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3 years ago

What is the distance between (8, -3) and (4, -7)?

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

d=4√2

Step-by-step explanation:

distance formula = √(x2-x1)²+(y2-y1)²

d=√(4-8)²+(-7-(-3))²

d=√4²+(-4)²

d=√16+16 = √32=√2²*2²*2

d=4√2

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Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0

saw5 [17]

Answer:

The equation of the line is;

y = 3x + 18

Step-by-step explanation:

We want to write the equation of the line through (-9,-9) and (-6,0)

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3

The general equation of the line is;

y = mx + c

y = 3x + c

To get c, we use any of the points

we substitute for example -6 for x and 0 for y

0 = 3(-6) + c

c = 0 + 18 = 18

So the equation of the line is;

y = 3x + 18

4 0

2 years ago

Jason decided to look at new trucks. Jason found a used truck for 34,000 dollars. A new truck is 40,000 dollars so what percent

nexus9112 [7]

Answer:

Percent of rise of a new truck on a used truck = 15%

Step-by-step explanation:

Let x be the percentage of saved money if Jason buying a used truck.

Given:

Price of the used truck = $34,000

Price of the new truck = $40,000

We need to find the percent of rise Jason saves on a used truck rather than buying a new truck

Solution:

Using a percentage formula.

$percentage\ cost = \frac{(100-x)}{100}\times Original\ cost$

Substitute Percentage cost = 34,000 and Original cost = 40,000 in above formula.

$34000 = \frac{(100-x)}{100}\times 40000$

$34000 = (100-x)\times 400$ ( $\frac{40000}{100}=400$ )

Using cross multiplication rule.

$(100-x)=\frac{34000}{400}$

$85=100-x$

$x = 100-85$

x = 15%

Therefore, Jason used 15% rise of a new truck for a used truck.

6 0

3 years ago

If odd natural numbers are less than 7, then they are prime numbers.

guajiro [1.7K]

I think true?? i think! im really not sure but yea

5 0

2 years ago

What would be the volume of the cone that has the same measurement as the cylinder above in the pic

fomenos

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Volume of cone will be ~

$\fbox \colorbox{black}{ \colorbox{white}{volume} \: \: \: \: \: \colorbox{white}{=} \: \: \: + \colorbox{white}{462 \: cm³ }}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Let's find the volume of cone with ~

radius (r) = 7 cm

height (h) = 9 cm

And as we know, volume of cone is equal to ~

$\dfrac{1}{3}\pi {r}^{2} h$

now, let's plug in the values and find the volume ~

$\dfrac{1}{ \cancel{3} }\times \dfrac{22}{\cancel{7}} \times \cancel{7 }\times 7 \times \cancel{9}$

$1 \times 22 \times 7 \times 3$

$462 \: \: {cm}^{3}$

Volume of cone is 462 cm³ = 462 ml

7 0

2 years ago

Martha rolls two number cubes. What is the probability that both number cubes come up even?

Greeley [361]

The answer would be 2 I think

8 0

2 years ago

Read 2 more answers