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3 years ago

12

What will be the equation of a line that is

1 answer:

Mnenie [13.5K]3 years ago

8 0

Answer:

y=x+4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent. Plug in the coordinates we have into the formula, along with the slope from the original equation (-1). To check, we can plug the coordinates back into the equation.

y-(1)=-1(x+3)

y-1=x+3

y=x+4

Check:

(1)=(-3)+4

1=1

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A school paid $31.25 for each calculator.

Sonja [21]

Answer:

500/31.25=16

Step-by-step explanation:

The school bought 16 calculators

4 0

2 years ago

Find all the square roots of x2 ≡ 53 (mod 77)

Nikolay [14]

Answer:

$x=\pm\sqrt{77n+53}$

Step-by-step explanation:

We have been given an equivalence equation $x^2\equiv 53\text{ (mod } 77)$ . We are asked to find all the square root of the given equivalence equation.

Upon converting our given equivalence equation into an equation, we will get:

$x^2-53=77n$

Add 53 on both sides:

$x^2-53+53=77n+53$

$x^2=77n+53$

Take square root of both sides:

$x=\pm\sqrt{77n+53}$

Therefore, the square root for our given equation would be $x=\pm\sqrt{77n+53}$ .

3 0

3 years ago

Factor Completely: 10x + 15

tankabanditka [31]

Answer:

5(2x + 3)

Step-by-step explanation:

$10x + 15 \\ \\ = 2 \times 5 \times x + 3 \times 5 \\ ( take \: common \: factors \: out )\\ = 5(2 \times x + 3) \\ \\ = 5(2x + 3)$

3 0

2 years ago

Read 2 more answers

Kaitlyn bought movie tickets for herself and 12 family members. If a movie tickets costs $13.75 how much did kaitlyn spend on al

Virty [35]

12 people plus herself is 13 people. So 13.75(13)=178.75.

So, $178.75 for all tickets. But... I might be wrong.

7 0

2 years ago

Find the distance between the two points rounding to the nearest tenth (if necessary).

leonid [27]

Answer:

$\boxed {\boxed {\sf d\approx 4.2}}$

Step-by-step explanation:

The formula for distance is:

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

Where (x₁, y) and (x₂, y₂) are the points.

We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:

x₁= -6
y₁ = 6
x₂ = -3
y₂ = 3

Substitute the values into the formula.

$d= \sqrt{ (-3 - -6)^2+(3-6)^2$

Solve inside the parentheses.

-3 --6 = -3+6 = 3
3-6 = -3

$d= \sqrt{(3)^2+ (-3)^2$

Solve the exponents.

(3)²= 3*3= 9
(-3)²= -3*-3 =9

$d= \sqrt{9+9$

Add.

$d= \sqrt18$

$d= 4.24264069$

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.

$d \approx 4.2$

The distance between the two points is apprximately <u>4.2</u>

4 0

2 years ago