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Pavel [41]
4 years ago
9

Solve for x. 4x^2+23x=−28

Mathematics
2 answers:
frutty [35]4 years ago
7 0
4x² + 23x = -28

4x² + 23x + 28 = 0     move all terms to one side.

4x² + 16x + 7x + 28 = 0   split the second term into two terms

4x(x + 4) + 7(x + 4) = 0    factor.

(x + 4)(4x + 7) = 0    factor.

x = -4, -7/4

hope this helps, God bless!
worty [1.4K]4 years ago
5 0
The answer is -7/4, -4
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For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B​
MakcuM [25]

Answer:

57.5°

Step-by-step explanation:

For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B​

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = Angle B

Opposite = Side AC 13.5

Adjacent = Side BC = 8.6

Hence:

tan θ = 13.5/8.6

θ = arc tan (13.5/8.6)

θ = 57.501354056°

Approximately = 57.5°

Therefore, Angle B = 57.5°

4 0
3 years ago
The drawing of a building, shown below, has a scale of 2 inches to 8.5 feet.
sashaice [31]

Answer:

36 1/8 feet

Step-by-step explanation:

x = height of house in feet

2"/8.5' = 8/5"/x

cross-multiply:

2x = 72.25

x = 36.125 or 36 1/8

5 0
3 years ago
Lan buys a two-quart bottle of juice for $6.40. What is the unit rate of the cost of the
Bumek [7]
1 quart = 32 ounces
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6 0
3 years ago
Ms.Carger has has to send some emails in the afternoon.It takes her 3 minutes to start up her computer and log-in to her email,
butalik [34]

Answer:

Ms. Carger would have sent \frac{x-3\\}{7} \\ emails in x minutes

Step-by-step explanation:

Firstly, Ms. Carger takes her 3 minutes to start up her computer and log-in to her email.

Therefore in x minutes, after starting up her computer and logging-in to her email, she would have x minutes minus the time used to start up her computer and log-in to her email. this implies she would have (x-3) minutes left for sending emails.

Since it takes 7 minutes to write and send each email,  in (x-3) minutes she would be able to send only \frac{x-3}{7} emails.

Therefore equation to represent the number of emails she can send in x minutes is \frac{x-3}{7} emails

6 0
3 years ago
Name the geometric term(s) modeled by each object
anyanavicka [17]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.

<h3>What is a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but the line with finite length and having fixed endpoints.

The geometric term(s) modeled by each object

9. Stop sign ⇒ Hexagon

10. Tip of pin ⇒ Point

11. Strings of a violin ⇒ Line

12. A car antenna ⇒ Line

13. A library card ⇒ Plane

Hence, The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.

Learn more about Line here:

brainly.com/question/21511618

#SPJ1

3 0
2 years ago
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