can someone help me with this and explain me how to do it please :) ^

Can Someone Help Me With This And Explain Me How To Do It Please :) ^

Answers

Answer 1

Answer:

x= 4

[tex]perpendicular (p) = \sqrt{x} + 1[/tex]

[tex]base(b) = 2 \sqrt{x} [/tex]

[tex]hypotenuse(h) = 2 \sqrt{x} + 1[/tex]

According to the Pythagoras Theoram,

p²+b²= h²

[tex] {( \sqrt{x } + 1) }^{2} + {(2 \sqrt{x} )}^{2} = {(2 \sqrt{x} + 1)}^{2} [/tex]

=>x+2√x+1+4x = 4x +4√x +1=> x = 4x - 4x +4√x- 2√x+ 1- 1=>x= 2√x=> x/√x = 2=> √x = 2Therefore, x= (√x)² = (2)² = 4

Answer 2

Answer:

4

Step-by-step explanation:

2√x, √x + 1, 2√x + 1 sides of triangle

√x= y

2y, y+1, 2y+1

(2y)²+(y+1)²= (2y+1)²

4y²+y²+2y+1= 4y²+4y+1

y²-2y=0

y=0 (discarded as side can't be zero) or y= 2

so √x=2 ⇒ x= 4


Related Questions

chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning ​

Answers

Answer:

Rs. 1050

Step-by-step explanation:

75/100×600= 7.5×60= 450+600= 1050

Hope this helps

What is the length, in units, of segment CD?

Answers

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]

[tex] \sin(θ) = \frac{4}{5} [/tex]

[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]

[tex]θ = 53.1 \: (1d.p)[/tex]

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

[tex]ACD = 90 - 53.1 = 36.9[/tex]

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]

[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]

[tex]CD \cos(36.9) = 5[/tex]

[tex]CD = \frac{5}{ \cos(36.9) } [/tex]

[tex]CD = 6.25 units\: (3s.f)[/tex]

Work out m and c for the line: y = x + 4

Answers

Answer:

Step-by-step explanation:

What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell

Answers

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

-5n + 13

Answer:

-5x + 13

Step-by-step explanation:

to find the nth term, you must find the difference between each consecutive given terms.

So,

8 and 3 = -5

3 and -2 = -5

-2 and -7 = -5

This is the m in the equation mn+c

c is the value you must add to -5n when n is 1

Hope this helps

Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x + 1

Answers

Answer:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Step-by-step explanation:

Take a look at B:  4a^2 - 10 a + 25.  The square roots of 4a^2 and 25 are 2a and 5 respectively.  Does (2a - 5)^2 come out to 4a^2 - 10a + 25?  No.

Take a look at C:  25b^2 - 5b + 10  We know this is not a perfect square trinomial because 10 is not a square.

D:  16x^2 - 8x + 1:  both 16x^2 and 1 are perfect squares, so we have:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Harun and Anis have m boys and n girls. How many children do they have?​

Answers

They have two children
Answer: Harun and Anis amount of children = m + n.

Explanation: They have an unknown amount of children.

Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.

Answers

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

[tex]\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}[/tex]

Help a chick out only if u know what u doing

Answers

Answer:

for 12:00 1 for 1:00 2

Step-by-step explanation:

this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2

edit: is it right? if it is, may I have brainliest?

Let f ( x ) = 5 x and g(x)=2x^2. (Need answer in less than 2 hours!)

Answers

Answer: (b) (g o g)(5)

Step-by-step explanation:

[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]

A wedding ring costs £13000. Work out the price after a 11% price increase.

Answers

Answer:

£ 14430

Step-by-step explanation:

Costing price = £13000

Increase = 11% of 13000

=> 11/100 × 13000

=> 11 × 130

=> £ 1430

Increased Price = 13,000+1430

=> £ 14430

Arya spins both spinners. What is the probability that Arya gets blue on both spinners? Give your answer as a fraction.

