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3 years ago

FINDING SLOPE FROM A TABLE

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Answer:

The code is 2,-3, 1, 1/2

So, the letters would make the word... “idea” <— that’s the letter code

Step-by-step explanation:

Use the slope-intercept form to find the slope, which is y = mx + b

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What is the y intercept of у = х2-5

Aloiza [94]

Answer: -5

Step-by-step explanation:

5 0

3 years ago

Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. The

vodomira [7]

Answer:

2) ABCD is a RECTANGLE.

Perimeter = 30 units

Step-by-step explanation:

Here, the given points of the quadrilateral are:

A(6, –4), B(11, –4), C(11, 6), D(6, 6)

Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:

$PQ = \sqrt{(c-a)^2 + (d-b)^2$

Use this to find the length of all 4 sides:

AB with coordinates A(6, –4), B(11, –4) is given as:

$AB = \sqrt{(11-6)^2 + (-4-(-4))^2} = \sqrt{(5)^2 + 0} = 5$

⇒ AB = 5 units

BC with coordinates B(11, –4), C(11, 6) is given as:

$BC = \sqrt{(11-11)^2 + (6-(-4))^2} = \sqrt{(0)^2 + 10^2} = 10$

⇒ BC = 10 units

CD with coordinates C(11, 6), D(6, 6) is given as:

$CD = \sqrt{(11-6)^2 + (6-6)^2} = \sqrt{(5)^2 + 0} = 5$

⇒ CD = 5 units

AD with coordinates A(6, –4),D(6, 6) is given as:

$AD = \sqrt{(6-6)^2 + (-4-(-4))^2} = \sqrt{(0)^2 + 10^2} = 10$

⇒ AD = 10 units

Now, here AB = CD = 5 units, AD = BC = 10 units

Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.

Hence, ABCD is a RECTANGLE.

Perimeter = AB + BC+ CD + AD = 5 + 10 + 5 + 10 = 30 units

8 0

3 years ago

The proof diagram to complete the question state the missing reason in the proof for the letter given

melisa1 [442]

ANSWER

First proved that line p is parallel to line r

to proof

As given in the question

∠1 ≈∠5

∠1 and ∠5 are corresponding angles

by using the property of the corresponding angles

two lines are cut by a transversal so that the corresponding angles are

congruent, then these lines are parallel.

As shown in diagram q is transversal line.

Thus by using the above property

line p is parallel to line r.

proof of 1(a)

REASON

Vertically opposite angle

The pair of angles formed when two lines intersect each other are called vertically opposite angles.

Thus

∠4 and ∠1 are vertically opposite angle

thus

∠4 ≈∠ 1

proof of 2(b)

REASON

Alternate interior angle

the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent .

as line p is parallel to line r (proof above)

q is transversal

thus

∠4 ≈∠ 5

Hence proved

proof of 3 (c)

As ∠4 ≈∠5 (proof above)

REASON

If two lines are cut by a transversal so that the alternate interior angles

are congruent, then these lines are parallel.

Thus by above property

line p is parallel to line r

Hence proved

4 0

3 years ago

Read 2 more answers

Pls help me with this question thank you

NARA [144]

Answer: It's D (56/3)

8 0

3 years ago

If you were to flip a coin 10 times, what is the probability that it will land on heads exactly 7 out of 10 times?

bezimeni [28]

Answer:

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.

Step-by-step explanation:

We can use basic binomial distribution, which is given by the formula:

$\displaystyle P(x) = {n \choose x}p^xq^{n-x}$

Where n represent the number of trials, x represent the number of successes desired, p represent the chance of success, and q represent the chance of failure.

Since we are flipping a coin 10 times, we are conducting 10 trials. So, n = 10.

We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes x is 7.

The probability of success p is 1/2.

And the probability of failure q is also 1/2.

Substituting:

$\displaystyle P(7)={10 \choose 7}\left(\frac{1}{2}\right)^7\left(\frac{1}{2}\right)^3=120\left(\frac{1}{2}\right)^{10}=\frac{120}{1024}=\frac{15}{128}\approx0.1172$

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.

8 0

3 years ago