step-by-step explanation:
because if the COP is 4, table A is the only one that has 4
Across what line of reflection was the angle reflected in the coordinate plane below?
Answer:
Let us revise the reflection
If point (x , y) reflected across the x-axis, then its image is (x , -y)
If point (x , y) reflected across the y-axis, then its image is (-x , y)
If point (x , y) reflected across the line y = x, then its image is (y , x)
If point (x , y) reflected across the line y = -x, then its image is (-y , -x)
∵ Point A (-5 , 8) is reflected across the line y = x
∵ If point (x , y) reflected across the line y = x , then its image is (y , x)
∵ x = -5 and y = 8
- Switch x and y
∴ The image of point A is A' = (8 , -5)
Simplify the expression by combining all the like terms 6+2x+5+4x
Answer:
6x+11
Step-by-step explanation:
6+2x+5+4x
4x+2x+6+5
(4x+2x)+(6+5)
6x+11
Answer:
6x +11
Step-by-step explanation:
group like terms (terms with the same variable and powers) together
(2x+4x) + (6+5)
6x +11
In triangle EFG, the measure of angle E is 97 and the
measure of angle Fis 15° What is the measure of angle G?
By using triangle sum theorem in triangle EFG, measure of the unknown angle ∠G will be 68°.
Calculations for the measure of angles in a triangle:
Measures of the angles in a triangle has been given as,
m∠E = 97°
m∠F = 15°
By triangle sum theorem,
m∠E + m∠F + m∠G = 180° (Sum of interior angles of a triangle is 180°)
97° + 15° + m∠G = 180°
m∠G = 180 - 112
m∠G = 68°
Therefore, measure of the third angle (∠G) of ΔEFG will be 68°.
Learn more about the interior angles of a triangle here,
https://brainly.com/question/22967199?referrer=searchResults
add: 3xy -40xy + x (2+y)
Answer:
x (y + 2) - 37 x y
Step-by-step explanation:
2 x (1 - 18 y)
-2 x (18 y - 1)
x (2 - 36 y)
Expanded form:
2 x - 36 x y
Roots:
x = 0
y = 1/18
Properties as a function:
Domain
R^2
Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volume of the card box?
The question is incomplete :
The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4
Answer:
192 unit³
Step-by-step explanation:
The volume of the card box :
Recall the volume of box formula :
V = length * width * height
Volume = 8 * 6 * 4
Volume = 192 unit³
This is the procedure for any given dimension of the card deck.
Answer:
5 5/6 cu in
Step-by-step explanation:
Find f^-1(x) where
f(x) = 3x + 2 / x
Answer:
denoted interchange solve
Step-by-step explanation:
y= (2-x)/3 Let f(x) be denoted by y, thus y= -3x+2 Now interchange x and y, it becomes x= -3y+2 Solve for y, y= (2-x)/3 This is f^(-1) x
Jamila buys a pair of shoes for $22. She pays sales tax of 6.5% on the cost of the shoes. How much is the total cost of her shoes?
Answer:
23.43
Step-by-step explanation:
22 + 6.5% = 23.43
How many proportional relationships are shown in the coordinate plane below?
Answer:
The answer is A) There are no proportional relationship
Step-by-step explanation:
The green line does not go through the origin and it is curved. This is not a proportional relationship.
Problems: It does not go through 0,0 and it is curved.
----------------------------------------------------------------------------------------------------------------
The blue line may go through the origin but it is curved. This is not a proportional relationship.
Problem: It is curved.
----------------------------------------------------------------------------------------------------------------
The purple line does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
can someone answer my question????? pls this is already missing i’ll give brainlist and points don’t ignore
Factorise
21x squared - 14x
Answer:
7x(3x - 2)
Step-by-step explanation:
[tex]21 {x}^{2} - 14x \\ \\ = 7x(3x - 2)[/tex]
Find the sum (7b -4) + (2b+ a + 1)
Answer: (9b + a - 3)
Step-by-step explanation: Good luck! :D
Answer:
a=9b-3
Step-by-step explanation:
Which expression has a solution of 6, if r=4
r+2
Explanation:
because if we add 2 to r which is equal to 4 we can get 6
In a fruit punch you mix 150 ml of lemonade with 250 ml of fruit juice. Write the ratio of the volume of lemonade to the volume of fruit juice. Give your ratio in its simplest form.
