Oneta writes an algebraic a spression with 3 terms. the y-term has a coefficient of negative 3 and the x-term has a coefficient of one. the expression does not have a constant term which expression could she have written.

Option a. x - y^2 - 3y

Step-by-step explanation:

The options of the questions are

a. x - y^2 - 3y

b. x - 3y + 6

c. x + 3y^2 + 3y

d. x + 3y + 7

we know that

The expression has 3 terms

The y-term has a coefficient of negative 3 and the x-term has a coefficient of one

The expression does not have a constant term

Verify each case

case a) we have x - y^2 - 3y

The expression has 3 terms > is ok

The y-term has a coefficient of negative 3 ---> is ok

The x-term has a coefficient of one > is ok

The expression does not have a constant term > is ok

therefore

She could have written this expression

case b) we have x - 3y + 6

The expression has 3 terms > is ok

The y-term has a coefficient of negative 3 ---> is ok

The x-term has a coefficient of one > is ok

The expression does not have a constant term ---> is not ok (the expression have a constant term of 6)

therefore

She couldn't have written this expression

case c) we have x + 3y^2 + 3y

The expression has 3 terms > is ok

The y-term has a coefficient of negative 3 ---> is not ok (the y-term has a coefficient of positive 3)

therefore

She couldn't have written this expression

case d) we have x + 3y + 7

The expression has 3 terms > is ok

The y-term has a coefficient of negative 3 ---> is not ok (the y-term has a coefficient of positive 3)

therefore

She couldn't have written this expression

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)