Answer:
y = -1/2x - 4
Step-by-step explanation:
Let equation of line u be y = mx + c
since line t and line u are parallel, slope/gradient of both lines are the same (aka m = -1/2)
sub (4, -6):
-6 = -1/2(4) + c
c = -4
therefore, equation of line u is y = -1/2x - 4
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
The following information is known about a savings account. What amount of simple interest will be earned?
Answer:
what is you exact question?
Simplify this expression using the distributive property
Answer:
When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.
Step-by-step explanation:
[tex]\huge\boxed{\bold{\mathfrak{Hello\;there!}}}}}[/tex]
The Distributive Property states that
[tex]\dashrightarrow[/tex] [tex]\bold{a(b+c)=ab+ac}[/tex]
[tex]\dashrightarrow[/tex] We multiply a by b and c, and then add the two products.
Example:
[tex]\dashrightarrow[/tex] [tex]\bold{10(x-3)}[/tex]
[tex]\dashrightarrow[/tex] [tex]\bold{10x-30}[/tex]
[tex]\bold{I\;really\;hope\;it\;helps\;you!}[/tex]
[tex]\rm{Have\;a\;great\;day![/tex]
[tex]\boxed{AmiableTeen:)}[/tex]
A speed skater completers a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compair? Find the number of meters a speed skater and a cheetah travel in one second.
A speed skater travels ___ meters per second.
A cheetah travels ___ meters per second.
Answer:
A speed skater travels 12.5 meters per second
A cheetah travels 26 meters per second
Step-by-step explanation:
To find their speeds, divide the number of meters by the number of seconds:
Speed skater:
500/40
= 12.5 meters per second
Cheetah:
260/10
= 26 meters per second
So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.
A. 5.8 m
B. 5.7 m
C. 5.2 m
D. 5.3 m
Answer: D. 5.3 m
Step-by-step explanation:
The ladder leaning against the wall causes it to forma right angle.
The right angle has two sides , which is the two legs, and the hypotenuse.
Using the formula a^2 + b^2 = c^2 , a and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m and the ladder which is 5.5 m will be the hypotenuse.
Input the values for a and c to sole for b using the formula.
1.5^2 + b^2 = 5.5^2
2.25 + b^2 = 30.25
-2.25 -2.25
b^2 = 28
b = [tex]\sqrt{28}[/tex]
b = 5.2915 rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.
Height of top of ladder above the ground that is resting on the wall, correct to one decimal place is 5.3 m
hence option D is correct.
According to Pythagoras theorem
In a right triangle
[tex]\rm H^2 = P^2 + B^2[/tex]
[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]
In the given situation the the ladder forms the right triangle with the wall
Length of the ladder = 5.5 m
Length of the base of ladder from the wall = 1.5 m
Let K be the height of top of ladder above the ground that is resting on the wall.
Hence from equation (1) we can write
[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex] m
Height of top of ladder above the ground that is resting on the wall, correct to one decimal place is 5.3 m
hence option D is correct.
For more information please refer to the link given below
https://brainly.com/question/16426393
can you solve 1 2/3 x 1 1/4
Answer:
25/12 or 2 1/12
Step-by-step explanation:
calculator
10x=6x-24
help!!!! me pleasee!!
Answer:
x = -6
Step-by-step explanation:
10x = 6x - 24
Subtract 6x from both sides.
4x = -24
Divide both sides by 4.
x = -6
I will give brainliest! Please help!!
Please help me with this problem!!! I have been trying to figure it out for the past hour and I still can’t figure it out. Thanks for your help and have a nice day!!!
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[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]
[tex] {6}^{11} \times {6}^{ - 5} = [/tex]
[tex] {6}^{11 - 5} = [/tex]
[tex] {6}^{6} [/tex]
Thus ;
[tex] {6}^{[6]} \\ [/tex]
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I need help On This !!!!!!!!
Answer:
Step-by-step explanation:
L'= 3, -3 M'= -3, -6 N'= -3, 3
In a class of 50 students, 40% are girls. Find the number of girls and number of girls in the class.
Answer:
20 girls.
Step-by-step explanation:
40% * 50
= 20
Hope this helped!
А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°
Answer:
34 degrees
Step-by-step explanation:
If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)
Step 1.CBD + ABC = ABD
Step 2. Substitute
30 + ABC = 64
Step 3. Isolate ABC
34 = ABC
ABC is 34 degrees
9514 1404 393
Answer:
34°
Step-by-step explanation:
It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)
∠ABC + ∠CBD = ∠ABD
∠ABC + 30° = 64°
∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation
Express Jenny's age in terms of a if jenny is three years less than half of Anne's age
Express Fraz's age in terms of a if Fraz is twice the sum of Anne's age and 7
what is the value of this expression below when w=10 and x=7
10w-7x
Answer:
=51
Step-by-step explanation:
10w - 7x
10(10) - 7(7)
100 - 49
=51
what is the slope of (4,9)
Answer:
hope it helps..