Answer:the ratio of the volume of lemonade to the volume of fruit juice in simplest form = 3:5
Step-by-step explanation:
Volume of lemonade in the mixture = 150ml
Volume of fruit juice in the mixture = 250ml
Ratio of the volume of lemonade to the volume of fruit juice= 150ml: 250ml
and reducing to the simplest form , we have
150:250
dividing both by 10 gives
15:25
dividing both by 5 gives
3:5
Therefore the ratio of the volume of lemonade to the volume of fruit juice in simplest form = 3:5
can someone help I will give the brainliest Plz help u will get 50 points
Answer:
B.) 6
2.) 70
3.) 56
Step-by-step explanation:
B.) 2(6) - 6
= 12 - 6
=6
2.) 7(2(3)+4)
=7(6+4)
=42+28
=70
3.) 10(3) + 4(3) + 14
= 30 + 12 + 14
= 42+14
=56
Have a wonderful day
:)
In which diagram do <1 and <2 appear to be vertical angles?
If an item has an original price of $65, but is discounted 20%. What is the total cost after sales tax (.0825)?
Answer:56.29$
Step-by-step explanation:
65 x .80 = 52
52 x 1.0825 = 56.29
<Brainliest is appreciated!>
Answer:
$56.29
Step-by-step explanation:
Original price = $65
discount = 20%
hence discounted price = 100% - 20% = 80% of the original price
discounted price = 80% x $65 = $52
sales tax rate = 0.0825 (i.e 8.25%)
amount of sales tax paid
= 0.0825 x discounted price
= 0.0825 x $52
= $4.29
Final cost
= discounted price + sales tax
= $52 + $4.29
= $56.29
True or False: 3D figures have volume.
Answer:
True
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-8,4) and (-4, -8).
Answer:
y = 1/3x
Step-by-step explanation:
what is x + 5?? need help
Answer:
you have to solve for x
Step-by-step explanation:
watch a video
Anybody can help me for BRAINLIST ? 6th grade math .. plz help
Answer:
B)
Step-by-step explanation:
If this answer helped you then please consider making this brainliest and thank this response :)
Answer:
I think.
it is c I am not really sure
Quadratic Equations and Functions - Part 2
Graphing Quadratics Using a Table
Independent Practice
1. A model rocket was launched from a podium 5 meters above ground at a
initial velocity of 98 m/s. The function that models height (in meters) with
respect to time (in seconds) is h(t) = 5 + 98t – 4.9t2.
Part A: Complete the table below.
Time (seconds)
0
5
10
15
20
Elevation (feet)
5
Answer:
See below
Step-by-step explanation:
Given function
h(t) = 5 + 98t – 4.9t²Part AFilling in the table using the function, substitute t for each line:
time | elevation
0 | 5
5 | 372.5
10 | 495
15 | 372.5
20 | 5
Part BThe graph is attached
When the ball hits the ground, the height is 0. Substitute 0 for
h
.
h
=
−
16
t
2
−
10
t
+
200
0
=
−
16
t
2
−
10
t
+
200
−
16
t
2
−
10
t
+
200
=
0
This equation is difficult to solve by factoring or by completing the square, so solve it by applying the Quadratic Formula,
x
=
−
b
±
√
b
2
−
4
a
c
2
a
. In this case, the variable is
t
rather than
x
.
a
=
−
16
,
b
=
−
10
, and
c
=
200
.
t
=
−
(
−
10
)
±
√
(
−
10
)
2
−
4
(
−
16
)
(
200
)
2
(
−
16
)
Simplify. Be very careful with the signs.
t
=
10
±
√
100
+
12800
−
32
=
10
±
√
12900
−
32
Use a calculator to find both roots.
t
is approximately
−
3.86
or
3.24
.
Consider the roots logically. One solution,
−
3.86
, cannot be the time because it is a negative number. The other solution,
3.24
seconds, must be when the ball hits the ground.
Answer
The ball hits the ground approximately
3.24
seconds after being thrown.
Which expression is equivalent to (4~6.44+
Answer:
700000-33
Step-by-step explanation:
gimmie a like ding for b+