What is the equation in point-slope form of the line passing through (−2, 1) and (4, 13)?y − 1 = −2(x − 4)
y − 1 = 2(x + 2)
y − 13 = −2(x + 2)
y − 13 = 2(x + 4)

Answers

Answer 1
Answer:

Answer:

y-1=2*(x+2)

Step-by-step explanation:


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The solution of the equation is x= .

Answers

Answer:

x=1

Step-by-step explanation:

Step 1:  Cross-Multiply

What cross multiply basically means is that you take both sides of the equation and you multiply my the opposite sides.  So you take the top of the left fraction and multiply it by the bottom of the right fraction.  You then have an equal sign and then have the bottom of the left fraction multiplied by the top of the right fraction.

(2)/(7)=(6x)/(4x+17)

2(4x+17)=7(6x)

Step 2:  Distribute

2(4x+17)=7(6x)

(2*4x)+(2*17)=(7*6x)

8x+34=42x

Step 3:  Subtract 8x from both sides

8x + 34- 8x = 42x - 8x

34=34x

Step 4:  Divide both sides by 34

34/34 = 34x/34

1=x

Answer:  x=1

The answer to your question would be X=1

3.78 is equivalent to what percent

Answers

it is 378% because 378/100= 3.78.
it is 378% because you move the decimal over

∠ABC and ∠DBC are complementary angles. If ∠ABC=6x+13 and ∠DBC=4x−3 what is the value of x?

Answers

Answer:

x = 8

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.

ABC + DBC = 90

6x+13+4x−3 = 90

10x+10 = 90

10x = 80

x = 8

Final answer:

By setting up an equation based on the relationship that the measures of complementary angles sum up to 90 degrees, we can solve for x and find that x equals 8.

Explanation:

To find the value of x, first understand that complementary angles are angles whose sum is 90 degrees. So if ∠ABC and ∠DBC are complementary angles, we know that their measures add up to 90 degrees.

Given ∠ABC=6x+13 and ∠DBC=4x-3, you can form the equation (6x + 13) + (4x - 3) = 90. Simplify the equation to get 10x + 10 = 90. Subtract 10 from both sides of the equation, you'll get 10x = 80. Finally, divide by 10 on both sides to solve for x, we find that x = 8.

Learn more about Complementary angles here:

brainly.com/question/15592900

#SPJ3

A circle has a circumference of 615.44615. point, 44 units. What is the radius of the circle?

Answers

Answer:

The radius is 98

Step-by-step explanation:

The circumference of a circle is the distance around the edge of the circle. To find the circumference, we use the formula C = 2πr. You have the circumference so substitute C = 615.44. Then solve for r.

C = 2πr

615.44 = 2πr

98 = r

Answer: 98 units

Step-by-step explanation:

At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
490x + 700y < 4000  
490x + 700y ≤ 4000  490x + 700y  > 4000  490x + 700y ≥ 4000

Answers

If
x is the number of microwave burritos
y is the number of peanut butter sandwiches
4000 is the maximum allowable sodium intake

Then, the inequality is:
490x + 700 y ≤ 4000

The correct answer is the second option.

Answer:

answer is b

Step-by-step explanation:

Line parallel to y=-3x 4 and goes through (-4,6)

Answers

y=-3x+4
Gradient, m= -3
Parallel lines have equal gradients;
So, equation II,
y=mx+c
y=-3x+c
Replacing for x and y using point (-4, 6)
6=-3(-4)+c
6=12+c
6-12=c
c=-6
y=-3x-6