Answers

Answer:

2/16

Step-by-step explanation:

Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.

probability=desired chances/total chances

=2/16

The probability that Arya gets blue on both spinners is 2/16.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .

we get 1 + 1 = 2.

The probability that Arya gets blue on both spinners

= desired chances/total chances

=2/16

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

OKAY HELP so Raegan has a rectangular breadspread that is 238 cm by 435 cm. She wants to sew a fringe around the bread spread. what is the perimiter of the bed spread??? figured that out its 1346 but then it says raegan gets a new breadspread that is 27 cm longer. whats the perimiter now?

Answers

Answer:

The new perimeter is 1400 cm

Step-by-step explanation:

The perimeter of the bedspread is the perimeter of a rectangle, whose formula is:

Perimeter = 2 * width + 2 * length

Then the perimeter of the initial bed spread is:

Perimeter = 2 * (238 cm) + 2 * (435 cm) = 1346 cm

as you calculated.

Now, she gets a new bedspread that is 27 cm longer. So the new dimensions are 238 cm width, and (435 + 27) cm length, then the perimeter becomes:

Perimeter = 2 * (238 cm) + 2 * (462cm) = 1400 cm

30 POINTS! and brainliest if you have the best answer
1. How can you set up a spinner so that an event is likely?
2. How can you set up a spinner so that an event is unlikely?
3. How can you set up a spinner so that an event is impossible?
4. How can you set up a spinner so that an event is certain?

Answers

Answer:

hey guys whats up!

i think your answer is

1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.

2.you can as the other question above states do the opposite.

3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.

4.to make an event certain you can do the opposite of answer 3

Step-by-step explanation:

hope this helps

thx

pls put brainliest

What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
(x-4)²+2?
-4
-2.
2
04

Answers

Answer:

4

Step-by-step explanation:

I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.

oblems
Congruency Pront
Name: Jarol
Comments
Statements
AC bisects BCD
Reasons
Given
Given
DCIAD
Given
BC AB
Given:
AC bisects BCD
DC I AD
BC AB
Right angles are =
Prove:
AC AC
BC DC
Bc z oo

Answers

Answer:

[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent

Step-by-step explanation:

Statements,                                                Reason

[tex]\overline{AC}[/tex] bisects ∠BCD,                                      Given        

[tex]\overline{DC} \perp \overline{AD}[/tex]                                                    Given

∠CDA ≅ ∠CBA                                           Right angles are ≅

[tex]\overline{AC} \cong \overline{AC}[/tex]                                                     Reflexive property

ΔACD ≅ ΔACB                                           Hypotenuse Leg (HL) congrurency

[tex]\overline{BC} \cong \overline{DC}[/tex]                                                    CPCTC

Where:

CPCTC = Corresponding parts of Congruent Triangles are Congruent

⊥ = Perpendicular to

≅ = Congruent

∠ = Angle

Δ = Triangle.

This is my last one please help you need to explain it just tell me the right answer thank you

Answers

Answer:

i might be 25

Step-by-step explanation:

Applying the recursive rule aₙ; a ₙ ₋ ₁ + 3, write the first seven (7) terms of the sequence when a = 10.

Answers

Answer:

First seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Step-by-step explanation:

Given recursive rule aₙ = a ₙ ₋ ₁ + 3

a1 = 10

[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]

Thus, first seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S and q is ? The force exerted between S and p.

Answers

Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p

a. 1/2

b. 2 times

c. 1/4

d. 4 times

Answer:

4 times

Step-by-step explanation:

Given the following :

Distance between q and S (r) = 1 unit

Distance between P and S (r) = 2 × 1 unit = 2

According to coliumbs law:

F = Ke(q1q2) /r^2

Where F = electrostatic force, Ke = coloumbs constant

q1,q2 = charges, r = distance between two charges

For q and S :

Fsq = Ke(q1q2) / 1^2

Fsq = Ke(q1q2) - - - - - equation 1

For P and S :

Fsp = Ke(q1q2) / 2^2

Fsp = Ke(q1q2) / 4 - - - - - equation 2

Dibiding equation 1 by equation 2

Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4

Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)

Fsq / Fsp = 4 / 1

Using cross multiplication

Therefore, Fsq = 4 × Fsp

N
(7x5 – 2x3 + 6) – (3x” – 4x3 – 2)
+

Answers

Answer:

67

Step-by-step explanation:

67 bcz

Answer:

67

Step-by-step explanation:

Find the value of each expression -7+12+15

Answers

Answer:

20

Step-by-step explanation:

12x+7< -11 AND 5x−8≥40 need help asap

Answers

Answer:

B

Step-by-step explanation:

Let's solve 12x + 7 < -11.

12x < -18

x < -3/2

Solving 5x − 8 ≥ 40 we get:

5x ≥ 48

x ≥ 48 / 5

Since it says AND, the answer is no solution.

A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?

Answers

Answer:

3 meters per second.

Step-by-step explanation:

Change in elevation = distance / time

= 18/6

= 3 meters / second.

.

can i have some help please?

Answers

Answer:

42°

Step-by-step explanation:

given OA and OC are perpendicular, the angle between the lines are 90°

this means that ∠AOB and ∠BOC add up to 90°, i.e.

(6x-6) + (5x+8) = 90

6x-6 + 5x+8 = 90

11x - 6 +8 = 90

11x + 2 = 90 (subtract 2 from both sides)

11x = 90- 2

11x = 88 (divide both sides by 11)

x = 8  

Hence, m∠BOC

= 6x - 6

= 6(8) - 6

= 48 - 6

= 42°

Hi. Can somebody help me with this problem

Answers

Answer:

draw a table and calculate the x axis and find the x intercept

Step-by-step explanation:

Answer:

The correct answer is ..

(-1,-2)

Step-by-step explanation:

First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)

Hope this helps!

- Quinn <3

What value of x is in the solution set of 8x - 6 > 12 + 2x?
-1
e Of
3
5

Answers

Answer:

x > 3

Step-by-step explanation:

Step 1: Isolate x

6x -6 > 12

6x > 18

Step 2: Divide

x > 3

One fourth of a number is added to one fifth of the same number. If the result is 18, find the number

Answers

Answer:

[tex]40[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number.

[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]

[tex]\frac{9}{20} x=18[/tex]

[tex]x=18 \times \frac{20}{9}[/tex]

[tex]x=40[/tex]

If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40

Let the given number be represented by x

One-fourth of the number = x/4

One-fifth of the same number = x/5

One-fourth of the number is added to one fifth of the same number =

x/4  +  x/5  

The result is 18

This can be represented mathematically as:

x/4  +  x/5     =  18

Simplifying the equation above

(5x + 4x)/20  =  18

Cross multiply

5x +  4x  =  18(20)

9x  =  360

x   =  360/9

x   =  40

The number = 40

Learn more on word problem here: https://brainly.com/question/21405634

When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer


all the numbers are roots and powers

Answers

Answer:

14

Step-by-step explanation:

We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.

Let us expand all brackets:

[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]

The exponent of b is 14.

Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'

Answers

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

The coordinates of rectangle ABCD are;

A = (-6, -2)

B = (-3, -2)

C = (-3, -6)

D = (-6, -6)

The coordinates of the image are;

A' = (-10, 1)

B' = (-7, 1)

C' = (-7, -3)

D' = (-10, -3)

We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3

For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3

For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3

For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3

Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

Using the quadratic formula, which of the following are the zeros of the quadratic equation below

Answers

Answer:

the answer for this question is D

Answer:

Correct answer is actually B

Step-by-step explanation:

I used someone’s answer with their work shown for my test


You don’t have to explain this just tell me the tight answer

Answers

Answer:

The triangles are similar by the AA similarity postulate

Step-by-step explanation:

The only thing we know is that the three angles are the same

70+30 +80 = 180 so the missing angle in each triangle is  80  in the first and 70 in the second

The triangles are similar by the AA similarity postulate

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