MATHEMATICS HIGH SCHOOL

A set of equations is given below:Equation A: c = 2d + 1
Equation B: c = 3d + 5

Which of the following is a step that can be used to find the solution to the set of equations?

2d + 1 = 3d + 5
2d = 3d + 5
2d + 1 = 3d
2d + 5 = 3d + 1

Answers

Answer 1

Answer:

Answer:

The correct option is 1.

Step-by-step explanation:

The given set of equations is

Equation A: c = 2d + 1

Equation B: c = 3d + 5

Using equation A and equation B, equate the value of c.

$2d+1=3d+5$

$1-5=3d-2d$

$-4=d$

The value of d is -4. So the value of c is

$c=2d+1=2(-4)+1=-7$

The equation 2d+1=3d+5 is used to find the solution to the set of equations, therefore the correct option is 1.

Answer 2

Answer: 2d+1=3d+5.
If both equations equal c, then both equations can be equal to each other.

Related Questions

3 sinx + 4 cosx = 5
Factor completely 36x^2y^3 − 9xy^2.9y^2(4x^2y − x) 9xy^2(4xy − 1) 9xy(4xy^2 − y) 9x(4xy^2 − y^2)
What is 15/8 as a mixed number
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?
solve for y.try factoring first,if factoring is not possible or difficult use quadratic formula,(y2 2isabovey -10y+23=0)

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2. Determine, to the nearest tenth of a second, when the ball hits the ground.

Answers

When the ball hits the ground, the height is 0.

0 = 100 - 16t²

0 = (10 - 4t)(10 + 4t)

0 = 10 - 4t or 0 = 10 + 4t

4t = 10 or -4t = 10

t = $(10)/(4)$ or t = $-(10)/(4)$

Time cannot be negative (unless you have a time machine) so disregard $-(10)/(4)$

Answer: t = $(5)/(2)$ = 2.5 seconds

Lin rode a bike 20 miles in 150 minutes. She rode at a constant speed. How long did it take her to ride 6 miles

Answers

Answer: 45 minutes

Step-by-step explanation:

She rides 150/20 minutes per mile which is 7.5 minutes per mile. So it would take her 45 minutes to ride 6 miles because 6 × 7.5 = 45.

Which number line correctly shows 1.5+2.5?

Answers

Answer:

The first one!

Step-by-step explanation:

Answer:

A correctly displays the number.

Step-by-step explanation:

Instructions:Select the correct answer from each drop-down menu. ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is °. It will take increments of that degree of clockwise rotation for A′ (the image of A) to coincide with C. NextReset

Answers

Answer:

Remember that regular octagon is a figure with eight sides, where all of them are equal. The image attached shows a regular octagon.

So, if we want to map the octagon on to itself using rotation, we need to rotate 90° clockwise, or make to moves of 45° each, that way the octagon would be as the original one because it has equal sides.

When you rotate the first 45°, you would have like an inclined octagon, so you need to rotate another 45° to get the same octagon as the original.

So, the minimum degree would be 45°, doing it twice.

It would be 45 degrees. Since a an octagon takes 8 turns to go around and there is a total of 360 degrees, you can divide 360 by 8 to get your answer of 45 degrees. For answering questions like this you need to take 360 and divide it be the amount of sides to get the minimum amount of degrees of rotation.

Triangle $ABC$ with vertices of $A(6,2)$, $B(2,5)$, and $C(2,2)$ is reflected over the x-axis to triangle $A'B'C'$. This triangle is reflected over the y-axis to triangle $A''B''C''$. What are the coordinates of point $C''$

Answers

Answer:

C''(-2, -2)

Step-by-step explanation:

Reflection over the x-axis negates the y-coordinate. Reflection over the y-axis negates the x-coordinate. Negating both coordinates of C(2, 2) makes it ...

C''(-2, -2)

What is the range of y = sin θ ?