What is the gradient of the straight line 2y = -3x - 8 ? ​

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

Answer:

850

Step-by-step explanation:

850*0.3=255

Answer:

Step-by-step explanation:

If we take 1 cup of Original purple paint,

Ratio of blue and red paint = 2 : 3

Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups

Similarly, ratio of blue and red paint in the New purple paint = 5 : 7

If we take 1 cup of New purple paint,

Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups

Therefore, shade of both the mixtures will not be same.

Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.

Answer:

The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.

Then one angle is marked as a right angle meaning it has a measure of 90 degrees.

Using this information and the labels on the diagram we can set up an equation:

x+3x+2+90=180

Now we can solve for x.

4x+92=180

4x=88

x=22 degrees

The measure of one of the acute angles is 22 degrees.

Now to solve for the measure of the other acute angle.

Subsitute the value of x first.

x=22

(3x+2)=?

3*22+2=68 degrees

The measure of the other acute angle is 68 degrees.

In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)

Thus:

[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)

[tex]x + 3x + 2 + 90 = 180[/tex]

[tex]4x + 92 = 180\\\\[/tex]

[tex]4x = 180 - 92\\\\4x =88[/tex]

x = 22

Measure of one of the acute angles is 22 degrees.

To find the second acute angle measure, substitute the value of x

3x + 2 = 3(22) + 2 = 68 degrees

Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

Learn more here:

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The determinant of a 2x2 matrix is defined as

[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]

So, in your case, the determinant is

[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]

Given matrix is:

As we know that,

→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]

then,

The determinant will be:

= [tex]2\times 4-1\times 3[/tex]

= [tex]8-3[/tex]

= [tex]5[/tex]

Thus the above response is correct.

Learn more about determinant here:

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Answer:

Check box 4 and 5

Step-by-step explanation:

We know there can only be up to 2 solutions for a quadratic equation.

5x^2-2x-9=0 is your equation, make sure to move that 1 to the left

Now we can use the quadratic formula

a=5

b= -2

c= -9

x= −1.15647

x=1.55647

Thus I would select the last 2 boxes. Both of them are solutions.

Answer:

m = n = 14°

Step-by-step explanation:

The angle at the centre is twice the angle at the circumference subtended on the same arc.

angle at circumference = 0.5 × 98° = 49°, then

35° + m = 49° ( subtract 35° from both sides )

m = 14°

Angles subtended on the same arc are congruent.

m and n are 2 such angles, thus

n = m = 14°

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

21x - 20x = 6

x = 6

✔️20x

20(6) = 120°

Answer:

23.75

Step-by-step explanation:

Given that:

Brian's age = 27

Age of Chris is 17 more than one - fourth of Brian's age.

To find:

Age of Chris = ?

Solution:

Let age of Chris = [tex]x[/tex]

One - fourth of Brian's age =  [tex]\frac{27}{4}[/tex]

17 more than One - fourth of Brian's age = [tex]\frac{27}{4}[/tex] + 17

Therefore, we can write the equation as per question statement:

[tex]x = \frac{27}{4} + 17\\\Rightarrow x = 6.75+17\\\Rightarrow \bold{x = 23.75}[/tex]

Therefore, Chris is 23.75 years old if Brian is 27.

Answer:

A)200%

B)I dont know sorry

C) 57.14. Not sure tho

Hope they are correct

Answer:

12

Step-by-step explanation:

Because < this means less than. So therefore 5 is less than 12

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

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Answer:

y > x - 2.

2*y + x < 4

The correct option is the third one.

Step-by-step explanation:

First let's find the red shaded part.

We can see that the shade is above the line, then we will have something like:

y > a*x + b

where a*x + b is the equation for the line.

a is the slope, and b is the y-intercept.

In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:

b = -2

To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)

We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:

a = (y2 - y1)/(x2 - x1)

Then for this line, the slope will be:

a = (0 - (-2))/(2 - 0) = 2/2 = 1

Then the equation for this line is:

1*x - 2

And the inequality is:

y > x - 2.

Now for the blue one, the shaded part is below the line, then we will have:

y < a*x + b

In this case, the y-intercept is y = 2.

And we can see that this line passes through the points (0, 2) and (4, 0)

Then the slope is:

a = (0 - 2)/(4 - 0) = -2/4 = -1/2

Then this inequality is:

y < (-1/2)*x + 2

If we rewrite this as the ones shown in the options, we have:

y < (-1/2)*x + 2

2*y < -x + 2*2

2*y + x < 4

Then the two inequalities are:

y > x - 2.

2*y + x < 4

Then the correct option is the third one:

The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

Given the inequalities  y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.

The solution of the inequality on the graph is the very dark region.

Find out more on Inequality at: brainly.com/question/24372553

Answer:

y = - [tex]\frac{15}{74}[/tex]

Step-by-step explanation:

Given

- 3 [tex]\frac{7}{10}[/tex] = [tex]\frac{-3}{-4}[/tex] y = [tex]\frac{3}{4}[/tex] y ( change the mixed number to an improper fraction )

- [tex]\frac{37}{10}[/tex] = [tex]\frac{3}{4}[/tex] y

Multiply through by 20 ( the LCM of 10 and 4 )

- 74 = 15y ( divide both sides by 15 )

- [tex]\frac{74}{15}[/tex] = y

Answer:

C) 78

Step-by-step explanation:

its technically 77.5714... but rounds to 78, hope that helps

Answer:

It is 78 because when placed in numerical order it is in the middle

m=-2

b=4

Slope=-2x+4

y<-2x+4

Answer:A IS THE LINEAR FUNCTION

Step-by-step explanation: NO NEED FOR EXPLANATION

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of a line is:

                          y - y₀ = m(x - x₀)

where m is the slope and (x₀, y₀) is the point which the line passes through

The product of slopes of two perpendicular lines is  -1

so if given lines slope is ¹/₇ them:

     ¹/₇·m = -1

        m = -7

(3, -7)     ⇒    x₀ = 3,  y₀ = -7

Therefore:

               y - (-7) = -7(x - 3)

                y + 7 = -7(x - 3)

Answer:

Best of luck! I hope your exam goes well!!!

Step-by-step explanation:

5p/7-18=-43

5p/7=-43+18

5p/7=-25

5p=-25×7

5p=-175

p=-175/5

p=-35

not sure lol

Answer:

5p/7 = -43+18

5p/7 = -25

5p= -25*7

p = -35

Step-by-step explanation:

Answer:

A) 2x + y = -5

D) -2x = y

E) 2d = 4 - y

Step-by-step explanation:

Answer:

The answers you are looking for is.... A) 2x + y = -5

D) -2x = y

E) 2d = 4 - y

Step-by-step explanation:

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

Answer:

option b the median would decrease

Answer:

x<5

Step-by-step explanation:

Answer:

-2 > -15

Step-by-step explanation:

-2 is greater than -15

Answer:

(0, 13)

Step-by-step explanation:

The midpoint is halfway between the line segment. First find the distance from the starting point to the midpoint.

2-1 = 1. So Since the midpoint is behind the start point, we are going backwards (moving to the left on the x axis).

So 1 space left from the midpoint is 1-1=0.

For y, the distance between the start and mid is 6 - -1 = 6+1 = 7 spaces. Then add 7 spaces to the midpoint value of 6, so 7+6 = 13. We moved upwards on the y axis.

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