Given:
A line is perpendicular to the line [tex]y=\dfrac{7}{2}x-13[/tex].
The line passes through the x-axis at 21.
To find:
The equation of the line in slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
The given line is:
[tex]y=\dfrac{7}{2}x-13[/tex]
So, the slope of this line is [tex]\dfrac{7}{2}[/tex].
The product of slopes of two perpendicular lines is -1.
Let m be the slope of required line. Then the slope of the required line is:
[tex]m\times \dfrac{7}{2}=-1[/tex]
[tex]m=-\dfrac{2}{7}[/tex]
The line passes through the x-axis at 21. It means the line passes through the point (21,0). So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-0=-\dfrac{2}{7}(x-21)[/tex]
[tex]y=-\dfrac{2}{7}(x)-\dfrac{2}{7}(-21)[/tex]
[tex]y=-\dfrac{2}{7}x+6[/tex]
Therefore, the equation of the required line is [tex]y=-\dfrac{2}{7}x+6[/tex].
A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle.
What is the length of the rectangle?
0.75 units
1.5 units
3 units
6 units
Answer:
6 units
Step-by-step explanation:
The formula for the area of a rectangle = Length × Width
A rectangle’s width is one-fourth of its length.
W = 1/4 × L
W = L/4
Cross Multiply
L = 4W
A = 9 square units
Hence
9 = L × W
We substitute 4W for L
9 = 4W × W
9 = 4W²
We square root both side
√9 = √4W²
3 = 2W
W = 3/2
W = 1 1/2 unit or 1.5 units
Solving for L = Length
9 = L × W
9 = L × 1.5
L = 9/1.5
L = 6 units
Therefore, the Length of the rectangle = 6 units
PLEASE HELP RATIONAL EQUATIONS
What value of x makes the following equation true? Show your work.
2/3x+4=22
Answer:
27
Step-by-step explanation:
2/3x27=18
18+4=22
Answer:
2/3x=22-4
2/3x=18
X=18*3/2
X=9*3
therefore X =27...
hope it helps
265.6 is what percent of 256 rounded to the nearest tenth
Answer:
103.75 %
Step-by-step explanation:
[tex] \frac{265.6}{256} \times 100[/tex]
Take 265.6 and divide it by your original number of 256. Now multiply this resultant by 100 to see your final answer rounded to the nearest 10th.
Answer:
256:265*100 =
(256*100):265 =
25600:265 = 96.6
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 265 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=265$100%=265.
Step 4: In the same vein, $x\%=256$x%=256.
Step 5: This gives us a pair of simple equations:
100%=256(1)
x%=256(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%);
100%/x% = 256/256
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100%=256/256
-->x=96.6%
Therefore, 256 is 96.6% of 265
please help i’ll give brainliest
Answer:
1st option
Step-by-step explanation:
Thats a weird problem tho,
-Gage Millar, Algebra 2 tutor
solve (4*3) + 2 , how are you all , freeee points
Step-by-step explanation:
hope it is helpful to you
Answer:
14 is the answer.
Step-by-step explanation:
(4 × 3) + 2 = ?
→ (4 × 3) + 2
→ 12 + 2 = 14
resolucion de ese ejercicio por favor
Answer:
what?
Step-by-step explanation:
..................................................
solve for A no links
Answer:
71.1 degrees
Step-by-step explanation:
The side opposite angle A is 35 and that adjacent to angle A is 12. The trig function that connects A and these two sides is
tan A = (opp) / (adj)
which here is
tan A = 35/12. Find A using a calculator's arctan function:
arctan 35/12 = 1.25 radian or 71.1 degrees.
HELP
I will mark brainliest just answer quick
please help me with this math question please I'm giving away brainliests
Answer:
DOMAIN : R/2
RANGE : R/5
VERIT TRANS =2
HORIZ TRANS =5
Step-by-step explanation:
test worth 75 points; test score 96% write a proportion
Answer:
72
Step-by-step explanation:
Answer:
the radius is 7
Step-by-step explanation:
In \triangle VWX,△VWX, \angle X \cong \angle W,∠X≅∠W, WX = 18WX=18 and VW = 16VW=16. Find the length of XV.XV.
Answer: 16
Step-by-step explanation:
85 orders in 17 days = ? orders in 12 days
Answer:
60
Step-by-step explanation:
Let the order be x
Solution
85/x= 17/12
1020=17x
1020/17=x
x=60
Which pair of triangles can be proven congruent by SAS?
Third pair of triangles is congruent by SAS.
What is congruency?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.
In the third pair, this rule is visible. Two pair of sides are equal to each other and the angles formed at the common vertex of the two sides are equal. Hence, the two triangles are congruent by SAS.
Learn more about congruency here
https://brainly.com/question/7888063
#SPJ2
Which piecewise relation defines a function?
x², X<-2
O y=0, -2
-X?. x24
x² xs-2
O y =
4, -2
x2 +1, x22
(-3x, X<-2
O y =
3, 0
2x, x4
(-3x, XS-4
O y= 3, -5
The piecewise relation which defines a function is option B.
