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3 years ago

What is the distance between the points ( − 4 , 5 ) and ( 8 , 9 ) ?

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer:

Sqrt of 160

Step-by-step explanation:

The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160

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ohaa [14]

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3 years ago

A photo is 15 centimeters high and 9 centimeters wide. Mikael wants to proportionately shrink it so its height is 6 centimeters

gtnhenbr [62]

Answer:

6:3.6

Step-by-step explanation:

The hight of the photo=15

so,15=6

15 :- 2.5=6

9 divided by 2.6= 3.6

therefour, the answer will be 6:3.6

8 0

3 years ago

What is the solution to the equation 7^−3x ≈ 9?

igor_vitrenko [27]

Your answer is D. x = -0.376!

$7^{3x}=9\\x = -0.376$

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✉️ If any further questions, inbox me! ✉️

6 0

3 years ago

Read 2 more answers

What equation results from completing the squre and then factoring x^2+10=15

nlexa [21]

For this case we must complete squares:

$x ^ 2 + 10x = 15$

We add the square of half the coefficient of the term "x",

$(\frac {b} {2a}) ^ 2$ on both sides of the equation:

$x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15$

According to the perfect square trinomial we have:

$(a + b) ^ 2 = a ^2 + 2ab + b ^ 2$

Rewriting the expression we have:

$a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40$

ANswer:

$(x + 5) ^ 2 = 40$

6 0

3 years ago

. There are 575 students in a school. If the number of girls is 54 more than the boys

anzhelika [568]

there are 314.5 boys in the school .

Answer:

Solution given

let boys be x and girls be y.

now

according to the question;

x+y=575

and

y=x-54

substituting value of y in equation 1.

x+x-54=575

2x=575+54

x=629/2

x=314.5

4 0

3 years ago