a^2/9=b^2/16 and a^2+b^2=100

Answers

Answer 1

Answer:

a=6 and b=8

Step-by-step explanation:

a^2=(9/16)b^2. Substitute this in the second equation, you get b^2+b^2*(9/16)=100, b^2=100*16/25=8 and a=6


Related Questions

Which of the following rules describes the function graphed below?

Answers

Answer:

D

Step-by-step explanation:

Output = 3*input - 2. Observe the graph again

If you divide $65 in the ratio 6:7, what is the smaller part?
A. $13
O B. $26
C. $30
OD. $35

Answers

Answer:

$30

Step-by-step explanation:

Let the ratios be 6x and 7x

Then 65 = 6x + 7x

65 = 13x

x = 65/13

x=5

6x = 6 x 5 = $30

7x = 7 x 5 = $35

Answer From Gauth Math

the answer is $30!!!!!!!!!!

Refer to picture
Need help on Q.8

Answers

Answer:

Rajan = 436.36 rupees and Kamal = 363.63 rupees

Step-by-step explanation:

Total ratio = 11/30

Amount to be shared = 800

Rajan = Individual ratio / Total ratio x the total amount to be shared

1/5 ÷11/30 × 800 = 436.36

Kamal = 1/6 ÷ 11/30 × 800 = 363.63

What is the value of the expression below when z=10z=10 and w=4w=4? 2z-3w 2z−3w

Answers

Answer:

8

Step-by-step explanation:

more details

2(10)-3(4)

20-12

8

solve the inequality
[tex] \frac{1}{3} x \: + 1 \geqslant \frac{1}{2} x + \frac{1}{4} (2 - x)[/tex]

Answers

Answer:

x >= -6

Step-by-step explanation:

Multiply:

(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x

Combine like terms:

(1/3)x + 1 >= (1/4)x + 1/2

Move the x's on one side and the integers on another:

(1/3)x - (1/4)x >= 1/2 - 1

(1/12)x >= -1/2

x >= -6

I hope this helped! :D

Can you help with number 9,10,12

Answers

for question 9 the answer will be in the photo

6g+5 =-2(1+2g)
------------------

Answers

Answer:

g: -7/10 or -0.7

Step-by-step explanation:

[tex]6g+5=-2\left(1+2g\right)[/tex]

Apply the distributive law:-

[tex]-2\left(1+2g\right)[/tex]

[tex]=-2-4g[/tex]

[tex]6g+5=-2-4g[/tex]

Now, we´ll Subtract 5 from both sides :-

[tex]6g+5-5=-2-4g-5[/tex]

[tex]6g=-4g-7[/tex]

Add 4g to both sides :-

[tex]6g+4g=-4g-7+4g[/tex]

[tex]10g=-7[/tex]

Now, divide both sides by 10:-

[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]

[tex]g=-\frac{7}{10}[/tex]

OAmalOHopeO

Please help!! Graph a line with a slope of 1/4 that contains the point (6,3).
Silly comments will the reported!!! Please explain if possible!!

Answers

Start at the point (6,3), from there, use rise over run. From the given point, rise up 1, and go right 4.

To get a before point, start at the given point (6,3). Move along the x axis backwards four, and down 1. (2,2)

3x - 28= 80
What is the value of x?
Cual es el valor de x?

Answers

Answer:

3x-28 = 80

3x = 108

x = 36

Let me know if this helps!

4.
Find the inverse of A if it has one, or state that the inverse does not exist.

Answers

Answer:

Hello,

[tex]\begin{bmatrix}\dfrac{-1}{5} &0\\\dfrac{-1}{10}&\dfrac{1}{4}\end{bmatrix}[/tex]

Step-by-step explanation:

See jointed file

The inverse of the matrix A is

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

What is a matrix?

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

[tex]A = \left[\begin{array}{cc}-5&0\\-2&4\end{array}\right][/tex]

The matrix A is a square matrix and its determinant is not zero.

