Combining like terms with negative coefficients

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

-3z - z = -3z - 1z = -4z

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You are tutoring a classmate in subtracting fractions. How might you summarize the rules for subtracting fractions with like den

maw [93]

To subtract fractions, let's put a generic example.
Be the fractions
(a / b) - (c / d)
With a, b, c and d other than zero.
The subtraction of fractions is given by:
(a / b) - (c / d) = ((a * d) - (c * b)) / (b * d).
If the fractions have the same denominator then the subtraction is
(a / b) - (c / b) = (a-c) / (b)
answer
(a / b) - (c / d) = ((a * d) - (c * b)) / (b * d)
(a / b) - (c / b) = (a-c) / (b)

7 0

3 years ago

Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T

Katyanochek1 [597]

Answer:

m∠QRT = 90°

m∠QRT = m∠SRT

Step-by-step explanation:

Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.

RT is angle T bisector, so angles QTR and STR are congruent.

Consider two triangles QTR and STR. In these triangles:

TR ≅ TR (reflexive property);
∠QTR ≅ ∠STR (given);
QT ≅ ST (given).

By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so

QR ≅ SR
∠QRT ≅ ∠SRT

Angles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to $\frac{1}{2}\cdot 180^{\circ}=90^{\circ}$