The diagram shows a square.
(7x + 3)cm (5x + 8) cm
Find the length of the side of the square.

Answers

Answer 1

Answer:

x = 5/2cm

Step-by-step explanation:

Because this is a square and each side is equal to each other in length, we can say:

7x + 3 = 5x + 8

We can start rearranging this equation to collect like terms:

7x = 5x + 8 - 3

7x = 5x + 5

7x - 5x = 5

2x = 5

x = 5/2

We can test this out by substituting our new found value for x into the original equation:

7 * (5/2) + 3 = 5 * (5/2) + 8

(35/2) + 3 = (25/2) + 8

I'm going to change the integers (3 and 8) to fractions so the arithmetic is easier, as they'll all have the same denominator.

(35/2) + (6/2) = (25/2) + (16/2)

(41/2) = (41/2)

So as you can see above, with x = 5/2, both sides are equal.

You don't need to put the fractions in brackets; I just do that to make it look a little less messy.

Also, I've only included the units (cm) in the answer. I don't like using units when doing calculations, but your teacher may ask you to perform the calculations using the units throughout.


Related Questions

explain and solve asap please

Answers

Answer:

175

Step-by-step explanation:

m<1=87

92x2=184

184-360=176

176/2=88

m<2=88

m<1+m<2=

87+88=175 degrees

Can you help me please.

Answers

Answer:

y = -1x - 2/2

Step-by-step explanation:

Slope is -1

B = 2/-2

Answer:

y = x - 4

Step-by-Step Explanation:

Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.

Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1  (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).

Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):

y = mx + b

-2 = 1(2) + b

-2 = 2 + b

Subtract 2 from both sides to solve for b:

-2 - 2 = 2 - 2 + b

-4 = b

Therefore, the y-intercept (b) = -4.

Hence, the equation of the perpendicular line is: y = x - 4

Please mark my answers as the Brainliest if you find my explanation helpful :)

If f(x) = x4 – x3 + x2 and g(x) = -x?, where x # o, what is (f/g)(x)?
O
x²-x+1
x²+x+1
-x2+x-1
-x² – x-1

Answers

Answer:

[tex]-x^2+x-1[/tex]

Step-by-step explanation:

Thanks!!!!

The composition of function f ( x ) / g ( x ) = -x² + x - 1

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁴ - x³ + x²

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = -x²

Now , the composition of function is ( f/g ) ( x )

On simplifying , we get

( f/g ) ( x ) = f ( x ) / g ( x )

f ( x ) / g ( x ) = x⁴ - x³ + x² / -x²

f ( x ) / g ( x ) = -x² + x - 1

Hence , the function is A = -x² + x - 1

To learn more about composition of functions click :

https://brainly.com/question/17673639

#SPJ7

What is the value of X?

Answers

It’s C. Sorry for my bad drawings haha

what is number 4 and 6?​

Answers

Step-by-step explanation:

4 ) 12 × 12

= 144

6 ) 10 × 10 × 10 × 10 × 10

→ 100000

• it's also a mathematical symbol for multiply by similar to × and *.

hope this answer helps you dear..take care!

Answer:

4= 144. 6= 100000

Step-by-step explanation:

use a calculator to get the answers

11/8+(-11/10) Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

11/40

Step-by-step explanation:

[tex]\frac{11}{8} +(-\frac{11}{10})[/tex] [tex]\frac{11}{8}-\frac{11}{10}[/tex] [tex]\frac{11}{8}= \frac{55}{40}, \frac{11}{10} = \frac{44}{40}[/tex] [tex]\frac{55}{40} - \frac{44}{40}[/tex] [tex]\frac{11}{40}[/tex]

(Calculus)
please help me !

Find an equation for the tangent line to the graph of f(x) = 2x x+1
at the point where x=3

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 12x - 17.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Is y = (x - 1)(x + 7) linear or nonlinear

Answers

Yes it’s linear! Hope that helped

Need help ASAP 80 points ?!!!

Answers

Answer:

its 175

Step-by-step explanation:

Just do the calculations backwards or solve equation

Answer: 35 I believe

(2x+1)(4-x)=0 Please I need help

Answers

im pretty sure its: x = 4 (like 90% sure)

Solve for x.
x+5
___ = 3/8
x+8

Answers

Answer:

the answer would be  -16/5

Step-by-step explanation:

Answer:

[tex]x = - \frac{16}{5} [/tex]

Step-by-step explanation:

[tex] \frac{x + 5}{x + 8} = \frac{3}{8}[/tex]

8 (x + 5) = 3 (x + 8)

8x + 40 = 3x + 24

8x - 3x = 24 - 40

5x = -6

x = -16 ÷ 5

x = -16/5

Make s the subiect of v2 = U2+ 2as

Answers

Answer:

v2=U2+2as

v2-U2=U2-U2+2as

v2-U2=2as

(v2-U2)/2a=2as/2a

v2-U2/2a=s

s=(v2-U2)/2a

HELP!!! BRAINLIEST!!! BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY PLEASE!!!