So the inverse exist.

The inverse of matrix A.

We will change the rows into columns and columns into rows.

So,

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

Thus,

The inverse of the matrix A is given above.

Learn more about matrix here:

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ncert maths class 10 solution 5.1 4

Answers

Can you attach a picture to your question?

I would love to help you out.

Answer:

Step-by-step explanation:

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

           where is question ??

x+5≤−4 solve for x

(uh bananas)

Answers

Answer:

x≤−9

Step-by-step explanation:

x+5≤−4

Subtract 5 from each side

x+5-5≤−4-5

x≤−9

help ASAP!!!
bensnsnana

Answers

Answer:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

write as an inequality 9 is greater than or equal to w, and -7 is less than or equal to w

Answers

[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]

"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]

We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]

Final Answer: [tex]-7 \le w \le 9[/tex]

Simplify.
2(x + 2) -x+3(-x-2) - (2x + 4)

Answers

Answer:

-4x - 6

Step-by-step explanation:

2(x + 2) - x + 3(-x-2) - (2x + 4)

=> 2x + 4 - x + -3x - 6 - 2x - 4

=> 2x - 2x - x - 3x + 4 - 6 - 4

=> -4x - 6

What is the factored form of the expression 3x^2 + 6x – 24

Answers

Answer:

(3)(x + 4)(x-2)

Step-by-step explanation:

3x^2 + 6x – 24

3(x^2 + 2x - 8)

(3)(x + 4)(x-2)

Answer:

3(x - 2)(x + 4).

Step-by-step explanation:

3x^2 + 6x – 24

= 3(x^2 + 2x - 8)

= 3(x - 2)(x + 4).

please help me to solve this

Answers

Answer:

Step-by-step explanation:

a) 3x^2

b) (512)^-2/3=2^n

1/64=2^n

n=-6

The first one Is 3x^2

Max A = 15 - x^2 - x​

Answers

Answer:

not exactly sure what the question is but

if it is "what is the max that 15 - x^2 - x can be

then 2x-1 = 0 solves that

x = 1/2

Step-by-step explanation:

Please help me solve this!

Answers

Answer:

Step-by-step explanation:

Reference angle = 27

height = 2

Sin(27) = opposite / hypotenuse

hypotenuse = opposite / sin(27)

opposite = 2

hypotenuse = 2 / sin(27)

hypotenuse = 4.405

The ramp has to be 4.41 feet long.

If l || m, classify the marked angle pair and give their relationship, then solve for x.

Answers

Answer:

14. x=16, 15. x=9

Step-by-step explanation:

14.

4x+4=7x-44 by alternate exterior angles

3x=48

x=16

15.

15x-26=12x+1 by alternate exterior angles

3x=27

x=9

What is the slope of the line described by the equartion below?
y = -2x + 4
I need help.

Answers

Answer:

C. –2

Step-by-step explanation:

The slope is equal to the number multiplying the x

Answer:

C

Step-by-step explanation:

Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2

-8x - (3x + 6 ) = 4 - x

Answers

Answer:

-1

Step-by-step explanation:

Remember PEMDAS! Start with distributing the parentheses -(3x+6) so you get -8x-3x-6=4-x and simplify. Then you get -11x-6=4-x and combine like terms which equals -10=10x. Simplify and you get -1.

The solution to the equation -8x - (3x + 6) = 4 - x is x = -1.

What is the solution to the equation?

Given the equation in the question:

-8x - (3x + 6 ) = 4 - x

To solve the equation -8x - (3x + 6) = 4 - x, simplify the equation by isolating all terms with variable x:

-8x - (3x + 6 ) = 4 - x

Distribute the negative sign inside the parentheses:

-8x - 3x - 6 = 4 - x

Combine like terms on both sides of the equation:

-11x - 6 = 4 - x

Add 6 to both sides:

-11x - 6 + 6 = 4 + 6 - x

-11x = 4 + 6 - x

-11x = 10 - x

Next, add x to both sides:

-11x + x = 10 - x + x

-10x = 10

Divide both sides of the equation by -10:

x = -10/10

x = -1

Therefore, the value of x is -1.

