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soldier1979 [14.2K]
3 years ago
7

1. Ten times the sum of -270 and a number gives -20.​

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

9514 1404 393

Answer:

  • equation: 10(-270 +n) = -20
  • number: 268

Step-by-step explanation:

If n represents the number, we have ...

  10(-270 +n) = -20 . . . an equation for n

__

The solution can be found as ...

  -270 +n = -2 . . . . . divide by 10

  n = 268 . . . . . . . add 270

The number is 268.

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A line contains the points (–4, 5) and (3, –9). Write the equation of the line using slope-intercept form.
Galina-37 [17]
(-4,5)(3,-9)
slope = (-9 - 5) / (3 - (-4) = -14 / (3 + 4) = -14/7 = -2

y = mx + b
slope(m) = -2
use either of ur points...(-4,5)...x = -4 and y = 5
now we sub and find b, the y int
5 = -2(-4) + b
5 = 8 + b
5 - 8 = b
-3 = b

so ur equation is : y = -2x + (-3) which can be written as : y = -2x - 3
4 0
4 years ago
Can someone give me the right answer for this please? I'm so confused
photoshop1234 [79]

Answer:

JK = 18

Step-by-step explanation:

LK = x - 1

KJ = x + 11

LJ = LK + KJ = x - 1 + x + 11

-> LJ = 2x + 10

LM = 12

By tangent secant segment theorem:

LK \times LJ = JM^2 \\  \\  \implies \: (x - 1)(2x + 10) =  {(12)}^{2} \\  \\  \implies \: x (2x + 10) - 1(2x + 10) =  144\\  \\  \implies \: 2x^{2}  + 10x - 2x  - 10 -  144 = 0\\  \\  \implies \: 2x^{2}  + 8x  -  154 = 0\\  \\  \implies \: 2(x^{2}  + 4x  -  77) = 0\\  \\  \implies \: x^{2}  + 4x  -  77 = 0\\  \\  \implies \: x^{2}  + 11x   - 7x-  77 = 0\\  \\  \implies \: x(x  + 11)   - 7(x + 11) = 0\\  \\  \implies \: (x  + 11)  (x - 7) = 0 \\  \\ \implies \: (x  + 11) = 0 \:  \: or \:  \:   (x - 7) = 0 \\  \\ \implies \: x   =  -  11 \:  \: or \:  \:   x  = 7 \\  \\ x \: can \: not \: be \: negative \\  \implies \: x \neq \:  - 11 \\  \\  \implies \: x = 7 \\  \\  \implies \: JK = x + 11 = 7 + 11 \\  \\ \implies \:  \huge \: { \orange{JK =18}}

Hope it helps you in your learning process.

Have a great day ahead.

4 0
2 years ago
What is the slope of the line that passes through the points (-5, -7) and (4,−1)? in the simplest form
Bad White [126]

It should be m=-5/9

3 0
3 years ago
IJ is a midsegment of FGH. IJ=10, FH=8, and GH=14.Find the perimeter of ijh
never [62]

Answer:

Perimeter = 21

Step-by-step explanation:

Given

IJ = 10

FH = 8

GH =14

Required

Calculate the perimeter of IJH

<em>See attachment for illustration</em>

From the attachment,

I = mid of FH.

So:

HI = \frac{1}{2} * FH

HI = \frac{1}{2} * 8

HI = 4

J = mid of GH.

So:

HJ = \frac{1}{2} * GH

HJ = \frac{1}{2} * 14

HJ = 7

Perimeter IJH is then calculated as:

Perimeter = HI + HJ + IJ

Perimeter = 4 + 7 + 10

Perimeter = 21

4 0
3 years ago
A hypothesis test has a significance level of 10%. Explain what this significance level represents.
beks73 [17]
In statistical methods, the significance level is a value that is used as a criterion for rejecting a null hypothesis. It used by first looking at the differences between the experimental results and from there the null hypothesis would be determined. Then, we assume that the null hypothesis is true, the probability of the differences is computed by using statistical tools. If the computed probability is less than or equal to the value of the significance level, then you conclude that the null hypothesis should be rejected and that the results are statistically significant. Usually, a significance level of 1% or 5% is used. 
6 0
4 years ago
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