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3 years ago

If you multiply a binomial by a binomial how many terms are in the product before combining like terms?

Mathematics

1 answer:

Mandarinka [93]3 years ago

5 0

Answer: 4

Step-by-step explanation:

A binomial has two terms. 2 terms × 2 terms = 4 terms.

Example:

(x + 2)(x + 3) = x² + 3x + 2x + 6

= x² + 5x + 6 after combining like terms

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Use the operation signs +,-, x, and ⌯ once each in the expression below to make the number sentence true. Why does your answer m

Zepler [3.9K]

Answer:

$6 * (3 - 1) + 5 \div 1 = 17$

Step-by-step explanation:

Given

$6\ [\ ]\ (\ 3\ [\ ]\ 1\ )\ [\ ]\ 5\ [\ ]\ 1\ =\ 17$

Required

Fill in the box with +,-, x, and ⌯ (once each)

This question is solved using trial by error approach.

After some tests, the solution that matches the equation is:

$6 * (3 - 1) + 5 \div 1 = 17$

6 0

3 years ago

Find the measure of each angle.

Galina-37 [17]

Given:

Given that the isosceles trapezoid JKLM.

The measure of ∠K is 118°

We need to determine the measure of each angle.

Measure of ∠L:

By the property of isosceles trapezoid, we have;

$\angle K+\angle L=180^{\circ}$

$118^{\circ}+\angle L=180^{\circ}$

$\angle L=62^{\circ}$

Thus, the measure of ∠L is 62°

Measure of ∠M:

By the property of isosceles trapezoid, we have;

$\angle L \cong \angle M$

Substituting the value, we get;

$62^{\circ}=\angle M$

Thus, the measure of ∠M is 62°

Measure of ∠J:

By the property of isosceles trapezoid, we have;

$\angle J \cong \angle K$

Substituting the value, we get;

$\angle J =118^{\circ}$

Thus, the measure of ∠J is 118°

Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°

4 0

3 years ago

A ball is thrown into the air. The height in feet of the ball can be modeled by the equation h = -16t2 + 20t + 6 where t is the

makkiz [27]

$f(t)=h=-16t^2+20t+6

$

a=-16, b=20, c =6

Δ= $b^2-4ac=20^2-4*(-16)*6=400+384=784$

$\sqrt{Δ}=\sqrt{784}=28$

max:

$p=-\frac{b}{2a}=-\frac{20}{-32}=\frac{20}{32}=\frac{5}{8}$

max heigh: $h=-16(\frac{5}{8})^2+20*\frac{5}{8}+6=-16\frac{25}{64}+\frac{100}{8}+6$

$h=-\frac{25}{4}+\frac{50}{4}+6=\frac{-25+50+24}{4}=\frac{49}{4}$

$h=\frac{49}{4}$ at $t=\frac{5}{8}s$

will fall down at t:

$t=\frac{-20-28}{-32}=\frac{-48}{-32}=\frac{3}{2}=1.5$

$t=1.5s$

8 0

3 years ago

How many students participated in the survey ?

-Dominant- [34]

50 students participated in the survey, if you need help with 2, 3, & 4, just comment and ask

8 0

3 years ago

How much time will it take for a bug to travel 5m across the floor if it is traveling at 0.5m/s?

goldenfox [79]

Answer:

10 seconds

Step-by-step explanation:

Every second the bug travels 0.5m/s or 0.5 meters per second.

Given that, every 2 seconds the bug will travel a full 1 meter.

To solve this one can simply divide 5m by 0.5 and get 10 seconds.

5 0

3 years ago