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Tems11 [23]
3 years ago
15

Find the vertex of the graph of the equation y = 3x^2-6x+7

Mathematics
1 answer:
Masja [62]3 years ago
5 0
The vertex will be (1,4) I use a graphing calculator to find this answer
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Find the value if r so that the line passes through each pair of points has the given slope. (PLEASE HELP!)
Andru [333]
The\ slope-point\ form:y-y_1=m(x-x_1)\\-----------------------------\\6A:\\m=-5;\\(-2;\ 6)\to x_1=-2;\ y_1=6\\\\y-6=-5[x-(-2)]\\y-6=-5(x+2)\\y-6=-5x-5(2)\\y-6=-5x-10\ \ \ |add\ 6\ to\ both\ sides\\\boxed{y=-5x-4}\\\\put\ the\ coordinates\ of\ the\ point\ (r;-4)\to x=r\ and\ y=-4:\\-4=-5r-4\ \ \ |add\ 4\ to\ both\ sides\\0=-5r\\-5r=0\ \ \ \ |divide\ both\ sides\ by\ (-5)\\\boxed{r=0}\leftarrow answer



6B.\\
The\ same\ method:\\y-(-8)=-8(x-5)\\y+8=-8(x)-8(-5)\\y+8=-8x+40\ \ \ \ |subtract\ 8 from\ both\ sides\\\boxed{y=-8x+32}\\\\(r;-6)\to x=r;\ y=-6\\\\-6=-8(r)+32\\-6=-8r+32\ \ \ \ |subrtact\ 32\ from\ both\ sides\\-38=-8r\\8r=38\ \ \ \ \ |divide\ both\ sides\ by\ 8\\\boxed{r=4.75}
3 0
3 years ago
4. John wants to cover a box entirely with silver paper. How many square centimetres
masya89 [10]

Answer:

4.

l=22cm

b:16cm

h:10cm

surface area =2(lb+bh+lh)=2(22*16+16*10+22*10)

=1464cm²

5.

a=2.5dm

area cubical soda cracker box=6a²=6*2.5²=37.5dm²

6.

r=1.5dm

area of ball=4πr²=4π×1.5²=28.27dm² per ball

for 10 bal =28.27×10=282.6dm²

8 0
2 years ago
Can we conclude that two similar figures can also be congruent figures? Explain.
shusha [124]

Answer:

In similar figures, the angles are congruent, even if the sides are not. Notice that one angle in each pair of figures corresponds to an angle in the other figure. They have the same shape but not the same size

7 0
3 years ago
This is a timed quiz. Pls, help. 50 points. 6th-grade math.
bonufazy [111]

Answer:

They did not survey customers at restaurants across Monster World.

plz mark me as brainliest.

6 0
3 years ago
Read 2 more answers
ABC is translated 4 unite to the loft and 8 unito up, thon roflooted
gayaneshka [121]

Answer:

(-3, 13)

Step-by-step explanation:

Coordinate of A is (7,5)

4 units to the left means (7-4, 5) --> (3,5)

8 units up means (3, 5+8) --> (3,13)

Reflected across the y-axis means that the sign of whatever x coordinate you have now will be reversed.

So (-3,13)

3 0
2 years ago
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