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Ilya [14]
3 years ago
13

Can someone please help me with this

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

Answer:

(a)\ (1,5)

Step-by-step explanation:

Given

(x + 9)^2 + (y - 4)^2 = 101

Required

Which of the points does it pass through

To do this, we simply substitute the values of x and y in the above equation.

So, we have:

(a)\ (1,5)

(x + 9)^2 + (y - 4)^2 = 101

(1 + 9)^2 + (5 - 4)^2 = 101

Solve each bracket

10^2 + 1^2 = 101

100 + 1 = 101

101 = 101

The above equation is true,

<em>Hence, it passed through </em>(1,5)

<em>We do not need to check for others</em>

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If 433 = 100% then what percent does 383 equal
Goryan [66]

Answer:

88.46%

Step-by-step explanation:

433 - 383 = 50

50 ÷ 433 = 0.1154

0.1154 x 100 = 11.54%

100% - 11.54% = 88.46%

<u>Check work:</u>

433 x 88.46% = 383

5 0
3 years ago
Multiply each polynomial <br><br> (x + 5)(x+4)<br><br> teach me step by step
lara [203]

Answer: x^2 + 9x + 20

Step-by-step explanation:

Foil Method: (a + b) (c + d) = ac + ad + bc + bd

Lets say:

a = x

b = 5

c = x

d = 4

Plugging in the numbers: xx + 4x + 5x + 5*4

Combine like terms:

xx = x^2

4x + 5x = 9x

5 * 4 = 20

You're then left with: x^2 + 9x + 20

6 0
3 years ago
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
What is the answer ?
notka56 [123]

Answer:

A) 2

Step-by-step explanation:

I<em>n a box-and-whisker plot, the left "whisker" is the bottom 25%, the line between the two "boxes" is to 50%, and the right "whisker" is the top 25%</em>.

In class 2, the 90 point mark is where the line between the boxes are, which means that 50% of the class earned 90% or less. That is 13/2 = <em>6.5 people</em> (this is impossible but it will work out)

In class 1, the 80 point mark is also where 50% is. So, half of the students, 17/2 = <em>8.5 people</em>, have 80 points or less.

<em>8.5 - 6.5 =</em> 2 people.

4 0
4 years ago
B
Tom [10]

Answer:

(a) 320 cm²

(b) 75 cm³

Step-by-step explanation:

The scale factor from A to B is 8/4 = 2.

The scale factor of the areas is 2² = 4.

The scale factor of the volumes is 2³ = 8.

(a)

80 cm² * 4 = 320 cm²

(b)

600 cm / 8 = 75 cm³

8 0
3 years ago
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