Step-by-step explanation:
Using the slope-intercept form, the slope is 0 .
Describe the products made by the process of cellular respiration.
Step-by-step explanation:
The product is carbon dioxide and water
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x – 4
h(x) = three-quartersx
h(x) = one-quarterx
By definition, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.
Definition of inverse functionThe inverse or reciprocal function of f(x) is called another function f⁻¹(x) that satisfies: If f(x)=y , then f⁻¹(y)=x.
To build or calculate the inverse function of any function, one of the ways to do it is to interchange the variables x and y, and use a combination of algebraic methods in order to isolate the variable "y".
Inverse of f(x)=4xBeing f(x)=y=4x, to calculate the inverse, in first place you interchange the variables x and y:
f(y)=x=4y
Isolating the variable y, you get:
h(x)=x÷4= [tex]\frac{1}{4}[/tex]x
Finally, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.
Learn more about the inverse of a function:
https://brainly.com/question/13799722
Travis Jamison earns $42,500 annually as a new staff attorney.
He is single. The state tax rate in his state is 3.5% of taxable
income. What amount is withheld from his monthly pay for
state income tax?
Answer:
The answer would be 8
Answer:
The amount withheld is 8
Please help me answer number 12
Answer:
It is same.
The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.
Thank you and please rate me as brainliest as it will help me to level up
Find the mean absolute deviation of the set: 10,5,7,14,19,32,25
Answer: I believe it would be 8.
Step-by-step explanation:
What would the graph of x > 5 look like?
Answer:
It will look like this
What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 18 x 17? 100, 80, 70, 15 10, 80, 70, 56 100, 80, 70, 56 100, 80, 7, 56
Answer:
100, 70, 80, 56
Explanation:
Look at attached image!
In the 2 x 2 array, the sum of all squares is 18 x 17 = 306.
The number in the 4 sections are 100, 80, 70, and 56.
A 2 x 2 array that shows the problem 18 x 17.
2 x 2 array has four blockers or magic quadrants, the matrix diagram is a simple square divided into four equal quadrants.
18 = 10 +8
17 = 10 +7
18 x 17 = 306
In the 2 x 2 array : 100+80+70+56 = 18 x 17 = 306
Therefore, In the 2 x 2 array, the sum of all squares is 18 x 17 = 306.
For more information:
https://brainly.com/question/19066491
Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost
Answer:
$26 dollars
Step-by-step explanation: when you divide 156 divided by 6 you get 26
Answer:
26 dollars per ticket
Step-by-step explanation:
156/6=26
26x6=156
Find the length of AD
Answer:
What is the length of the BC line? It is not clear in the figure
Answer:
x=1
Step-by-step explanation:
as the two triangles are similar
So the equation is
5+x/12=5/10
50+10x=60
10x=60-50
10x=10
x=10/10
therefore
x=1
What is the slope of the line in the graph?
Answer:
1/2
Step-by-step explanation:
went up one across two. rise over run y over x
Answer:
1/2
Step-by-step explanation:
(05.01)
The graph of a system of equations with the same slope and the same y-intercepts will
have no solutions. (1 point)
O Always
Sometimes
O Never
Help ASAP
Answer:
Always
Step-by-step explanation:
Answer:
never.
Step-by-step explanation:
Can someone please help me with this question?!
Answer:
-5
Step-by-step explanation:
The slope is given by
m= ( y2-y1)/(x2-x1)
= ( 0-10)/(2-0)
= -10/2
= -5
How many ? Help me as soon as possible
Answer:
3 meters
Step-by-step explanation:
Distance covered in 1 second
[tex] = \frac{7.5}{2.5} \\ \\ = 3 \: m[/tex]
the product of two rational numbers is -14/45. If one of the no. is -7/9 find the other no.
pls pls i want this ans. fast
Answer:
its 2/5
Step-by-step explanation:
-7/9 x 2/5 = -14/45
Answer:
14.45/7.9=1.82...this is your answer
solve the equation
pls help
The following graph represents the cost and revenue functions for custom-made computers. How many computers
have been sold at the break-even point?
a 12
b 9
C 5
d. 0
Answer:
A. 12
Step-by-step explanation: