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slamgirl [31]
3 years ago
14

What is the solution set?

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

\left \{ {{y=x^2+2x+7} \atop {y=x+7}} \right. \left \{ {{x+7=x^2+2x+7} \atop {y=x+7}} \right. \left \{ {{x^2+2x-x+7-7=0} \atop {y=x+7}} \right. \left \{ {{x^2+x=0} \atop {y=x+7}} \right. \\\left \{ {{x(x+1)=0} \atop {y=x+7}} \right. \left \{ {{x_1=0, x_2=-1} \atop {y_1=0+7},y_2=-1+7} \right. \left \{ {{x_1=0, x_2=-1} \atop {y_1=7},y_2=6} \right.

There are 2 solution sets: (0,7) and (-1;6).

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A 12 cm by 20 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportion
nata0808 [166]

Answer:

A. 1.5 cm by 2.5 cm

B. 27 cm by 45 cm

C. 9 cm by 15 cm

D. 30 cm by 50 cm

Step-by-step explanation:

The dimensions of the original painting = 12 cm by 20 cm painting

Hence, the proportion is:

12/20 = 0.6

Hence, we compare the options given in the question.

A. 1.5 cm by 2.5 cm

= 1.5/2.5 = 0.6 , option A is correct

B. 27 cm by 45 cm

27cm/45 cm = 0.6 Option B is correct

C. 9 cm by 15 cm

9cm/15cm = 0.6 , Option C is correct

D. 30 cm by 50 cm

30 cm /50 cm = 0.6 Option D is correct

E. 6 cm by 14 cm

6cm/14 cm = 0.4285714286

Option E is not correct

Therefore, Options A to D are the correct options

6 0
3 years ago
Please help meeeeeeeeee
aalyn [17]
C.) 1600 pi cm3

When you do 10^2 you get 100 and you multiply that by the height so 16 and you get 1600.
3 0
3 years ago
Read 2 more answers
What is y - 2 = -3 [x-7] written in standard form
Akimi4 [234]
Y=-3x+23

distribute -3, get y alone (add 2 to both sides)
3 0
3 years ago
Please help. I’ll mark you as brainliest if correct.
stiks02 [169]

Answer:

$4600

Step-by-step explanation:

$3000 to pay off the car + $1600 to repaint the kitchen = $4600 owed on the home equity line of credit

3 0
3 years ago
Express answer in exact form.
Kruka [31]
We know that
<span>the regular hexagon can be divided into 6 equilateral triangles
</span>
area of one equilateral triangle=s²*√3/4
for s=3 in
area of one equilateral triangle=9*√3/4 in²

area of a circle=pi*r²

in this problem the radius is equal to the side of a regular hexagon
r=3 in
area of the circle=pi*3²-----> 9*pi in²
we divide that area into 6 equal parts------> 9*pi/6----> 3*pi/2 in²

the area of a segment formed by a side of the hexagon and the circle is equal to <span>1/6 of the area of ​​the circle minus the area of ​​1 equilateral triangle
</span>so
 [ (3/2)*pi in²-(9/4)*√3 in²]

the answer is
 [ (3/2)*pi in²-(9/4)*√3 in²]

6 0
3 years ago
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