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lianna [129]
2 years ago
9

A variable needs to be eliminated to solve the system of equations below. Choose the

Mathematics
1 answer:
sasho [114]2 years ago
4 0

Step-by-step explanation:

-4x - 2y = 18

+ (4x - 4y = -36)

=> -6y = -18, y = 3

As we added the equations together, we have eliminated x and found y.

Hence the correct answer is "Add to eliminate x".

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A tree 5 ft tall grows an average of 8 in. each year. Which equation models the tree’s height h after x years?
Tanzania [10]
H = 60 + 8x

h = Tree's height in inches

x = years of growth

4 0
3 years ago
Read 2 more answers
It was reported in your department meeting that over the past year your hospital decreased the number of employees by four perce
Tju [1.3M]

Answer:

Number of people employed this year = 373

Step-by-step explanation:

Let the number of employees this year = x

These employees were decreased by 4% then the remaining number of employees this year = x - (4% of x)

= x - 0.04x

= 0.96x

If last year number of people employed were 389 then the number of people employed this year = 0.96×389

= 373.44

When rounded to whole number, number of people employed this year = 373.

7 0
3 years ago
The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
Jane is planting flowers in her garden. She planted 8 flowers on Saturday and 10 on Sunday. So far she planted 2/5 of her flower
STALIN [3.7K]
She has 45 flowers, 18/2=9, 9*5=45
3 0
3 years ago
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Select the term that best describes the statement A triangle is acute provided all the angles have a measure of less than 90 deg
Burka [1]
I think the correct answer is conjunction...
3 0
3 years ago
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