Answer:
x = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )
4x - 1 = 2(x + 7) ← distribute
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = [tex]\frac{15}{2}[/tex]
A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be the area, in square inches , of the new rectangle in terms of x
Answer:
Option (4)
Step-by-step explanation:
Area of a rectangle = Length × width
If the dimensions of the given rectangle is doubled,
Area of the new rectangle = 2(Length) × 2(width)
= 4(Length × width)
= 4(x)(x - 2)
= 4[x² - 2x]
= 4x² - 8x
Therefore, Option (4) will be the correct option.
Please show how u got your answer
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
Answer:
131.25 miles
Step-by-step explanation:
if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.
7th grade
HELP MEEEE!
due today
Answer:
A.
Step-by-step explanation: Because as you see the dot is past the 2 and is on the third line out of 4, the 4th line is the next number.
can you guys help me please the things are
A
B
or C
Answer:
I don't really know about this sorry sorry
Answer:
✨ B
Step-by-step explanation:
✨Hope this helps✨
In the figure above, AB = AD, BC = CD, BE = 2, BC = 4, and AC = 10. What is the area of triangle ABD?
The properties of items in a question can be used to simplify the solution to the questions
The area of triangle ΔABD is 20 - 4·√3
The reason the above value for the area of ΔABD is correct is as follows:
The given parameters are;
AB = AD, BC = CD, BE = 2, BC = 4, AC = 10
Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite
∴ AC is perpendicular to BD by properties of the diagonals of a kite
ΔBCE is a right triangle
By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²
Which gives;
[tex]\overline{CE}[/tex]² = 4² - 2² = 12
[tex]\overline{CE}[/tex] = 2·√3
Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;
BD = BE + DE, where BE = DE definition of bisected line
∴ BD = BE + BE = 2·BE
Area of a triangle = (1/2) × Base length × Height
AE = The altitude (height) of the ΔABD = AC - CE
∴ AE = 10 - 2·√3
BD = The base length of ΔABD = 2·BE (Length of BE = 2)
∴ BD = 2 × 2 = 4
The area of triangle ΔABD = (1/2) × BD × AE
∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3
The area of triangle ΔABD = 20 - 4·√3
Learn more about the properties of a kite here:
https://brainly.com/question/24110637
c-u-m definim cercul? cand spunem ca doua cercuri sunt egale? c-u-m definim coarda in cerc? Dar diametrul c-u-m il definim?
Acestea sunt intrebari la geometrie
CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES
Answer:
90° degrees
Step-by-step explanation:
cause if you look closely inside the semi circle is a right angle and a right angle is 90°
solve for X !
answer quickly please
Brian has $100 in his pocket. As he is walking home 1/4th of the money falls out of his wallet. Of the remaining money, he uses $15 to buy girl scout cookies. Lastly, of the remaining money he loses 1/3rd. How much money does he have left by the time he makes it home?
Answer:
$40
Step-by-step explanation:
Brian starts at $100, then loses 1/4th of the money,
100/4 = 25,
then you subtract 25 from 100, which gives you 75
With the remaining $75, he spends $15 on girl scout cookies,
75 - 15 = 60
He then has $60 remaining, but while walking home, loses 1/3 of the total amount.
60/3 = 20,
you then subtract 20 from 60, which gives you 40
Therefore, $40 is what is remaining.
Find the distance between the pair of points (2,-5) and (3,-7).
Answer:
2.24Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(2,-5)\quad\implies\quad x_1=2\,,\ \ y_1=-5\\\\(3,-7)\quad\implies\quad x_2=3\,,\ \ y_2=-7\\\\d=\sqrt{(3-2)^2+(-7+5)^2}= \sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt5=2.236....\approx2.24[/tex]
Helppp I’ll mark you as brainlister you
Answer:
[tex]\triangle KLM \sim \triangle GFH[/tex]
Step-by-step explanation:
In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].
find the scale factor of a drawing if the scale is 1 inch = 1/8 inch
Answer:
I believe that the answer is 8 because you have 1 inch =1/8 inch since you need eight 1/8 inches to equal one whole inch, it should be 8 inches
Step-by-step explanation:
The scale factor of the drawing if the scale is 1 inch = 1/8 inch is
What is Scale Drawing?A scale drawing is a drawing made by enlarging or reducing the size of the original object.
The factor by which the drawing is enlarged or reduced is called the scale factor.
