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Cloud [144]
3 years ago
15

What is the distance between the points (7, −10) and (−8, −10)?

Mathematics
2 answers:
marin [14]3 years ago
7 0

Answer:

15

Step-by-step explanation:

Using the distance formula

Ganezh [65]3 years ago
4 0

Answer:

15

hope this helps please make mine the brainliest

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What is the radius of the circle given the equation x2 - 6x + y2 + 10y + 18 = 0?
arlik [135]
The\ equation\ of\ a\ circle:(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)-a\ coordinates\ of\ the\ center\\r-a\ radius

x^2-6x+y^2+10y+18=0\\\\x^2-2x\cdot3+y^2+2y\cdot5=-18\\\\x^2-2x\cdot3+3^2+y^2+2y\cdot5+5^2=-18+3^2+5^2\ \ \ |use\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-3)^2+(y+5)^2=-18+9+25\\\\(x-3)^2+(y+5)^2=16\\\\therefore\\\\Answer:\boxed{r=\sqrt{16}=4}
7 0
3 years ago
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = \frac{180-120}{2}=30

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = \frac{DC}{AC} =\frac{4}{x}

Since DCB is a straight line m∠ACD+m∠ACB =180

                                              m∠ACD = 180-m∠ACB = 60

Hence cos(60)=\frac{4}{x}

          x=\frac{4}{cos60}= 8

Now let us consider ΔBDE, sin(∠DBE) = \frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}

DE = 12sin(30) = 6cm

7 0
3 years ago
Manny goes bowling.
ycow [4]
I believe the answer is B. Hope this helps :)
5 0
3 years ago
Read 2 more answers
If .60 = N could you write the expression .60N
kirill [66]

Answer:

N+60

Step-by-step explanation:

7 0
2 years ago
Lois and Clark each ordered 3 posters that each cost x dollers. The postage for 3 posters is $5. Lois wrote an expression for th
konstantin123 [22]
The two equations are equivalent.

The postage for 3 posters is $5.
Lois$ wrote an expression for the total they both spent as 6x + 10 6(25) +10
150 +10 = 160

Clark wrote another expression for the total, saying that it represented the same cost: 2(3x + 5). = 2(3x) + 2(5) 6x + 10 = 6(25) + 10 = 150+10 160

If each poster costs $25, do the two expressions give the same amount?
7 0
3 years ago
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