AB and CD are parallel find the value of y
Show clearly how you got your answers with reasons

Answer:

just subtract

Step-by-step explanation:

first go number by number and then subtract them and see the average rate of change and input that number

Given:

Consider the given expression is:

[tex]\dfrac{2c-a}{3c+b}-\dfrac{5a+4c}{c-a}[/tex]

To find:

The value of the given expression for [tex]a=3, b=-2, c=-4[/tex].

Solution:

We have,

[tex]\dfrac{2c-a}{3c+b}-\dfrac{5a+4c}{c-a}[/tex]

Substituting [tex]a=3, b=-2, c=-4[/tex], we get

[tex]\dfrac{2(-4)-(3)}{3(-4)+(-2)}-\dfrac{5(3)+4(-4)}{(-4)-(3)}[/tex]

[tex]=\dfrac{-8-3}{-12-2}-\dfrac{15-16}{-4-3}[/tex]

[tex]=\dfrac{-11}{-14}-\dfrac{-1}{-7}[/tex]

[tex]=\dfrac{11}{14}-\dfrac{1}{7}[/tex]

Taking LCM, we get

[tex]=\dfrac{11-2}{14}[/tex]

[tex]=\dfrac{9}{14}[/tex]

Therefore, the value of the given expression for [tex]a=3, b=-2, c=-4[/tex] is [tex]\dfrac{9}{14}[/tex].

Answer:

b=5

Step-by-step explanation:

the answer is in the image above

Answer:

5

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2 for right triangles where a and b are the legs and c is the hypotenuse.

In the image, b and 12 are legs and 13 is the hypotenuse, so b^2 + 12^2 = 13^2 -> b^2 = 13^2 - 12^2 = 169 - 144 = 25 -> b = 5

I hope this helps! :)

Answer:

-9

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous number:

117/-13

= -9

So, the common ratio is -9.

Answer:

Step-by-step explanation:

Apply the Distributive Property of Multiplication.  Multiply each of the three terms inside parentheses by -(1/2):

(3/4)x - 3x - (1/2) - 3x, or

(3/4)x - 6x - 1/2

The first two terms can be combined, to obtain:

(-5 1/4)x - 1/2, or (-21/4)x - 1/2

Answer:

These are the answers for A,B,C only. I am sorry but I can't answer the last one.

Answer:

This is a right triangle you can tell because a right triangle looks like a "L" on any side or what so ever

Step-by-step explanation:

Answer:

(x+5)(x-2)

Step-by-step explanation:

x^2 +3x-10

What two numbers multiply to -10 and add to 3

5*-2 = -10

5+-2 = 3

(x+5)(x-2)

Step-by-step explanation:

answer is in the photo above

Answer:

[tex]\displaystyle p = \frac{16}{q + 1}[/tex].

Step-by-step explanation:

Factor out the coefficient of [tex]x^{2}[/tex]:

[tex]\displaystyle \frac{1}{q + 1}\, [(q + 1)\, x^2 - 8\, x + p] = 0[/tex].

[tex]\displaystyle x^2 - \frac{8}{q + 1} \, x + \frac{p}{q + 1} = 0[/tex].

Let [tex]m[/tex] denote the real root of this equation. By the Factor Theorem, this equation would have the factor [tex](x - m)[/tex] repeated for two times in total:

[tex](x - m)^{2} = 0[/tex].

Expand to obtain: [tex]x^2 - 2\, m\cdot x + m^{2} =0[/tex].

Compare this expression with [tex]\displaystyle x^2 - \frac{8}{q + 1} \, x + \frac{p}{q + 1} = 0[/tex]:

[tex]\displaystyle -\frac{8}{q + 1} = -2\, m[/tex] (for the coefficient of [tex]x[/tex].)

[tex]\displaystyle \frac{p}{q + 1} = m^2[/tex] (for the constant.)

Rewrite the first equation to find an expression for [tex]m[/tex] in terms of [tex]q[/tex]:

[tex]\displaystyle m = \frac{4}{q + 1}[/tex].

Substitute this expression for [tex]m[/tex] into the second equation to find an expression for [tex]p[/tex] in terms of [tex]q[/tex]:

[tex]\displaystyle \frac{p}{q + 1} = m^2[/tex].

[tex]\displaystyle \frac{p}{q + 1} = \frac{4^2}{(q+1)^{2}}[/tex].

[tex]\displaystyle p = \frac{16}{q + 1}[/tex].

Verify that this expression for [tex]p[/tex] satisfies the requirements:

[tex]\displaystyle (q + 1) \, x^{2} - 8\, x + \frac{16}{q + 1} = 0[/tex].

[tex]\displaystyle x^2 - \frac{8}{q + 1} + \frac{16}{(q+1)^2} = 0[/tex].

