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3 years ago

When Joe solved a system using substitution, he got 7 = 9. What can Joe

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

Answer:

The system of equations does not have a solution

Step-by-step explanation:

Whenever you get a number = a different number, that means there's no solution.

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The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

Drupady [299]

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

${(7m)}^{2} - 2(7 \times 3)m + {3}^{2}$

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

$(7m - 3)^{2}$

$(7m - 3)(7m - 3)$

6 0

3 years ago

a garden table and a bench cost $1,025 combined the garden table cost $75 more than the bench what is the cost of the bench

lukranit [14]

It costs 1,100
you just add the two

7 0

3 years ago

Which of the following is equivalent to<br> 60 1/2

kotykmax [81]

Answer:

30 or 120 /4

Step-by-step explanation:

a^p/q here p denotes power raised and q denotes inverse power or root. So, 60^1/2 denotes square root of 60 raised to power 1.

3 0

2 years ago

In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

ankoles [38]

<h2>Answer:</h2>

$\boxed{\overline{MN}=37.96}$

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find $\overline{MN}$ . Since:

$\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm$

and $\overline{MN}$ is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

$\overline{RN}=\overline{QN}$

By Pythagorean theorem, for triangle NQP:

$\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}$

Applying Pythagorean theorem again, but for triangle MQN:

$\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}$

3 0

3 years ago

Find the complementary angle of the following <br>1)69°. 2)39°. 3)17°. 4)40°

Luden [163]

Answer:

1.)21°

2.)51°

3.)73°

4.)50°

Step-by-step explanation:

1.) 90° - 69°

= 21°

2.) 90° - 39°

= 51°

3.) 90° - 17°

= 73°

4.) 90° - 40°

= 50°

3 0

3 years ago