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3 years ago

Solve this system by using substituion 6x+5y=-13 y=-7×+9

Mathematics

2 answers:

Mumz [18]3 years ago

8 0

Answer:

Alright well to find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept substitute in 0 for x and solve for y

X-intercept: (9/13, 0)

Y-intercept: (0, 1/2) Hope this helps :)

Step-by-step explanation:

aliya0001 [1]3 years ago

3 0

6x + 5y=-13
y=-7x+9

6x + 5(-7x +9) =-13
6x -35x + 45 = -13
-29x + 45 = -13
-45. -45
-29x = -58
/-29
x = 2

y = -7x + 9
y = -7(2) + 9
y = -14 + 9
y = -5

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The radius of circle F is 19 cm what is the length of its diameter

aliina [53]

Answer:

38 centimeters

Step-by-step explanation:

Diameter is twice the radius so multiply 19 by 2.

4 0

3 years ago

In right triangle ABC, if angle A is 90 degrees, angle C is 34 degrees, and AC is 71.4, find BC.

AURORKA [14]

We are given that

In right triangle ABC, if angle A is 90 degrees, angle C is 34 degrees, and AC is 71.4, find BC.

Solution

We will first draw a diagram to illustrate the information

Above we want to find x

The method to use is SOHCAH

From the right angle triangle above we have above, we have the adjacent side and we want to find the hypotenus, so we use cosine

i.e

$\cos 34=\frac{71.4}{x}$

We need to solve for x here

$\begin{gathered} x=\frac{71.4}{\cos 34} \\ x=86.12396152 \\ x=86.1\text{ (to the nearest tenth)} \end{gathered}$

Thus, |BC| = 86.1 (to the nearest tenth

8 0

1 year ago

Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 12 hours. Simi

Mila [183]

Step-by-step explanation:

P and Q can do the whole work in 12 hours.

so, in 1 hour they can do 1/12.

P and R can do in 1 hour 1/15.

Q and R can do in 1 hour 1/20.

mathematically that looks like

P + Q = 1/12

P + R = 1/15

Q + R = 1/20

P + Q + R = 1/x

together they can do 1/x of the work in 1 hour.

it will take them x hours, if all 3 worked together.

from the first equation we get

P = 1/12 - Q

that gives us in the second equation

1/12 - Q + R = 1/15

R = 1/15 - 1/12 + Q = 4/60 - 5/60 + Q = Q - 1/60

but from the 3rd equation we get also

R = 1/20 - Q

so,

Q - 1/60 = 1/20 - Q

2Q = 1/20 + 1/60 = 3/60 + 1/60 = 4/60

Q = 2/60 = 1/30

R = Q - 1/60 = 2/60 - 1/60 = 1/60

P = 1/12 - Q = 1/12 - 2/60 = 5/60 - 2/60 = 3/60 = 1/20

so, we get for the sum :

P + Q + R = 3/60 + 2/60 + 1/60 = 6/60 = 1/10

that means in 1 hour they can do together 1/10 of the work.

so, together they will need 10 hours to paint the fence.

3 0

2 years ago

If an isoceles triangle has one angle that measures 38 degrees. What is the measurement of the other angles?

Ahat [919]

In an isosceles triangle, two of the angles are equal. And, a triangle’s three angles add up to 180.
So: if an isosceles triangle has one angle measuring 38 degrees, it also has another angle measuring 38 degrees. To find the measure of the third angle, subtract from 180 the sum of the two other angles. Like this: 180 - (38+38). Then solve it: 180 - 76 = 104.
So: the angles are 38 degrees, 38 degrees, and 104 degrees.

3 0

4 years ago

The function f(n) = 500(.85) n

Alex777 [14]

You're really seeing this problem in elementary school? Wow.

<span>The function f(n) = 500(.85) n
Represents the amount of money left in Jennifer's bank account after in years. At what rate is the amount of money in her account changing increasing or decreasing and at what rate

This problem involves exponentiation: f(n) = 500 (0.85)^n, where the
symbol " ^ " denotes exponentiation. f(n) = 500 (0.85) n is all multiplication and thus is not correct.

That 0.85 is the base of an exponential function, and n is the exponent.
Because this base is between 0 and 1, the function f(n) is DECREASING.

What do you think the rate is?</span>

7 0

3 years ago