All categories

1 year ago

Solve, using the substitution method.

Mathematics

1 answer:

nydimaria [60]1 year ago

8 0

Answer:

[3m - n = 2]

-3m - n + n = 2 + n

3m - n + 2

-3m/3 = n+2/3

m=1/3 n+2/3

Answer:

m=1/3n + 2/3

[2m + n = - 7]

-Let's solve for m.

2m+n=−7

Step 1: Add -n to both sides.

2m+n+−n=−7+−n

2m=−n−7

Step 2: Divide both sides by 2.

2m/2= −n−7/2

m= −1/2n + −7/2

Answer:

m= −1/2n + −7/2

Now It's Your Turn!!

Step-by-step explanation:

(Hope's it's Help)

[Keeps Safe]

You might be interested in

The Tabletop Games club, a student-led campus group, hosted a virtual concert last week to raise awareness about their club and

valkas [14]

Answer:

chicken wings chicken wings hot dog and bologna chicken and macaroni, chillin wit my homies.

Step-by-step explanation:

8 0

2 years ago

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long

Pie

Answer:

Surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

$S = \frac{1}{2}pl+B$ ...... (1)

Here, p represents the perimeter of the base , $l$ the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid( $l$ ) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = $3 \times (side)$

= $3 \times 20 = 60 inches$

Area of equilateral triangle(B) = $\frac{\sqrt{3} }{4} \times (side)^{2}$

= $\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}$ square inches.

Substitute the above values in equation (1) as shown below:

$S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}$

$S= 390+100\sqrt{3}$ square inches

Hence, the surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches.

6 0

2 years ago

What is represented by an equation?

rodikova [14]

Step-by-step explanation:

Are you talking about functions or?

8 0

3 years ago

A cake shop bakes a variety of brownies. the top-selling brownies are ones with toppings of chocolate chip, walnuts, or both. a

sesenic [268]

The probability that they will pick neither the chocolate chip nor the walnut toppings is 0.3

We have

the total of all probabilities is 1.00, or 100%.

In the Venn diagram, we have the probabilities 0.2, 0.4 and 0.1; these sum to

0.2+0.4+0.1 = 0.6+0.1 = 0.7.

This leaves us 1.00-0.7 = 0.3 for the remaining probability of no toppings.

Learn more about Probability:

brainly.com/question/13604758

#SPJ4

6 0

1 year ago

2x2 - 4x –9 = 0<br> Completing the swuare

ASHA 777 [7]

Step-by-step explanation:

$(a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}$

4 0

2 years ago