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Svetradugi [14.3K]
2 years ago
6

Solve x2 − 10x = −13.

Mathematics
1 answer:
aev [14]2 years ago
6 0

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial x^{2}-10x+13. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

Substitute the numbers from the equation into the formula.

\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}

Simplify:

\frac{10+/-\sqrt{100-52} }{2}

\frac{10+/-\sqrt{48} }{2}

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with 5+/-\sqrt{48}.

Hope this helps!

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Will somebody help me with this ? Very much appreciated!! I’ll mark u as brainliest!
Mice21 [21]

Answer:

Step-by-step explanation:

y = x - 1/4

x = 1/4                  Put this value in for x

y = 1/4 - 1/4

y = 0

x = 13/4

y = 13/4 - 1/4        The denominators remain the same The numerators are subtracted.

y = (13 - 1)/4

y = 12/4

y = 3

If x is to = 2 then it must be changed so it's denominator is 4

2 = 8/4

y= 8/4 - 1/4

y = 7/4 or 1.75  or 1 3/4

3 0
2 years ago
VERY URGENT.
NemiM [27]

Answer:

(1)Base Area= 81 square yards.

(2)

  • 3 ft long and 16 ft wide
  • 6 ft long and 8 ft wide
  • 24 ft long and 2 ft wide

(3)Height=12 Units

Step-by-step explanation:

<u>Question 1</u>

Volume of the rectangular prism=2,592 cubic yards.

Height of the rectangular prism=32 yards

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=2592

32lb=2592

lb=2592/32=81

Base Area= 81 square yards.

<u>Question 2</u>

Volume of the rectangular prism=432 cubic feet.

Height of the rectangular prism=9 feet

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=432

9lb=432

lb=432/9=48

Base Area= 48 square yards.

Any dimension whose product is 48 is a possible choice.

They are:

  • 3 ft long and 16 ft wide
  • 6 ft long and 8 ft wide
  • 24 ft long and 2 ft wide

<u>Question 3</u>

<u />

Volume of the rectangular prism=960 cubic units.

Base Area of the rectangular prism, lb=80 Square Units

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=960

80h=960

h=960/80=12

Height= 12 units.

4 0
3 years ago
Please look at pic below. Will give 100 points!!!!! NUMBER 2 I NEED HELP
natta225 [31]

Answer:

#2

It is assumed the base of the prism is a square wit side of 5 cm.

<u>The volume is:</u>

  • V = Bh = 250 cm³

<u>The base is:</u>

  • B = a² = 5² = 25 cm²

<u>Find h:</u>

  • h = V/B
  • h = 250/25 = 10cm
3 0
3 years ago
Read 2 more answers
Please help!<br><br> If sin(xº)=cos(yº) find k if x=2k+3 and y=6k+7
USPshnik [31]

answer

10

step-by-step explanation

the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7

substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)

sin(x) = cos(y)

sin(2k + 3) = cos(6k + 7)

we know that sin(x) = cos(90 -x)

sin(2k + 3)

= cos(90 - (2k + 3) )

= cos(90 - 2k - 3)

= cos(87 - 2k)

substitute this into the equation sin(2k + 3) = cos(6k + 7)

sin(2k + 3) = cos(6k + 7)

cos(87 - 2k) = cos(6k + 7)

87 - 2k = 6k +7

80 = 8k

k = 10

7 0
3 years ago
Which point is on the graph of the equation y=2x-5?
Svetlanka [38]

Answer:

(2,-1)

Step-by-step explanation:

If you plug each answer into the equation, (2,-1) is the only answer that makes the equation true. Hope this helps!

6 0
3 years ago
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