All categories

2 years ago

Given that

Mathematics

1 answer:

BaLLatris [955]2 years ago

8 0

Answer:

x=21/5

Step-by-step explanation:

5x:9 = 7:3

Turn the ratios into fractions:

5x/9 = 7/3

Then cross mutiply

15x=63

x=21/5

You might be interested in

Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B31%20-%20%28%20-%205%29%7D%20" id="TexF

Neko [114]

31-(-5) = 155
the square root of 155 is 12.45

4 0

3 years ago

Read 2 more answers

G(n)=-4n+2; find g(8)<br>

yarga [219]

Answer:

-30

Step-by-step explanation:

In g(8) the 8 = n. So, substitute 8 in for n in the expression -4n + 2

g(8) = -4(8) + 2 = -32 + 2 = -30

4 0

3 years ago

Read 2 more answers

What is the image of (-5, -1) after a reflection over the x-axis?

elena55 [62]

Answer:

(-5,1)

Step-by-step explanation:

solved by graphing

5 0

3 years ago

Read 2 more answers

The endpoints of are A(2, 3) and B(8, 1). The perpendicular bisector of is , and point C lies on . The length of is units. The c

Blababa [14]

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)

Step-by-step explanation:

According to the Question,

Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.

Now, Let The Coordinates of Point C are C( x , y ) .

Thus, C( x , y ) = ((8 +2) / 2 , ( 1 + 3 )/ 2 ) ⇒ (10/2 , 4/2) ⇒ (5 , 2)

The Coordinates of Point C are C( x , y ) ⇒C(5, 2).

And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .

Thus, The slope of CD is -1/(The slope of AB) = -1/(-1/3) ⇔ 3.

Let the coordinate of D be (a, b) then

⇒ √{ (b - 2)² +(a - 5)² } = √10

on squaring both sides we get,

⇒ a² - 10a + 25 + b² - 4b + 4 = 10

⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)

We Know, the slope of CD = 3

⇒Thus, (b - 2)/(a - 5) = 3

⇒ b - 2 = 3a - 15

⇒ b = 3a - 13 ⇔⇔ (Equation 2)

Putting value of Equation 2 into Equation 1, We get

⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

⇒10a² - 100a + 240 = 0

⇒a² - 10a + 24 = 0

⇒(a - 4)(a - 6) = 0

⇒a = 4 or a = 6

Now,

When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1

When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

5 0

3 years ago

Factor the polynomial completely using the X method. X2 13x – 48 An x-method chart shows the product a c at the top of x and b a

Ratling [72]

X method is the method to find the factors of the polynomial equation.The factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

<h3>How to find factor of polynomial using X method?</h3>

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

$ax^2+bx+c$

Given information-

The equation given in the problem is,

$x^2+13x-48$

Compare the above equation with the standard form. We get,

$a=1\\b=13\\c=-48$

To find out the factor of above equation using X method, follow the steps.

Step 1) Multiply $a$ and $c$ and place $ac$ at the top of X as shown in the image.

$ac=1\times(-48)\\ac=-48$

Step 2) Place $b$ at the bottom as shown in the image below.

$b=13$

Step 3) Find two numbers that multiply the top number $ac$ and to the bottom number $b$ .

Step 4) Write the polynomial from the X box as,

$x^2+16x-3x-48=x(x+16)-3(x+16)$

$x^2+16x-3x-48=(x+16)(x-3)$

Hence the factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

Learn more about the X method here;

brainly.com/question/24379507

8 0

3 years ago

Read 2 more answers