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3 years ago

What is the solution of |-1 + x| = 5

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

Answer:

6, -4

Step-by-step explanation:

abs(-1+x)=5

-1+x=5 and -1+x=-5

-------------------------

-1+x=5

x=5-(-1)=5+1=6

-------------------

-1+x=-5

x=-5-(-1)=-5+1=-4

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Select the correct answer from each drop-down menu.

serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

$(x-h)^2+(y-k)^2=r^2$

We substitute the center and the radius into the formula to get;

$(x-4)^2+(y-8)^2=2.5^2$

$(x-4)^2+(y-8)^2=6.25$

6 0

3 years ago

PLEASE HELP, need so I can graduate.

soldi70 [24.7K]

Answer: I think it's C

Step-by-step explanation:

7 0

3 years ago

*BEST ANSWER WILL BE MARKED BRAINLIEST*

Gwar [14]

Alright

for a 45-45-90 triangle, if the legs are x then the hytponuse is x√2

so LM=x√2 is right
NM=x

also, tan=oposite side/adjacent side
so that would be LN/MN or MN/LN=x/x=1

so that would be tan(45)=1

so you want to check the 1st one, 3rd one and 5th one

NM=x
LM=x√2
tan(45°)=1 are the answers

4 0

3 years ago

Read 2 more answers

Which value of I makes the equation 6 (0.52 – 1.5) + 20 =-9- (1 + 6) true? 0 - 14 O1 14

Virty [35]

-1 you are correct about that answer

6 0

3 years ago

What is the least common denominator of 7/10 and 4/9

melisa1 [442]

Answer:

7/10 = 63/90

4/9 = 40/90

Step-by-step explanation:

Rewriting input as fractions if necessary:

7/10, 4/9

For the denominators (10, 9) the least common multiple (LCM) is 90.

LCM(10, 9)

Therefore, the least common denominator (LCD) is 90.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

7/10 = 7/10 × 9/9 = 63/90

4/9 = 4/9 × 10/10 = 40/90

6 0

3 years ago