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Answer:

Ziad is 30 years old.

Marc is 10 years old.

Step-by-step explanation:

We will use m to represent Marc's age this year, and z to represent Ziad's age this year.

This year:

z = 3m

To show their relative ages in ten years time:

z + 10 = 2(m+10)

We can rearrange this to make m the subject.

z + 10 = 2m + 20

z = 2m + 10

We also know that m = 3z. We can substitute this value into our equation.

3m = 2m + 10

m = 10

Use z = 3m to find that z = 30.

Answer:

The answer is below

Step-by-step explanation:

We need to prove that:

(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.

Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.

Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A

[tex]\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA[/tex]

Answer:

the second one on the top right

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

You can tell by where the line crosses the y-intercept as a positive, and the direction in which the line is going tells you it has a negative slope

The answer is C. 6 blocks.

Answer:

C. 6 blocks is correct. I took the test and got that right :)

Step-by-step explanation:

Answer:

The answer is -5

Step-by-step explanation:

−11−(−6)

=−11−(−6)

=−11+6

=−5

Answer:

Brainliest are always appreciated :)

Step-by-step explanation:

For Number 1, just make a graph. (THE LINE WILL BE STRAIGHT)

For Number 2:

Proportional is when quantities have the same relative size. In other words they have the same ratio. The cocoa has an equivalent ratio which is why its proportional. This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Answer:

Gracias generous mane •‿•

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

Equation- 50+40h=210

Answer- h=4

Step-by-step explanation:

Just simplify the equation :)

50+40h=210

40h=160

h=4

The electrician worked for 4 hours.

Happy holidays!

Answer:

5280

Step-by-step explanation:

Answer:

100%

Step-by-step explanation:

percentage change is

(new price - old price) / old price

2 - 1 / 1

1 * 100% = 100%

please give thanks by clicking heart button! :)

All of the points on the graph could represent rational numbers. (-1, 0, 1, 4.5)

Answer:

B

Step-by-step explanation:

A: false, point C isn't a rational number

B: True, Every negative integer is a negative rational number, like point A

C: false, point D is a fraction, therefore, point D is a rational number

D: false, like said in A, point C isn't a rational number

Answer:

the turning point is (-2,-1)

i dont know the turning point but i hope this helps

Step-by-step explanation:

Answer:

a) (-2 , -1)

b) (-1 , 0) and (-3 , 0)

Step-by-step explanation:

For part a)

We can find the coordinates of the turning point by seeing at the graph where it turns the other way or in simpler words the axis of symmetry so if see the graph the axis of symmetry is the line x = -2 so that means the turning point is (-2 , -1).

For finding the turning point mathematically we compare the equation to its standard form which is:

[tex]x^2+4x+3=a(x-h)^2+k[/tex]

where h is the x coordinate  and k is the y coordinate of the turning point of the equation (h , k) = (x , y).

so just solve the left side,

[tex]a(x-h)^2+k\\a((x)^2-2(x)(h)+(h)^2)+k\\a(x^2-2xh+h^2)+k\\\\ax^2-2ahx+ah^2+k=x^2+4x+3\\[/tex]

and so we compare the coefficients of x^2 on the right and left side we get

[tex]a=1[/tex]

if we compare the coefficients of x on the right and left side we get

[tex]-2ah=4\\-2(1)h=4\\-2h=4\\h=\frac{4}{-2}\\\\h=-2[/tex]

now we compare the constants on the right and left side we get

[tex]ah^2+k=3\\(1)(-2)^2+k=3\\(1)(4)+k=3\\4+k=3\\k=3-4\\k=-1[/tex]

so the turning point is (-2 , -1) proven mathematically and graphically as well

For part b)

Roots of the equation are also called as x-intercepts which means where the graph intersects/cuts the x-axis so if see the graph it cuts the x-axis at 2 points  firstly at -3 and then at -1 so the roots of the equation would be (-1 , 0) and

(-3 , 0) the y coordinate is zero when the points lies on the x-axis.

for mathematically solving the equation we would equate the equation to zero

[tex]y=x^2+4x+3\\x^2+4x+3=0[/tex]

Now solve it by either factorizing or by using the quadratic formula we would get two values for x those are the roots of the equation

we solve it by factoring

[tex]x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+3)(x+1)=0\\x=-3\ ,\ x=-1\\[/tex]

proven mathematically as well as graphically.

Answer: s = 16

2(s - 10) = 12

distribute the 2

2s - 20 = 12

add 20 to both sides

2s = 32

divide both sides by 2

s = 16

you can then check your work by putting in the 16

2 (16-10) = 12

2 (6) = 12

12 = 12

Answer:

4

Step-by-step explanation:

divide by 2 and you will have your answer

Answer:

7 divided 2 is another way of saying 7/2 since division and fractions are alike.

Step-by-step explanation:

Answer:

because youre still dividing it either way;

Step-by-step explanation:

an improper fraction (7/2) you would have to see how many times the 2 goes into the 7 to get a proper fraction. its the same way with division, just less complicated and in a different format.

Answer:

38 feet

Step-by-step explanation:

P(x) = ℓ(x) + ℓ(x) + w(x) + w(x)

      = x + x + (4x - 1) + (4x - 1)

      = (x + x + 4x + 4x) + (-1 -1)

      = 10x - 2

P(4) = 10(4) -2 = 38

The perimeter is 38 feet when the length is 4 feet long, so Cho will need to

cover 38 feet with garden stones.

Answer:

Step-by-step explanation:

The first one is correct.

Answer:

The firest one( 2x + 8y ≤ 140 )

Step-by-step explanation:

Answer:

It is NOT possible to construct a quadrilateral from any 4 given measurements of its sides.

Step-by-step explanation:

We are asked to tell whether it is possible to construct a quadrilateral from any 4 given measurements of its sides.

Well, in order to construct a quadrilateral from any 4 given measurements of its sides, we need at least five dimensions.

With only 4 given measurements of its sides, we won't know any of its angles.

Thus, it is NOT possible to construct a quadrilateral from any 4 given measurements of its sides.

Answer:

7*6543=45801

Step-by-step explanation:

We have the digits 34567 and must arrange them into a product with the largest possible value.

It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.

Let's try with:

7654*3=22962

765*43=32895

76*543=41268

7*6543=45801

This last combination definitely produces the largest product

Answer: 7*6543=45801

Answer:

5280x=y

Step-by-step explanation:

5280(8) = 42240

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

Answer:

7.24 * 10^-5

Step-by-step explanation:

Answer:

C= -50x+475

Step-by-step explanation:

Step one:

given data

distance travelled = 475miles

velocity = 50miles per hour

let the distance you cover per hour be x

hence per hour, your distance decreases by 50x hours

Required:

The expression for the distance remaining

Step two:

let the distance remaining be C

hence the expression

C= -50x+475

Answer:

The answer is in the picture.

Answer:

x= 7/2

2(x+1)=9

x+1=9/2

x=9/2 - 1

x=7/2

Answer:

x=7/2 x=3.5

Step-by-step explanation:

divide both sides by 2

(x+1)(2)/2=9/2

simplify

x+1=9/2

subtract 1 from both sides

x+1-1=9/2-1

simplify

x=7/2

Answer:

-4x^4-9x^3+4x^2-7x-7

Step-by-step explanation:

Answer:

(-2,0),(0,-3)

Step-by-step explanation:

Set x to zero to find the Y intercept which is (0,-3)

Set Y to zero and use algebra to find out the x intercept which is (-2,0)

When you raise a number to a negative exponent, change the exponent to a positive and make the complete number a fraction with 1 as the numerator.

5 ^-2 = 1/5^2

The answer is C.