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3 years ago

Use the drop-down menus to complete each equation so the statement about its solution is true?

Mathematics

1 answer:

SashulF [63]3 years ago

7 0

5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2

NO SOLUTIONS:

5 - 4 + 7x + 1 = 7x + a (a - any real number, except 2)

ONE SOLUTION:

5 - 4 + 7x + 1 = bx + c (b - any real number, except 7, c - any real number)

INFINITELY MANY SOLUTIONS:

5 - 4 + 7x + 1 = 7x + 2

Examples:

2x + 3 = 2x + 5 subtract 2x from both sides

3 = 5 FALSE (NO SOLUTIONS)

2x + 3 = x - 4 subtract x from both sides

x + 3 = -4 subtract 3 from both sides

x = -7 (ONE SOLUTION)

2x + 3 = 2x + 3 subtract 2x from both sides

3 = 3 TRUE (INFINITELY MANY SOLUTIONS)

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kramer

Answer:

Step-by-step explanation:

7 0

3 years ago

Two sides of an acute triangle meaure 5 inches and 8 inches. The length of the longest side is unknown. What is the greatest pos

gladu [14]

The greatest whole possible whole number length of the unknown side is 9 inches.

<h3>How to identify if a triangle is acute?</h3>

Let us have:

H = biggest side of the triangle

And let we get A and B as rest of the two sides.

Then we get:

$A^2 + B^2 < C^2$

then the triangle is acute

Two sides of an acute triangle measure as 5 inches and 8 inches

The length of the longest side is unknown.

We have to find the length of the unknown side

WE know that the longest side of any triangle is a hypotenuse

For an acute triangle we know:

$A^2 + B^2 < C^2$

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

$A^2 + B^2 < C^2\\\\5^2 + 8^2 < C^2\\\\25 + 64= C^2$

c < 9

Hence, The greatest whole possible whole number length of the unknown side is 9 inches.

Learn more about angles;

brainly.com/question/14489478

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3 0

2 years ago

Evaluate 23x-1 for x = 1.

swat32

22 is the answer for 23x-1 for x=1

8 0

3 years ago

Help me to simplify; log_{5} 12.5+log_{5}10

liq [111]

Answer:

15.726

Step-by-step explanation:

log 5=0.698×12.5

=8.737

=0.698×10

=6.989

=8.737+6.989

=15.726

8 0

3 years ago

Which of the following is a secant on the circle below?

boyakko [2]

A. $\vec{KI}$ is the secant line on the below circle.

Step-by-step explanation:

The intersection of the circle will result in either Tangent or Secant. Secant is a line intersecting a circle at two different point. This concept explains the relation between the circle and line intersecting it.

From the given diagram,

The $\vec{GJ}$ and $\vec{GK}$ intersects the circle at the point H and I.

∴ It can also represented that the $\vec{JH}$ and $\vec{KI}$ intersects at a point G.

From the given options $\vec{KI}$ is the secant line that intersects the circle twice.

7 0

3 years ago