All categories

3 years ago

[02.03]

Mathematics

1 answer:

SVEN [57.7K]3 years ago

6 0

Answer:

2) Equation 1 and Equation 2 have the same number of solutions.

Step-by-step explanation:

The two given equations are

1) 15x + 6 = 41 and 2) 2x + 13 = 28

Solving both equations, we get

Solving (1) : 15x + 6 = 41 ⇒ 15x = 41 - 6 = 35

or, x = 35/15 ⇒ x = 7/3

Solving (2) : 2x + 13 = 28⇒ 2x = 28 - 13 = 15

or, x = 15/2 ⇒ x = 15/2

So, from above solutions we can say that Equation 1 and Equation 2 have the same number of UNIQUE solution.

You might be interested in

NEED HELP ASAP . SERIOUS ANSWERS .

const2013 [10]

The second option is correct

8 0

3 years ago

Simplify 3/15 - 2/25

Alik [6]

Make the denominators equal by multiplying them:
$\frac{18}{75} - \frac{6}{75}$
Subtract:
$\frac{12}{75}$
Simplify:
$\frac{4}{25}$
The answer is
$\frac{4}{25}$
or 0.16

4 0

3 years ago

Classify the triangle with 9, 15, 19 as an acute right obtuse or not a triangle

Novosadov [1.4K]

Answer:

Hence the correct option is the last one . The triangle is an obtuse angled triangle.

Step-by-step explanation:

i) the sum of any two sides added together is greater than the third side hence this is a triangle.

ii) it is<em><u> not</u></em> a right angled triangle as $\sqrt{9^{2} + 15^{2} } \neq 19$ and $\sqrt{9^{2} + 15^{2} } < 19$

iii) the triangle is not acute from ii) above

iv) the triangle is an obtuse triangle from ii) above.

8 0

3 years ago

Geometry please need help I don’t know to do this try to help me please!!!!

jekas [21]

Step-by-step explanation:

Note that since $\triangle ABC \cong \triangle DEF,$ we can see from the figure that $\angle B$ and $\angle E$ have the same measure.

a) To solve for the length of $\overline{AB},$ we write

$3x + 6 = 4x \Rightarrow x = 6$

b) Since the two triangles are congruent, we can say that $\angle A = \angle D$ so we can write

$6y + 12 = 8y + 2$

Solving for y, we get

$2y = 10 \:\Rightarrow \:y = 5$

4 0

3 years ago

use the graph to find the solution to the system of equations. Write your answer as an ordered pair . Y=x+3 and y=2x-1

alekssr [168]

I believe the answer would be (-3,-5).
Place the equations on top of each other and figure out how to cancel out one of the digits to get your answer. Try canceling out 2x. Multiply the entire equation y=x+3 by -2 to contradict the second equation. y=x(-2)+3(-2) then you'd get y=-2x-6. -2x-6 above 2x+1, solve. -2 and 2 cancel out so you're left with -6+1, therefore, y=5. Now that you have your y, you must solve for x. Using substitution to solve the equation (I picked 2x+1) you'd get -5=2x+1. Subtract 1 on both sides. +1-1=0 so that cancels out. -5-1=-6 and you're left with -6=2x. So you subtract 2 on both sides because 2 has the variable, and you are left with x=-3. Therefore, the answer is (-3,-5).

6 0

4 years ago