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Harlamova29_29 [7]
2 years ago
10

At what point does the graph of 3x + 4y = 15 intersect the graph of x^2 + y^2 = 9? Express any non-integer coordinate as a commo

n fraction.
Mathematics
2 answers:
mars1129 [50]2 years ago
8 0

Answer

12 and 36 and 13

laiz [17]2 years ago
6 0

If  you need an explanation;

let's first isolate x in 3x + 4y = 15 ---

x = (15 - 4y) / 3

now substitute as x in the second equation provided ---

((15 - 4y) / 3)^2) + y^2  = 9,

((15 - 4y) / 3)^2) +( 3y/3)^2  = 9,

((15 - 4y)^2 + (3y/3)^2)/3^2 = 9,

225 - 120y +25y^2/9 = 9,

225 - 120y +25y^2 = 81,

25y^2 - 120y + 144 = 0

we now solve using the quadratic formula  ---

y_{1,\:2}=\frac{-\left(-120\right)\pm \sqrt{\left(-120\right)^2-4\cdot \:25\cdot \:144}}{2\cdot \:25}\\=\frac{-\left(-120\right)\pm \sqrt{0}}{2\cdot \:25}\\=\frac{-\left(-120\right)\pm \sqrt{0}}{2\cdot \:25}\\\\= 12/5

So then x = (15 - 4*12/5)/3 = 9/5. Our solution = (9/5, 12/5)

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Give the slope of any line that is parallel to the line y = -7x + 2
tatuchka [14]

Answer:

Slope of Parallel Line: -7

Step-by-step explanation:

A set of parallel lines will ALWAYS have the same slope. Perpendicular lines will have complete opposite slopes, for example, the slope of a line perpendicular to this one would be 1/7. If the slope is positive, the other slope will be negative and vice versa. For perpendicular lines, you also have to flip the fractions.

8 0
2 years ago
3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 27
Vladimir [108]
People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x

y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

hope this is right! have a great. day
7 0
3 years ago
Find the geometric mean of the pair of numbers
Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

G.M. =\sqrt{ab}

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

4 0
3 years ago
Could you please help me plzz I want to past my exam plzzzz
lorasvet [3.4K]
Pretty sure it’s D but if it is not then I don’t know
3 0
2 years ago
HELP!!!
Anuta_ua [19.1K]

Answer:

\$77,000 and the graph would fall at a slower rate to the right

Step-by-step explanation:

we have

y=Ao(0.79)^{x}

Observing the graph

The initial value Ao of the truck is equal to the y-coordinate of the y-intercept of the graph

so

Ao=\$77,000

If the depreciation rate was 15% per year, the new formula would be

y=Ao(1-0.15)^{x}

y=Ao(0.85)^{x}

y=77,000(0.85)^{x} ----> the graph would fall at a slower rate to the right

using a graphing tool

compare the graphs

8 0
2 years ago
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