All categories

2 years ago

NO LINKS!!!!!!!!! please solve it and explain it.

Mathematics

1 answer:

Usimov [2.4K]2 years ago

3 0

Answer:

Linear: y = 2x-1

Step-by-step explanation:

slope 1 = (5 - -9)/(3 - -4) = 14/7 = 2

slope 2 = (19-5)/(10-3) = 14/7 = 2

equation: y = mx + b b = y-mx = 19 - 2*10 = -1

y = 2x - 1

You might be interested in

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

y + 5 = 3/4 x

so, the last option is correct.

3 0

2 years ago

A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and

Readme [11.4K]

Answer:

$a(t) =n(0.25t^2)$

Step-by-step explanation:

Given

$r(t) = 0.5t$

$a(r) = nr^2$

Required

Determine the area in terms of time

From the question, we have:

$r(t) = 0.5t$ -> radius per time

and

$a(r) = nr^2$ --> area from radius

The interpretation of the question is to find the composite function: a(t)

If $a(r) = nr^2$ , and $r(t) = 0.5t$ , the

Substitute 0.5t for r

$a(t) =n(0.5t)^2$

$a(t) =n*0.25t^2$

$a(t) =n(0.25t^2)$

5 0

2 years ago

Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2?

adell [148]

Answer:

The correct option is right-bracket squared 3 squared =x+5

Step-by-step explanation:

The equation is \log _{3}(x+5)=2

Option a: \log _{3}(x+5)=3^{2}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option a is not equivalent to \log _{3}(x+5)=2

Option b: \log _{3}(x+5)=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Option c: x+5=3^{2}

This is possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option c is equivalent to \log _{3}(x+5)=2

Option b: x+5=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Thus, the correct option is c: x+5=3^{2}

Hence, the equation x+5=3^{2} is equivalent to \log _{3}(x+5)=2

8 0

3 years ago

Which is the only center point that lies on the edge of a triangle?

Alekssandra [29.7K]

Answer:

Circumcenter of a right triangle is the only center point that lies on the edge of a triangle. Step-by-step explanation: Circumcircle is the circle that passes through all three vertices of the triangle.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A fork costs £8.95 . Jay buys seven forks . How much does he spend?

tensa zangetsu [6.8K]

Answer:

£62.65

Step-by-step explanation:

Multiply by seven

8 0

3 years ago

Read 2 more answers