Answers

Im a 5th grader and I don't even know that.

C is the answer
Hope this help

Enter the number in scientific notation.
50,000 =
x10 to the power of?

Answers

Answer:

5x104

Step-by-step explanation:

Answer:

5 * 10⁴

Step-by-step explanation:

50,000 is 5 * 10,000

10,000 = 10⁴

Thus, 50,000 = 5 * 10⁴

please help ill mark brilliant​

Answers

B is the answer to the question :)
Answer: B

Explanation: Trust me

helppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

Answer:

a) 8:20

b) 14:28

Step-by-step explanation:

1) -7+2 +4 =
Simplifying expressions with absolute value

Answers

Answer: -1

So I Simplify the expression to the math problem -7+2 +4 = and got -1

Isha, a super excited candy crush user, has increased her points by 75% percents in a week. shes at 14000 points now. how many points did Isha have on candy crush last week?

Answers

If she has increased by 75% in a week to get 14000 points then  we can say that 175% times a number has to equal 14,000 , where the number of points she had last week.

175% * x = 14000

1.75x =14000     Divide both sides by 1.75

x= 8000

So she had 8000 points last week.

Check:

175% * 8000= 14000

1.75 * 8000 = 14000

  14000 = 14000

Answer:

8,000 points

Step-by-step explanation:

x + 0.75x = 14,000 (the initial amount of points X plus 0.75x)

1.75x = 14000

x = 14000/1.75

x = 8,000

Help plsssssssssssssssss

Answers

Answer:

1: slope; 3, y intercept; 3

2: slope; -1, y intercept; -2

3: slope; -4, y intercept; 4

4: slope; 1, y intercept; 0

Step-by-step explanation:

also, equation is y =mx+b

y intercept = b

m = slope

y axis = y

x axis = x

EVERYONE LISTEN!!! THIS IS VERY IMPORTANT!!! TEACHERS DO NOT LIKE BRAINLY, THEY HAVE ADMITTED TO MAKING FALSE ANSWERS SO THAT THEY CAN CATCH YOU!!! BE CAREFUL!!!

Answers

Answer:

thank you...........................................

REPSOT* Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6

Answers

Answer:

C

Step-by-step explanation:

-6 is further to the left in the number line.

A big ship drops its anchor.
E represents the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds).
E=−2.4t+7
How far does the anchor drop every 5 seconds?

Answers

Answer:

I don't know if I can you go outside and I can go to the store and get a little

Amy and Rob each improved their yards by planting rose bushes and shrubs. They bought their
supplies from the same store. Amy spent $43 on 1 rose bush and 11 shrubs. Rob spent $68 on 5
rose bushes and 6 shrubs. Find the cost of one rose bush and the cost of one shrub.

Answers

Answer: a rose bush is 10 dollars while a shrub is 3

Step-by-step explanation:

5x10 is 50

6x3 is 18

__________ +

68

10

11x3=33

________+

43

Prove segment GF = segment HF

Answers

Answer:

GF = FH

Step-by-step explanation:

GEF & FIH

EF = FI (equal)

GEF = FIH (alternate angle)

EG = HI (parallel sides equal)

GEF & FIH are congruent, under the case of (SAS)

therefore, GF = FH (corresponding angle)

Use the distributive property to remove the parentheses.
3(8+v)

Answers

Answer:

24 + 3v

Step-by-step explanation:

multiply 3 with 8

and

multiply 3 with v

Answer:

3(8+v)

3*8=24

3*v=3v

24+3v

Step-by-step explanation:

Multiply 8 by 3 and v by 3 to get 24+3v

Help??????????!!!!!!!!!!!! yes

Answers

Answer:

(7,2)

Step-by-step explanation:

have a lovely day

Given the function f(x) = 2x – evaluate f (4). Enter your answer as a decimal.

Answers

Step-by-step explanation:

F(x)=2x

but x= 4

F(x)= 2(4)

F(x)= 8

1/8 is same as 8

0.125

27 shortest to longest.

Answers

K is the shortest m is the longest

Five triangles are shown on the coordinate plane.

Which triangle is a possible reflection of triangle A?

Answers

Answer:

answer choice c!

Step-by-step explanation:

hope this helps!

A reflection is when you "flip" the shape across the axis.

Choice C would work because you can flip triangle a and make d over the x axis

ABCD is a parallelogram.
AB = 8.9 cm.
AD = 6.7 cm.
Angle BAD = 74°.

Calculate the area of parallelogram ABCD.
Give your answer correct to 3 significant figures.

Answers

Answer:

Area: AB × AD × sin 74= 8.9×6.7×24/25= 57.244 cm^2

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