Learn more about equations here: brainly.com/question/14686792

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Please help if possible its important!!​

Answers

Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]

                                 [tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]

H = 20 ft

Volume = B * H

             = 30 * 20

             = 600 ft³

16x + 90 = 2 ( 10x + 5 ) answer

Answers

Answer:

x = 20

Step-by-step explanation:

[tex]16x+90=2(10x+5)\\\\16x+90=20x+10\\\\90=4x+10\\\\80=4x\\\\20=x[/tex]

I need help ASAP!!Please explain how to do the problem

Answers

Answer:

[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]

Step-by-step explanation:

A checking account is
overdrawn by $5, then a
$5 fee is charged. What
is the balance on the
account?
Ty for any help!!!

Answers

minus/negative ten dollars.

.eygywhwusjsi

Find the circumference of a circle with a radius of 35 inches in terms of pie add to the nearest 10th of an inch

Answers

Circumference of circle = 2 π r

π = 3.14r = 35 inches

Now , Substuting the values

Circumference of circle = 2 × 3.14 × 35

Circumference of circle = 6.28 × 35

Circumference of circle = 219.8 inches

Nearest 10ᵗʰ of 219.8 is 220

Hence , the Circumference of circle is 220 Inches.

[tex] \overline{ \underline{ \boxed{ \frak{Given }}}}[/tex]

Find the circumference of a circle with a radius of 35 inches in terms of pie add to the nearest 10th of an inch

[tex] \overline{ \underline{ \boxed{ \frak{Solution}}}}[/tex]

Given that :

Radius = 35 inches

π = 3.14

Formula for getting the circumference :

[tex] \star \: \underline{ \pink{\boxed{\frak{Circumference_{(Circle)} = 2πr}}}}[/tex]

Putting the values in the formula we get :

[tex] \twoheadrightarrow \frak{Circumference_{(Circle)} = 2 \times 3.14 \times 35 \: in}[/tex]

[tex]\twoheadrightarrow \frak{Circumference_{(Circle)} = 3.14 × 70 in }[/tex]

[tex] \twoheadrightarrow \frak{Circumference_{(Circle)} = 219.8 \: inches}[/tex]

Henceforth, the circumference is 219.8 inches

But we are given to convert it into the nearest 10th

As 8 > 5

The Circumference of the Circle will be 220 inches

Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).

Answers

Answer:

-3

Step-by-step explanation:

for this function you have to replace -1 were there's x in the function h(x)=2x-1

h(-1)=2(-1)-1

=-2-1

=-3

hope this helps

Tanisha has 7 less than 4 times as many
toy cars as Fernando. If Tanisha has 9
cars, how many toy cars does Fernando
have?
a. 2 toy cars
b. 4 toy cars
c. 8 toy cars
d. 29 toy cars

help!

Answers

Answer: D is my guess.

Step-by-step explanation:

If you multiply those two number and subtract it by tanisha that probably is your answer if I'm  incorrect I'm sorry hopefully this helped

plss helppp!!

pls show how is it done

solve the equation :

x³ = 3x² + 3x - 1

Answers

Answer:

x³ = 3x² + 3x - 1x³-  3x² -  3x + 1 = 0(x³ + 1) - 3x(x + 1) = 0(x + 1)(x² - x + 1 - 3x) = 0(x + 1)(x² - 4x + 1) = 0(x + 1)(x² -4x + 4 - 3) = 0(x + 1)((x - 2)² - (√3)²) = 0(x + 1)(x - 2 + √3)(x - 2 - √3) = 0x = -1x = 2 - √3x = 2 + √3
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