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2 years ago

What is the slope of the line shown below?

Mathematics

2 answers:

alexira [117]2 years ago

7 0

Answer:

The slope is given by 4/11.

D is the correct option.

Step-by-step explanation:

From the given graph, we have two points (-7,2) and (4,6)

In coordinate form, we have

$x_1=-7,y_1=2,x_2=4,y_2=6$

The slope of a line is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the known values, we get

$m=\frac{6-2}{4+7}$

On simplifying, we get

$m=\frac{4}{11}$

The slope is given by 4/11.

D is the correct option.

Brrunno [24]2 years ago

4 0

The slope is D) 4/11.

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El producto de dos números consecutivos es 552 cuáles son esos números?

lara31 [8.8K]

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

Entonces "El producto de dos números consecutivos es 552"

Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

$n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}$

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

n + 1 = 24

Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.

7 0

2 years ago

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i

lidiya [134]

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

$P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...$

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)= $0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51$

$P(X \geq 3)=1-P(X$

$E(X)=\frac{1}{p}$

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

$E(X)=\frac{1}{0.7}=1.42$

G) $E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33$

8 0

2 years ago

Find the first partial derivatives of the function. (sn = x1 + 2x2 + ... + nxn; i = 1, ..., n. give your answer only in terms of

liq [111]

Answer:

∂u/∂xi = i·cos(sn)

Step-by-step explanation:

For u = sin(v), the partial derivative of u with respect to xi is ...

∂u/∂xi = cos(v)·∂v/xi

In this case, v=sn, and ∂sn/∂xi = i, so the derivatives of interest are ...

∂u/∂xi = i·cos(sn)

6 0

2 years ago

Segment GI is congruent to Segment JL and Segment GH is congruent to Segment KL. I have to prove Segment HI is congruent to Segm

madreJ [45]

Answer:

See explanation

Step-by-step explanation:

1 step: $\overline{GI}\cong \overline {JL}$ - given

2 step: $\overline{GI}\cong \overline{GH}+\overline{HI}$ - Segments Addition Postulate

3 step: $\overline{GH}+\overline{HI}\cong \overline {JL}$ - Substitution Property

4 step: $\overline {JL}\cong \overline {JK}+\overline {KL}$ - Segments Addition Postulate

5 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {KL}$ - Substitution Property

6 step: $\overline{GH}\cong \overline {KL}$ - given

7 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {GH}$ - Substitution Property of Equality

8 step: $\overline{HI}\cong \overline {JK}$ - Subtraction Property of Equality

3 0

2 years ago

Learn by DoingHere are the directions, grading rubric, and definition of high-quality feedback for the Learn by Doing discussion

Dahasolnce [82]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Recommendation from the American Chiropractic Association:

No more than $10\%$ of body weight should be borne through kids

Third classification:

More than $10\%$ of its weight: $11 + 3 +0 +0 = 14$

ACA Suggestion proportion of children $= ( \frac{14}{21}) \times 100 = 66.67\%$

Fifth degree:

Over $10\%$ of body weight: $4 + 7 + 1 + 2 + 1 = 15$

ACA Suggestion for children $= (\frac{15}{22}) \times 100 = 68.18\%$

ACA suggestion doesn't quite follow either majority for third and fifth grades: fifth grades (68.18%) are marginally hyper-third grades (66.67%).

8 0

1 year ago