What is a function?A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable.
The types of function.In Science, there are different types of functions and these include the following;
Periodic functionInverse functionModulus functionSignum functionPiece-wise defined functionA piecewise-defined function refers to a type of function that is defined by two (2) or more mathematical expressions (equations) over a specific domain. As an example, we have:
[tex]F(x)=\left \{ {{x^3-4} \atop {x+3}} \right.[/tex]
Read more on function here: https://brainly.com/question/4246058
How do I solve this without it giving me an actual inequality? It’s just the graph and possible solution...
Answer:
B and CStep-by-step explanation:
Looking at the graph we can see that:
(1, 5) - lies on the border line, no(1, 0) - in the shaded region, yes(4, 2) - in the shaded region, yes(-1, 5) - lies outside of the shaded region, no(-4, 1) - lies outside of the shaded region, noAnswer:
D.
Step-by-step explanation:
Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!
Vertie rode 3.5 kilometers on a bike. His friend Valene rode 2 000
meters on a bike.
How much farther in kilometers did one person ride than the other?
Answer:
1.5
Step-by-step explanation:
Vertie rode 3.5 kilometers on a bike. His friend Valene rode 2 000
meters on a bike. 1.5 kilometers farther one person ride than the other.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Vertie rode 3.5 kilometers on a bike. His friend Valene rode 2 000
meters on a bike.
We know that
one kilometer = 1000 meters
or
1 meter = 1/1000 km
2000 meter will be equal to
2000/1000 = 2 km
So, the difference between the ride of the friends would be
3.5 km - 2 km
= 1.5 km
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
y = 5x^2 - 10
what is the rate of change ?
is the function linear or non linear ? why ?
Answer:
Step-by-step explanation:
Are you in Calculus? These are calculus concepts!
To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"
If you know calculus: The 'rate of change' on the interval (a, b) is
f(b) - f(a)
r. of c. = --------------------
b - a
Have you used this formula before?
Because of the 'x^2' term this is NOT a linear function.
If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.
HELPPPP PLEASEEEEEEEEE
Answer:
i have no idea
Step-by-step explanation:
how do you turn 20 into a fraction?
Step by step explaination
Answer:
20 can work as an improper fraction, like 20/1. or you can de-simplify it or whatever it's called and make it like 40/2 or 80/4. Hope this helps. :)
Step-by-step explanation:
p
The answer is [tex]\frac{40}{2}[/tex] or [tex]\frac{60}{3}[/tex]
----------------------------------------
[tex]\frac{20x2}{1x2}[/tex]= [tex]\frac{40}{2}[/tex]
[tex]\frac{20x3}{1x3}[/tex]= [tex]\frac{40}{3}[/tex]
(hope this help you :D)
What would be the reason?
Answer:
For what comment it and ill answer
Step-by-step explanation:
Answer:
The reason for what?
Nothing else is here.
The radius of a circle is 25 centimeters.
.Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth
Answer:
157.08
Step-by-step explanation:
The formula for circumference is 2πr.
2πr = 2π25 = 50π = 157.079 = 157.08
GIVING 30 PONTS!! PLEASE ANSWER ALL 4!! NO LINKS
Answer:
See below
Step-by-step explanation:
The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.
1. The measure of arc AD is [tex] \boxed {105}\degree [/tex]
2. The measure of arc ABC is [tex] \boxed {205}\degree [/tex]
3. The measure of arc ADB is [tex] \boxed {190}\degree [/tex]
4. The measure of arc BD is [tex] \boxed {85}\degree [/tex]
Split £180 into a 7 : 5 ratio
The splitted bill of £180 into a 7 : 5 ratios are £105 and £75 respectively.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A bill has to be split £180 in the ratio of 7 : 5.
∴ One part is (7/7 + 5)×180.
= (7/12)×180.
= 105.
Another part is (5/7 + 5)×180.
= (5/12)×180.
= 75.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ2
What is the angle of depression from the top of a 400-fc foot cable that runs from a towel to a point 325 feet away
mellany had 29 peaches left at her roadside food stand she went to the orchard to pick more peaches how many peaches does she have now
Answer:
Not enough info
Step-by-step explanation:
They don't tell us how many peaches she picked
11) Solve for X. (round to nearest tenth)
this trangle is square angle trangle 90
19+24=43
90-43=47 answer is 47
Answer:
tan 24 degrees = perpendicular/ base
tan 24= x/19
0.445= x/19
0.445×19 = x
x = 8.445, answer
In February, Ronald. Read a book that was 98 pages long. In March, he read a book that was 124 pages long. In April, he read a book that was 208 pages long. How many pages did Ronald read in February, March and April?
Answer:
430
Step-by-step explanation:
You add 98+124 which is 222 then add it plus 208 which is 430
Answer:
the answer is 430 books for 3 months
Please help me pretty please
Answer:
28.6
Step-by-step explanation:
Pathagorem therom
PLS HELP ME ON THIS , WILL MARK BRAINLIEST
Answer:
The answers are no, no, yes, no