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Alexus [3.1K]
3 years ago
11

1.

Mathematics
2 answers:
PolarNik [594]3 years ago
8 0
Question 1:

<span>5z – 9 = 36

5z = 45

z = </span>\frac{45}{5}

z = 9

Hence, the answer is D.

Question 2:

<span>5(2z + 4) = 0
</span><span>
10z + 20 = 0

10z = -20

z = </span>\frac{-20}{10}
<span>
z = -2

Hence, the answer is A.

Question 3:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a = 21

a = </span>\frac{21}{7}

a = 3

Hence, the answer is B.

Question 4:

<span>3(4x + 5) = 12

12x + 15 = 12

12x = 12 - 15

12x = -3

x = </span>\frac{-3}{12} = - \frac{1}{4}

Hence, the answer is A.

Question 5:

<span>4x – 8 – 4x = 9

-8 </span>≠ 9

Hence, the answer is A.
marshall27 [118]3 years ago
5 0
Ugh oh..sorry..First time user.. answer one 9. Answer three. 3
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Will give brainliest if you are right.
miv72 [106K]

Answer:

x-int (2, 0)

y-int (0, 3)

General Formulas and Concepts:

  • The y-intercept is the y value when x = 0.  Another way to reword that is when the graph crosses the y-axis.
  • The x-intercept is the x value when y = 0.  Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

<u>Step 1: Locate x-intercept</u>

x-int (2, 0)

<u>Step 2: Locate y-intercept</u>

y-int (0, 3)

8 0
3 years ago
Find the slope of the line passing through the pair of points and describe the line as rising,falling,horizontal or vertical
Nataly_w [17]

To find the slope of a line, we must find the change in y values divided by the change in x values, given by the formula y2-y1/x2-x1 and represented by the variable m. We use our values from the ordered pairs to compute the slope, as follows:

m = (5-1)/(4-2) = 4/2 = 2

Therefore, the slope is 2. Because the slope is positive, this means that the line is rising.

Hope this helps!

4 0
3 years ago
Find the solution to the system of equations. Select all that apply
PolarNik [594]

Answer:

A. (1,0)

Step-by-step explanation:

When you're solving a system of equations algebraically, you're finding the point that exists on both functions. So, when you're finding the solution graphically, you just need to find the point where the two functions intersect. In this case, it's A. (1,0)

5 0
3 years ago
Write an inequality for the sentence. <br><br> c is not less than zero.
Zepler [3.9K]

c  \leqslant 0
6 0
3 years ago
A triangle has one leg that measures 12 cm and a hypotenuse 24 cm. Find the length of the other leg to the nearest tenth of cent
Minchanka [31]

9514 1404 393

Answer:

  20.8 cm

Step-by-step explanation:

The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:

  x^2 +12^2 = 24^2

  x^2 = 576 -144 = 432

  x = √432 ≈ 20.8 . . . cm

The other leg is about 20.8 cm.

_____

<em>Additional comment</em>

A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.

7 0
2 years ago
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