All categories

3 years ago

Use the distributive property and the diagram to match an expression that is equivalent to 12+4x.

Mathematics

1 answer:

Ket [755]3 years ago

8 0

4(3+x)

This is because 4*3=12 and 4*x is 4x so you get 12+4x which is the original equation

You might be interested in

Someone help me, like I need it desperately

Ierofanga [76]

Answer:

S and U are centres of the respective circles.

a. Three radii of Circle S : SU , SR , ST

(Lines from the centre of the circle to its circumference)

b.Three radii of Circle U : US , UR , UT

(Lines from the centre of the circle to its circumference)

c.The radii of the two circles are equal to each other as they are congruent to each other.

3 0

3 years ago

State if the two triangles are congruent. If they are, state how you know.

ankoles [38]

Answer:

Step-by-step explanation:

yes congruent, by AAS

the angles are stating , w/ the little red lines that they are the same.. so we know two angles of the triangles are the same, and we also know that one side touching is the same. so yes.. AAS.

6 0

2 years ago

Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -

rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

$y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\$

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by D and its formula is

$D=b^2-4ac\\$

Where

a= the coefficient of the $x^{2}$

b= the coefficient of $x$

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .

Let us start with

$y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\$

Hence we have two real roots for this equation.

$y = 2x^2 - 6x + 5\\$

$y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D$

Hence we do not have any real root for this quadratic

$y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\$

Hence D>0 and thus we have two real roots for this equation.

$y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\$

Hence we have one real root to this quadratic equation.

7 0

3 years ago

What does these expression represent? 12f+24

Otrada [13]

Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.

Expplanation.

The expression 12f + 24 is an algebraic expression, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.

The algebraic expressions are used to represent word statements in mathematical language.

You can analyze each term of the expression and then tell what the total expresssion represents:

The first term 12f, where f is a variable with degree 1 (the exponent of the variable), represents the multiplication of a quantity (represented by the variable f) by 12.

24 is the constant term, it represents an constand addend.

Hence, the total expression represents the multiplication of a quantity by 12, and, after the multplication is done, added with 24.

5 0

3 years ago

Please include an explanation so I know how to do this. Thanks!

klasskru [66]

Hello there,

So we are trying to find out is the angle ∠BAC in degrees.

So what we are going to do is. . .25- (2x-10)°.

That answer would be -2x+35.

So ∠BAC= -2x+35°.
Hope this helps.

~Jurgen

7 0

3 years ago

Read 2 more answers