[tex]\displaystyle x = \frac{4}{q + 1}[/tex] is the (repeated) real root of this quadratic equation.

Answer:52

Step-by-step explanation:

y

Answer:

let the ratio of zinc be x

6x

mass of the zinc=90kg

6x=90

x=15

for other metals

copper=13x=13*15=195kg

lead=x=15kg

mass of whole metal=195+90+15=300kgStep-by-step explanation:

Answer:

x - 3

Step-by-step explanation:

Jenna picked x.

Josh picked 2x - 3.

The difference is:

2x - 3 - x

which simplifies to

x - 3

Answer: x - 3

Answer:

26 hydrogen atoms

Step-by-step explanation:

Let us look at the formula presented for Adrenalin carefully. We will discover that the formula written there is 2C9H13NO3.

This means that that's there are 18 carbon atoms, 26 hydrogen atoms 2 nitrogen atoms and 6 oxygen atoms in the formula shown above.

This is so because the 2 written before the symbols of the elements must multiply the subscript of each element in order to obtain the number of atoms of that element present in the compound as shown.

Answer:

There are two types of similar triangle problems; these are problems that require you to prove whether a given set of triangles are similar and those that require you to calculate the missing angles and side lengths of similar triangles. Subtract both sides by 130°. Hence; By Angle-Angle (AA) rule, ΔPQR~ΔXYZ.

Step-by-step explanation:

Answer:

B. isosceles triangle

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

no angles shown are obtuse

there are no right angles in the triangle

none of the sides are equal

only two sides are equal which is what makes an isosceles triangle

Answer:

False

Step-by-step explanation:

Step-by-step explanation:

YOU ARE CORRECT

[tex] {7}^{(1 \times 9)} = {7}^{5 + 5} \\ {7}^{9} \: \: \: \: \: \: \: \: \: \: \: {7}^{10} [/tex]

the equation is false

Answer:

43 units^2

Step-by-step explanation:

Area of a rectangle is

A = l*w

The bottom rectangle is 3 by 11 for an area of 33

The top rectangle is  2 by 5 for an area of 10

Add the areas together

33+10 = 43

Answer:

To determine the probability of rolling any one of the numbers on the die, we divide the event frequency (1) by the size of the sample space (6), resulting in a probability of 1/6. Rolling two fair dice more than doubles the difficulty of calculating probabilities.

Step-by-step explanation:

Answer:

S = {1, 2, 3, . . . 49, 50}, n(S) = 50 (i) Condition for event A : number is divisible by 6. A = {6, 12, 18, 24, 30, 36, 42, 48} n(A) = 8 (ii) Condition for event B : the number on the card is a complete square. B = {1, 4, 9, 16, 25, 36, 49} n(B)

Step-by-step explanation:

100%SURE

FOLLOW ME

MARK ME AS BRAINLIEST

#CARRYONLEARNING

Answer:

68

Step-by-step explanation:

its an isoscles triangle(angles of equal sides are equal)

i hope it helps..

Answer:

B.  2(x+2)(x+1)

Step-by-step explanation:

[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 {x}^{2} + 6x + 4[/tex]

Taking 2 as common factor, we have

[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]

Taking the factor [tex](x+2)[/tex] as common,

[tex] = 2(x + 2)(x + 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

62.5

Step-by-step explanation:

Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5

Answer:

It's actually 13 groups

4 students will be left over

Step-by-step explanation:

Add all the students together

134

Divide 10

13 and remainder 4

Answer:

13 ; 4

Step-by-step explanation:

Total students = 24 + 21 + 33 + 36 + 20 = 134

grups that will be made = 134 : 10 = 13,4 = 13

13 x 10 = 130

Students that will be left overs = 134 - 130 = 4

Answer:

108

Step-by-step explanation:

65+110+87=252

360(Total angle of quadrilaterals)-252=108

Answer:

y=80

Step-by-step explanation:

when solve y-intercept let x=0

y= -16(0)2+64(0)+80

y=0+0+80

y=80

(0;80)

Answer:

2) slope=2

y intervept=2

3) slope=1/2

y intercept=-6

4)slope=2

y intercept=4

Answer:

y = 9x + (-7) should be the answer

Answer:

1/3

Step-by-step explanation:

3x -9y =4

To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)

Subtract 3x from each side

-9y = -3x+4

Divide each side by -9

-9y/-9 = -3x/-9 +4/-9

y = 1/3x -4/9

The slope is 1/3 and the y intercept is -4/9

Here,

3x -9y =4

To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)

Subtract 3x from each side

-9y = -3x+4

Divide each side by -9

-9y/-9 = -3x/-9 +4/-9

y = 1/3x -4/9

The slope is 1/3 and the y intercept is -4/9

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