3 years ago

Find the distance between the following points (8 , -5) and (2, 13)

Mathematics

1 answer:

Kryger [21]3 years ago

6 0

Answer:

18.7

Step-by-step explanation:

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The country's area is 4.7×105 square kilometers. There is an average of 2.4×102 people per kilometer living in the country.

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What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?

Stells [14]

Answer:

y-intercept is -4

Step-by-step explanation:

(Refer to image)

Substitute the point and slope with the slope formula: y=mx+b and simplify

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3 years ago

11/ 42 Marks

amm1812

Answer:

(a)x=128 degrees

(b) $\angle APD\neq 116^\circ$

Step-by-step explanation:

$\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ$

(a) Now:

$\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ$

(b)

$\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ$

$\angle APD\neq 116^\circ$

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3 years ago

If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?

alexandr1967 [171]

Answer:

Is important to remember that the reflection of the point (a,b) across the y-axis is the point (-a,b).

Our original equation is $y= (x+2)^2$

And after the reflection respect x we got:

$y= (-x+2)^2$

Step-by-step explanation:

Is important to remember that the reflection of the point (a,b) across the y-axis is the point (-a,b).

Our original equation is $y= (x+2)^2$

And after the reflection respect x we got:

$y= (-x+2)^2$

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3 years ago