Solve the system of equations by substitution.

x+y= 0
2x+3y= 3

A. (-3,3)
B. (3,-3)
C. (-1,1)
D. (1,-1)

Answer:

Step-by-step explanation:

Remark

Givens

Circumference = 27.004

pi = 3.14

Formula

C = 2*pi * r

Solution

27.004 = 2 * 3.14 * r

27.004 = 6.28 * r

27.004/6.28 = r

r = 4.3

Answer:

Question 13 is the third one. Number 15 is the second one.

Area of a triangle = (1/2)*base*height

For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.

5.

First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a and b are the sides of the triangle.

Substituting the given values and rounding to nearest tenth:

[tex]a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0[/tex]

Now that you have the height, you can find the area of the entire triangle.

A = (1/2)*base*height

A = (1/2)*8.8*9.0 = 39.6

6.

Same procedure.

[tex]a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2[/tex]

A = (1/2)*base*height

A = (1/2)*7.6*9.2 = 35.0

Answer: the answer is 4/7 your welcome

Answer:

12%

Step-by-step explanation:

Answer:

It is 12%

Step-by-step explanation:

Answer:

y=7

Step-by-step explanation:

x=3

Answer:

-1/3

Step-by-step explanation:

angle TS = 74°

Straight line is 180°, so add PT and SR

(64+42 = 106)

Subtract 180 from 106, you get 74 :)

Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

Answer:

the last one

Step-by-step explanation:

Answer:

Since the triangle we are dealing with is an isosceles triangle if MNO is 80° that means angle <OMN and < NOM are equal. Take 180°- 80°= 100°. Then divide by two to get each angle to get 50°.

Step-by-step explanation:

About integers and rounding off. Oopsie but we don't do it in Kenyan Syllabus. Hope I was helpful✌☺.

Step-by-step explanation:

since y=6x

by substitution

-5x+ 2 (6x)= -42

-5x+ 12x=-42

7x= - 42

divide both sides by 7

x= 6

y=6x

y =6*6

y=36

Answer:

The answer to the question is d

Answer:

D

Step-by-step explanation:

The equation has just 1 answer and that is 0

Value of x can only be 1 as this is a linear equation not a quadratic

Please mark my answer as brainliest for further answers:)

Answer:

No

Step-by-step explanation:

33-9=24

Answer:

hahah no , it's 24

Step-by-step explanation:

I can't agree with becky

Answer:

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

The axis of symmetry: [tex]x=\frac{-b}{2a}[/tex] when the equation is [tex]y=ax^2+bx+c[/tex]

The given equation is:

[tex]y=x^2-6[/tex]

To make the a and b values more easily identifiable, we can rewrite it like this:

[tex]y=1x^2+0-6[/tex]

Now, we can tell that a=1 and b=0. Plug these into the equation [tex]x=\frac{-b}{2a}[/tex] :

[tex]x=\frac{-(0)}{2(1)}\\x=0[/tex]

Therefore, the equation for the axis of symmetry for the parabola is x=0.

I hope this helps!

Answer:

(A) 126400

(B) 8.57%

Step-by-step explanation:

(A) According to the scenario, calculation of the given data are as follows,

Visitors in June = 121660

Let visitors in May = X

Difference in visitors number in June = 3.75% decrease

So, we can calculate the visitors number in may by using following formula,

Number of visitors in June = X - 3.75%X

121660 = 96.25%X

X = (121660 × 100) ÷ 96.25

X = 126400

Hence, Number of visitors in may = 126400

(B). Difference in visitors in July than in May = 4.5% increase

So, Number of visitors in July = 126400 + (126400 × 4.5%)

= 126400 + 5688

= 132088

Now, we will calculate increase in percentage by using following formula,

Increase percentage = (132088 - 121660)  ÷ 121660

= 10428 ÷ 121660

= 0.0857 or 8.57%

Answer:

[tex]D.\ (3,\frac{1}{8})[/tex]

Step-by-step explanation:

Given

[tex]y = (\frac{1}{2})^x[/tex]

Required

Points that lies on the above graph

From the given options, only option D lies on the point and the proof is as follows:

[tex]D.\ (3,\frac{1}{8})[/tex]

This means that:

[tex]x = 3;\ y = \frac{1}{8}[/tex]

Substitute [tex]x = 3;\ y = \frac{1}{8}[/tex] in [tex]y = (\frac{1}{2})^x[/tex]

[tex]\frac{1}{8} = (\frac{1}{2})^3[/tex]

[tex]\frac{1}{8} = \frac{1^3}{2^3}[/tex]

[tex]\frac{1}{8} = \frac{1}{8}[/tex]

See that the values at the right and left hand side of the equation are the same.

This means that, [tex]D.\ (3,\frac{1}{8})[/tex] lies on [tex]y = (\frac{1}{2})^x[/tex]

Answer:

h = 15 mm

Step-by-step explanation:

Given that,

The volume of a cone, V = 565.2 cubic millimeters

The radius of the cone, r = 6 mm

We need to find its height. The formula for the volume of the cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Where

h is the height of the cone

[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]

So, the height of the cone is equal to 15 mm.

Answer:Ming pays $25.96 to the cab driver.

Step-by-step explanation:

Ming took a cab across town, his fare of cab = $22.00

He leaves a tip of 18% of total fare = 18% of $22.00

Total amount = (18% of $22) + $22.00

( 18/100× 22) + 22.00

= (0.18 × 22) + 22.00

= 3.96 + 22.00

= $25.96

Ming pays $25.96 to the cab driver.

Answer:

It’s 2.5 minutes per mile

Step-by-step explanation:

Because 10/4 is 2.5 which means he’s riding his bike one mile per every 2.5 minutes.

EBK THE ANSWER IS Y O U R M O M I S G A Y

Answer:

x = 90°

Step-by-step explanation:

This is very simple. Any triangle embedded in a circle with it's long side as the diameter is a right triangle. Thus, x = 90°.