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2 years ago

Can someone help? 15 points! :)

Mathematics

1 answer:

alukav5142 [94]2 years ago

3 0

Answer:

$\Large \boxed{\mathrm{see \ below}}$

Step-by-step explanation:

Given.

(4x)/7 - 6 = -20

The x variable should be isolated on one side of the equation.

<u>Adding 6 to both sides of the equation.</u>

(4x)/7 - 6 + 6 = - 20 + 6

(4x)/7 = - 14

<u>Multiplying both sides of the equation by 7.</u>

(4x)/7 × (7) = - 14 × (7)

4x = - 98

<u>Dividing both sides of the equation by 4.</u>

(4x)/4 = - 98/4

x = - 24.5

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Write and solve the following expression:<br><br>The sum of 7 and twice a number is 15

Nastasia [14]

Answer:

It would be 7 + 2x = 15

8 0

2 years ago

Parts of an algebraic expression separated by plus or minus signs are

goblinko [34]

Answer: called tthe term of an algebraic expression.

<h3 /><h3>Step-by-step explanation: We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).</h3><h3 /><h3>Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.</h3><h3>Terms of an algebraic expression:</h3><h3>Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.</h3>

Examples of algebraic expressions and their terms:

(i) x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii) 5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii) 3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

) 2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i) Simple algebraic expressions consist of one term.

(ii) Compound algebraic expressions consist of two or more terms.

3 0

1 year ago

Can someone please give me the answers to this? ... please ...

Hoochie [10]

Step-by-step explanation:

come on ! based on all the other questions that have been answered AND explained you should be able to find these answers yourself now. what is still unclear ?

distance between 2 points (x1, y1) and (x2, y2):

Pythagoras : c² = a² + b²

c is the connection between the 2 points (and which length we need to find).

c = sqrt(a² + b²)

a and b are differences of the x coordinates and the differences of the y coordinates of these 2 points.

a = x1 - x2

b = y1 - y2

this is simply because, when you look at the coordinate grid, these 3 items make a right-angled triangle.

don't worry about any negative values for a and b, as the square eliminates the negative sign.

midpoint between 2 points :

we could use Pythagoras again for this, but the end result is so simple, we can skip this.

at the end the coordinates of the midpoint of 2 points (x1, y1) and (x2, y2) are

((x1+x2)/2, (y1+y2)/2)

find the other endpoint (x2, y2), when you have one endpoint (x1, y1) and the midpoint (xm, ym) :

from above you know

xm = (x1+x2)/2

2×xm = x1 + x2

x2 = 2×xm - x1

and in the same way

ym = (y1+y2)/2

2×ym = y1 + y2

y2 = 2×ym - y1

and you can read a graph, right ?

if not it is high time to learn that very simple and basic skill :

the x coordinate of a point is how many units right (positive) or left (negative) from the center point it is.

the y coordinate of a point is how many units above (positive) or below (negative) from the center point it is.

the center point is always (0, 0).

so, what else do you need ?

I am very busy explaining things. I should not spend my little time doing the basic calculations for you (that I could train a monkey to do).

so, please, oil your brain machinery by following the instructions and formulas using the actual numbers and see how the results build out of this.

if you run into further problems, please ask me for additional explanations.

8 0

2 years ago

HELP ME PLEASE I NEED THIS LOVE U GUYS <33

Sedaia [141]

Answer:

$\huge\boxed{\sf Volume = 384 \ cm^3}$

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

<u>Finding the Height using Pythagorean Theorem:</u>

$\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm$

$\rule[225]{225}{2}$

<u>Now, Finding the volume:</u>

$\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}$

$\rule[225]{225}{2}$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

8 0

2 years ago

Which of the following equations represents a line that is perpendicular to y=-4x+9 and passes through the point, (4,5)?

kap26 [50]

Answer:

$y = \frac{1}{4}x + 4 \\or\\4y = x + 16$

Step-by-step explanation:

Given equation of line is:

y = -4x+9

Comparing it with the standard form

y = mx+b

m = -4

As we know that the product of slopes of perpendicular lines is -1

Let m1 be the slope of perpendicular line

m * m1 = -1

-4 * m1 = -1

m1 = -1/-4

m1 = 1/4

In order to find the value of b, putting the point in standard form

5 = (1/4)*4 + b

5 = 1 + b

b = 5-1

b = 4

Putting the value of b and m1 in standard form

$y = \frac{1}{4}x + 4 \\or\\4y = x + 16$ ..

3 0

2 years ago