Given that,
Scale of a drawing is,
1 inch = 1/8 inch
That is, a drawing is drawn for which it is drawn 1/8 inch for actual dimension of 1 inch.
So, drawing is reduces by 1/8
So scale factor = 1/8
Hence the scale factor of the drawing is 1/8.
Learn more about Scale Drawings here :
https://brainly.com/question/17388747
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lan has 30 star stickers to share. she gives 4 stickers to each of her and has 2 stickers.
how many friends does lan have.
Answer:
7
Step-by-step explanation:
this can be written as an equation, which is 4x+2= 30
X = the number of friends
30= the total of stickers
4= the stickers each friend gets
2= the amount lan gets.
Now solve the equation, first subtract 2 on both sides, which is 28
4x=28 now divide both sides by 4, which will give you 7
x= 7, that means that answer is 7
Write the sentence as an inequality.
A number (x) plus 10 is less than 34.
Answer:
X + 10 < 34
Step-by-step explanation:
X is the variable and variable represent a number in equations. Then this < is considered to be the less than symbol. The rest should be easy when you get the understanding.
A triangle has side lengths of 13, 15 and 25. Find the measure of the angle to the nearest whole degree that is across from the longest side. So find < L ?
Answer:
Answer in photo
Step-by-step explanation:
The price of an item has been reduced by 10%. The original price was $46. Find the price of the item now.
41.4
Step-by-step explanation:
Hope this helps ∞<3
let me know if its right or wrong
1
A percent of change is the ratio of the amount of change to the original amount.
Answer:
I believe this would be true
Step-by-step explanation:
Hi if anyone gets this pls help i understand but i wanna be sure
Answer:
A. [tex]8x^{6}[/tex]
Step-by-step explanation:
Answer:
8x6
Step-by-step explanation:
Question 1
1. You must build a ramp with a rise of 15 inches to roll
some lab equipment into your school. If you follow the
ADA specifications, what is the horizontal length (the "run")
of the shortest ramp you can build? What is the ramp's
total length?
Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1.for which values of x is h(x)=0? explain how you know
2.For which values of x is h(x) 0
3.sketch a graph of h
I am not good at math and don't feel like taking it again pleas help ;-;
i did this last year lol ;-;
The function h(x) is h(x)=5/4 x² - 5/2 x.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)
So, 5=a(-2-0)²+0
5=4a
a=5/4
Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get
f(x)= 5/4 x²
Equation of straight line with coordinates (-2, 5) and (0, 0) is
Slope m=5/2
Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get
0=5/2(0)+c
c=0
Substitute, m=5/2 and c=0 in y=mx+c we get
y=5/2 x
So, g(x)=5/2 x
Now, h(x)=f(x)-g(x)
h(x)=5/4 x² - 5/2 x
h(x)=5/2 x(1/2 x-1)
1) h(x)=0
5/2 x(1/2 x-1) =0
1/2 x-1=0
1/2 x=1
x=2
2) For x=2, h(x) is 0
3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.
To learn more about the quadratic function visit:
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write the slope intercept form of the equation of each line
Write an equation of the line passing through point (7,3) that is parallel to line 4x-7y=9
Answer:
y= 4/7x -1
Step-by-step explanation:
solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1
HELP PLZ I NEED THE RIGHT ANSWER
Answer:
54
Step-by-step explanation:
As ◇PQS is congruent to ◇ PRS,
6n + 3=4n+11
n=4
QR=6×4+3+4×4+11
2 angles whose non shared sides are opposite rays are defined as
HELP
Which equations have exactly one y-value for any given x-value? Select all that apply.
Answer:
I believe its A. y=-x C and D.
Please correct If I am wrong Please and thank you
Step-by-step explanation:
I alway get this wrong idk how pls help
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the total earned is d
you earn $4 after each hour (x), so you multiply
xoxo, your highness...What is the y-intercept of y = - 1/3x + 2?
Answer:
Pretty sure it's 2
Step-by-step explanation:
Answer:
3×3=9
Step-by-step explanation:
hope this helps haha
please help me with this question
Answer:
First question is 109
Second question is 45, but I guess it's a typo with 145.
Why you bullie me? how do you spell bullie?
Answer:
you spell it bully
hope it helps you out :)
Answer: it’s spelled Bully
Step-by-step explanation: B-U-L-L-Y
Simplify each pair of solutions as much as possible. Identify each pair of numbers as RATIONAL, IRRATIONAL, or COMPLEX/IMAGINARY.
Answer:
irrational duh
Step-by-step explanation: