Find the area of figure B

Answer:

y = - 4.4

Step-by-step explanation:

Given that t varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 6.6 when x = 9.9 , that is

- 6.6 = 9.9k ( divide both sides by 9.9 )

k = [tex]\frac{-6.6}{9.9}[/tex] = - [tex]\frac{2}{3}[/tex]

y = - [tex]\frac{2}{3}[/tex] k ← equation of variation

When x = 6.6, then

y = - [tex]\frac{2}{3}[/tex] × 6.6 = - 2 × 2.2 = - 4.4

Answer:

Step-by-step explanation:

Answer:

3(x+6)=10(x-1)

Step-by-step explanation:

That's it

Answer: The prism is a cube when x=2

Step-by-step explanation:

A cube must have all equal sides/lengths

Side 1. 2( x+1)

Side 2. 3x

Side 3. 2

2 (2+1)=6

3(2)=6

2(2)+2=6

Answer:

[tex]B=4^{3} feet[/tex]

Step-by-step explanation:

The altitude of B = 16A and we now that A = 4 feet.

Finally B will be:

[tex]B=4^{2}*4=4^{3} feet[/tex]

I hope it helps you!

Answer:

4

Step-by-step explanation:

[tex]\left(15-9\right)^2\div \left(5+4\right)[/tex]

Using PEMDAS, we solve the brackets first.

[tex]6^2\div \left(5+4\right)[/tex]

[tex]6^2\div \:9[/tex]

Then, we solve the exponents.

[tex]36\div \:9[/tex]

Finally, we divide.

[tex]4[/tex]

Answer:

4

Step-by-step explanation:

you do what is in the parentheses  first so 15-9=6 and 5+4=9 so whats left is the exponent. The exponent is 2 so what is 6x6=36 divided by 9 =4

Hope this helps

Answer:

2000

Step-by-step explanation:

100/25=4

500*4=2000

Answer:

0.4% of 50 is 0.2

Answer:

2) x=6 3) x=4 m<EFH=21 m<EFG=83

Step-by-step explanation:

2) Basically they're giving you two parts of a whole angle. The entire angle is 127 degrees, split into two parts. one part being 83 degrees and the other is (9x-10). the way you solve for X is by making it into an equation. Angle JKM + angle MKL = angle JKL. So substitute the values they gave you into the one we just made.

(9x-10) + 83 = 127 then solve for x.

9x-10+83=127

9x+73=127

9x=54

x=6

3) this question is the same thing but now theres a variable on both sides of the equation. angle EFH +angle HFG = angle EGF. substitute then solve for x

(5x+1) + 62 = 18x+11

5x+63=18x+11 move the x variables to one side

52=13x

x=4

for the rest of the angles just plug in the x value to the equations for the smaller angles

m<EGF:

18x+11

18(4)+11= 83

m<EFH

5x+1

5(4)+1= 21

Answer:

cab =2acdhuajsjsidbjxjdbiss

Answer:

x3=0+8

×3=8

x=8/3

Step-by-step explanation:

Answer:

x = 2, -1+i√3, −1−i√3

Step-by-step explanation:

Factoring the left side of the equation:

x^3−2^3=0

(x−2)(x^2+x⋅2+2^2)=0

(x−2)(x^2+2x+2^2)=0

(x−2)(x^2+2x+4)=0

x−2=0

x^2+2x+4=0

First solution:

x−2=0

x=2

Second and third solution:

x^2+2x+4=0

−2±√2^2−4⋅(1⋅4)/2⋅1

x=−2±2i√3/2⋅1

x=−2±2i√3/2

−2±2i√3/2  

x=−1±i√3

x=−1+i√3

x=−1−i√3

x=−1+i√3,−1−i√3

Final answer:

x=2,−1+i√3,−1−i√3

Answer:

x+y=13 and 25x+10y=265;

x= number of quarters and y= number of dimes.

Step-by-step explanation:

marked as right

The solution is Option A and Option C.

x + y = 11 and 25x + 5y = 265

x = number of quarters and y = number of nickels

x + y = 13 and 25x + 10y = 265

x = number of quarters and y = number of dimes

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount be A = $ 2.65

The value of 1 nickel = $ 0.05

The value of 1 dime = $ 0.10

The value of 1 quarter = $ 0.25

Now , the equation will be

a)

x + y = 11 and 25x + 5y = 265

x = number of quarters and y = number of nickels

On simplifying the system of equations , we get

25x + 5y = 265   be equation (1)

5x + 5y = 55    be equation (2)

Subtracting (2) from equation (1) , we get

20x = 210

x = 10.5

So , the value of y = 0.5

Substituting the value of x and y in equation (1) , we get

25 ( 10.5 ) + 5 ( 0.5 ) = 265

262.5 + 2.5 = 265

265 = 265

Therefore , the system of equations satisfies the conditions

c)

x + y = 13 and 25x + 10y = 265

x= number of quarters and y= number of dimes

On simplifying the system of equations , we get

25x + 10y = 265   be equation (1)

10x + 10y = 130    be equation (2)

Subtracting (2) from equation (1) , we get

15x = 135

x = 9

So , the value of y = 4

Substituting the value of x and y in equation (1) , we get

25 ( 9 ) + 10 ( 4 ) = 265

225 + 40 = 265

265 = 265

Therefore , the system of equations satisfies the conditions

Hence , The solution is Option A and Option C.

x + y = 11 and 25x + 5y = 265

x = number of quarters and y = number of nickels

x + y = 13 and 25x + 10y = 265

x = number of quarters and y = number of dimes

To learn more about equations click :

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The statement that justifies why the triangle shown below is not a right-angle triangle is [tex](5)^{2} + (10)^{2}[/tex] ≠ [tex](12)^{2}[/tex]

A right-angle triangle is a triangle that has a right-angle.

Here, the sides of the triangle are 5, 10, and 12.

As per Pythagorean theorem for a right-angle triangle,

(Base)² + (Height)² = (Hypotenuse)²

Now, for the given triangle:

[tex](5)^{2} + (10)^{2}[/tex]

[tex]= 25 + 100\\= 125\\= 11.18[/tex]

≠ [tex](12)^{2}[/tex]

Therefore, the given triangle is not a right-angle triangle.

Learn more about a right-angle triangle here: https://brainly.com/question/3770177

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Answer:

E: 20/(7-2)+(5^2*3)

D: (24+16)/(8-4)

sorry, didn’t do q2

Step-by-step explanation:

E (q1)

20/(7-2)+(5^2*3) is 79

20/5 plus 25*3 is 79

4 plus 75 is 79

D (q1)

(24+16)/(8-4) is 10....... 40/4 is 10

Answer:

Third option, [tex]x=2[/tex]

Step-by-step explanation:

By observation, we can infer that

[tex]3x+8=4x+6[/tex].

Subtract 8 from both sides:

[tex]3x+8-8=4x+6-8[/tex]

[tex]3x=4x-2[/tex]

Subtract 4x from both sides:

[tex]3x-4x=4x-2-4x[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]

[tex]x=2[/tex]

Answer:

c; x=2

Step-by-step explanation:

You can see that there are 3 x's and 8 1's (3x+8), as well as 4 x's and 6 1's (4x+6).

The equation is 3x+8=4x+6

Subtract 3x and subtract 6: 2=x

Answer:

The vertex is (4,-5) and the axis of symmetry is x = 4. The range is all real numbers

Step-by-step explanation:

vertex is calculated by -b/2a so the vertex would be -5/2(2) which is equal to (4,-5).

The axis of symmetry is the x number in the vertex so it would be x = 4.

Answer:

vertex is (4, -5)

Step-by-step explanation:

given:

y = 7 * (x - 4) ^ 2 - 5

find:

Determine the range.

y = 7 * (x - 4) ^ 2 - 5

rewrite in the form of y = ax² + bx + c

y = 7x² - 56x + 107

the parameters are:

a = 7

b = -56

c = 107

Xv = - ( - 56 )

           2 * 7

simplify:

Xv = 4

plugin values into Yv

Yv = -5

therefore the vertex is (4, -5)

Answer:

x+12

Step-by-step explanation:

7x+13=97

   -13   -13

7x=84

/7   /7

x=12

Answer:19

Step-by-step explanation:

17,18,18,19,21,22,46

The median of the given sequence i.e. 17,18,18,19 21,22,46 should be considered as the 19.

Since the given sequence  is 17,18,18,19 21,22,46

There is total 7 numbers

So for that we have to apply the below formula

[tex]= ( n + 1) \div 2 \\\\= ( 7 + 1) \div 2\\\\= 8 \div 2[/tex]

= 4th term

So here the fourth term should be 19

hence, The median of the given sequence i.e. 17,18,18,19 21,22,46 should be considered as the 19.

Learn more about median here: https://brainly.com/question/24520301

Answer:

a = 4

b = 3

:))

Given:

The sum of the smallest prime number and the second smallest prime number is divided by the third smallest prime number.

To find:

The remainder.

Solution:

Prime numbers are the numbers which are divided by only 1 or itself.

Smallest prime number = 2

Second smallest prime number = 3

Third smallest prime number = 5

The sum of the smallest prime number and the second smallest prime number is divided by the third smallest prime number.

[tex]\dfrac{2+3}{5}=\dfrac{5}{5}[/tex]

[tex]\dfrac{2+3}{5}=1[/tex]

Since 5 is completely divided by 5, therefore, t he remainder is 0.

Answer:

Emily won the race; she finished 1.9 seconds ahead of John.

Note: The question is incomplete. The complete question is given below:

Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds.

John's run

A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 35, 47.5, 60, 72.5.

Emily's run

A graph titled Emily's Run has time (seconds) on the x-axis and Distance (meters) on the y-axis. Points are at (4, 32), (6, 48), (8, 64), and (10, 80)

Step-by-step explanation:

Step 1: Since, they ran at a constant speed, first, we calculate John's speed ;

Speed = (change in distance)/(change in time)

John's Speed = (72.5 - 60)/(10 - 8) = 6.25 m/s  

Step 2: Then, we calculate Emily's speed;

Speed = (change in distance)/(change in time)  

Emily's Speed = (80 - 64)/(10 - 8) = 8.00 m/s

Also, it was stated that Emily gave John a 10 m head start, therefore, John ran a distance of 90 m at 6.25 m/s  while Emily ran a distance of 100 m at 8.00 m/s

Step 3: Time taken by both runners

Time = (Distance/Speed)

Time taken by John; time = (90/6.25) = 14.4 s  

Time taken by Emily,  Time = (100/8.00) = 12.5 s  

Therefore, Emily won the race since her time to complete the race was shorter. She won the race by (14.4 - 12.5) = 1.9 s

Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds.

won the race by about

seconds.

Answer:

d

Step-by-step explanation:

Answer:

Use synthetic substitution to find the value of k such that (x3 + 4x2 + x + k)

Answer:

174.2

Step-by-step explanation:

Answer:

49degrees

Step-by-step explanation:

Got it right on Edge

Answer:

226.349

Step-by-step explanation:

googled it lol

Step-by-step explanation:

for y-intercept

x=0 so,

y=8 (0)-18

y=0-18

y= -18

for x-intercept

y=0 so,

0=8x-18

8x=18

x=2.25