Write the slope-intercept form of the equation. 2y+5x=–1

Answer:

b

Step-by-step explanation:

2+2 = 4

Very easy, just add them lol gotem

Answer:

4

Step-by-step explanation:

2 + 2

Add the numbers.

= 4

Answer:

y=3/2x-2

Step-by-step explanation:

gradient line 1= -2/3

perpendicular meaning gradients when multiplied should be -1

gradient line 2=3/2

y+2=3/2

x-0

y+2=3/2(x-0)

y+2=3/2x-0

y=3/2x-2

The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)

The standard equation of a line is y = mx+c, where m is the slope of the line.

We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,

Therefore, the slope of the asked line is 3/2.

Finding the c,

-2 = 3/2X0 + c

c = -2

Therefore, the equation will be,

y = 3x/2-2

Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2

For more references on slope, click;

https://brainly.com/question/3605446

#SPJ2

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the x-axis and

stretched vertically

Step-by-step explanation:

Given:

If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).

If we multiply -F(x) by 2, we stretch it vertically.

Answer:

D

Step-by-step explanation:

Answer:

You would figure this out by the method of substitution

Step-by-step explanation:

a= -3/2

b= 5/4

c=7/8

a(b+c) = a(b)+a(c)

Substitute

-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)

-51/16 =-51/16

Answer:

[tex]24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2[/tex]

Step-by-step explanation:

Area of right triangle formula is

[tex]A=\frac{ab}{2} \\\frac{5\frac{3}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{3}{5}=\frac{28}{5}\\\frac{\frac{28}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8\frac{2}{3}=\frac{26}{3}\\\frac{\frac{28}{5}\cdot \frac{26}{3}}{2}\\\mathrm{Multiply\:}\frac{28}{5}\cdot \frac{26}{3}\::\quad \frac{728}{15}\\=\frac{\frac{728}{15}}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{728}{15\cdot \:2}\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=\frac{728}{30}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{364}{15}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{364}{15}=24\frac{4}{15}\\=24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666[/tex]

Answer:

Coordinates of M = [tex]\left ( -2,4 \right )[/tex]

Step-by-step explanation:

Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)

To find: coordinates of M

Solution:

According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]

Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]

Therefore,

[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]

Answer:

x < 6

Step-by-step explanation:

8x + 6 < 54

Subtract 6 from each side

8x+6-6 < 54-6

8x < 48

Divide each side by 8

8x/8 < 48/8

x < 6

Answer:

A: 12cm

B: 90 degrees

C: 60 degrees

Step-by-step explanation:

A. Measure of GH is 1/4 of perimeter of 48 cm

48/4=12

a is 12cm

B.  in a rhombus, diagonals are perpendicular,

FH and EG are perpendicular

So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees

thus measure of angle EJF is 90 degrees

C.

First lets find the measure of EJF

Since all the inner angles of the triangle add up to 180 degrees,

we can make an equation:

60+90+x=180

150+x=180

x=30

angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,

Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors

Thus EHJ=30 and GHJ=30

30+30=60

EHG = 60

so answer is 60 degrees

Answer:

[tex]5x^2+x-5[/tex]

Step-by-step explanation:

[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]

Hope this helps!

Answer: -1.3125

Step-by-step explanation:

(-1/4 - 1/2) = -0.75

-0.75/[tex]\frac{4}{7}[/tex] = -1.3125

Answer:

23 deg

Step-by-step explanation:

For angle x, 3 is the opposite leg.

sqrt(58) is the hypotenuse.

The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin x = opp/hyp

sin x = 3/sqrt(58)

sin x = 0.3939

x = sin^-1 0.3939 = 23 deg

Answer:

eqn : 9 x 9 x h = 1620

h = 1620 / 81 = 20

Step-by-step explanation:

Answer:

k = 0.086

Step-by-step explanation:

We have the equation

y=ne^(-kt)

where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.

We know the following data:

Replacing into the equation and solving for k:

[tex]y=ne^{-kt}[/tex]

[tex]\frac{n}{2}=ne^{-k8}[/tex]

[tex]0.5=e^{-k8}[/tex]

[tex]ln(0.5)=ln(e^{-k8})[/tex]

[tex]ln(0.5)=-k8ln(e)[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]k = 0.086[/tex]

Answer:

3. -5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

answer on edg 2020

Step-by-step explanation:

first change it to fraction

1/6

use long division method to simplify

you will get

0.66666666666

leave your answer in 2 place decimal

0.167

Answer:

[tex]x=8.5^o[/tex]

Step-by-step explanation:

Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.

So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:

[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]

Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:

[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]

Answer:

zero

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line is horizontal and parallel to the x- axis

Since the x- axis has a slope of zero then the line has a slope of zero.

Answer:

46

Step-by-step explanation:

44+x=90

x=46

Answer:

46 degrees

Step-by-step explanation:

When two angles are complementary, their measures must add up to 90 degrees. Therefore:

a+b=90

44+b=90

b=90-44

b=46 degrees

Hope this helps!

Answer:

1,178 cubic feet

Step-by-step explanation:

volume of cylinder is given by following formula

volume = [tex]\pi r^2l[/tex]

where r is the radius for cylinder and l is the height of cylinder.

____________________

given

diameter of cylinder = 10 feet

radius is half diameter

thus, radius = diameter/2 = 10/2 = 5 feet

height of the cylinder = 15 feet.

[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]

Thus, volume of cylinder is 1,177.5 cubic feet

volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.

Answer:

2

Step-by-step explanation:

sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16

sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8

thus 16/8 is 2

Answer:

in thirds so Dena gets 1/3 and Sue gets 2/3 which is half

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

12^1/2 * 12^1/2

= 12^(1/2 + 1/2)

= 12^1

= 12.

Answer:

-3/4

Step-by-step explanation:

The slope is given by

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

   = (-17- -2)/(24-4)

   = (-17+2)/ (24-4)

  = -15/20

  = -3/4

Answer:

y=-3/4x+1

Step-by-step explanation:

Answer:

d; below; y = −2x + 2

Step-by-step explanation:

the equality  ≤  means left to right that y is equal or less than. We see that 2 is equal or less than 3.

We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.

Answer:

B (1,0) hope this helps :)

Answer:

x>-2

Step-by-step explanation:

13+x>11

Subtract 13 from each side

13-13+x>11-13

x>-2

______________________________

Hey!!

Solution,

11x+4=3x+52

or,11x-3x=52-4

or,8x=48

or,X=48/8

X=6

So, the answer is 6.

Hope this helps...

Good luck on your assignment

_____________________________

Answer:

11x+4=3x+52

11x-3x=52-4

8x=48

8x÷8=48÷8

x=6

the answer is x=6