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2 years ago

The sum of 4 times a number and 9 is equal to 8. Use the variable b for the unknown number.

Mathematics

2 answers:

Alexxandr [17]2 years ago

8 0

Answers
4b+9=8
This is the required statement

romanna [79]2 years ago

7 0

Let the number be b

ATQ,

The sum of 4 times a number and 9 is equal to 8.

Sum means addition
Times means multiplication

$\boxed{ \tt \: 4b + 9 = 8}$

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Calcula la distancia que debe recorrer un teleférico, sabiendo que debe salir de la estación de servicio y llegar a la cima de l

GalinKa [24]

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3 years ago

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What is the equation of the line with slope of ½ , and which passes through the point

Law Incorporation [45]

Answer:

y = 1/2x - 7

Step-by-step explanation:

slope intercept form:

y = mx + b

y = -5

m(slope) = 1/2

x = 4

y = mx + b

substitute

-5 = 1/2*4 + b

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3 years ago

Need help with math question

mote1985 [20]

Answer:

(-7,4)

Step-by-step explanation:

goal: (y-k)^2=4p(x-h)

y^2-8y=4x+12 Rearranged and added 4x and 12 on both sides

y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)

y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)

(y-4)^2=4x+12+16 (now write the left hand side as a square)

(y-4)^2=4x+28

(y-4)^2=4(x+7) factored...

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3 years ago

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A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0

3 years ago

On Friday, the temperature changes -30 each hour. If the temperature changed for 7 hours, what is the total temperature change?

Marina86 [1]

A -120 difference will be seen in the temperature within a 7 hour period

Equation

-30 x 7

Multiplying two of different signs ( - + , + - ) will always be negative.

Multiplying two of the same sign ( - - , + + ) will always be positive.

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4 years ago