All categories

2 years ago

What is the solution to the equation below. 12 + square root 1 - 4x = 15

Mathematics

2 answers:

telo118 [61]2 years ago

8 0

Answer:

C) x = -2

Step-by-step explanation:

Original equation:

$12+\sqrt{1-4x}=15\\$

subtract 12 from both sides:

$\implies \sqrt{1-4x}=3$

square both sides:

$\implies 1-4x=9$

subtract 1 from both sides:

$\implies -4x=8$

divide both sides by -4:

$\implies x=-2$

allsm [11]2 years ago

4 0

$\\ \tt\rightarrowtail 12+\sqrt{1-4x}=15$

$\\ \tt\rightarrowtail \sqrt{1-4x}=3$

$\\ \tt\rightarrowtail 1-4x=3^2$

$\\ \tt\rightarrowtail 1-4x=9$

$\\ \tt\rightarrowtail -4x=8$

$\\ \tt\rightarrowtail x=-2$

You might be interested in

Math<br><br><br> is my answer correct??

matrenka [14]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Here's the solution ~

The given points are : (-7 , -4) and (1 , 1)

now, let's use distance formula to find the distance between them !

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:\sqrt{(x_2 - x_1)² +( y_2 - y_1)² }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{( - 7 - 1) {}^{2} + ( - 4 - 1) {}^{2} }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{( - 8)² +( - 5)² }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{64 + 25}$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{89}$

3 0

2 years ago

In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m

Olenka [21]

Consider $\Delta AOB\cong \Delta BDC$ .

Given:

$\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.$

To find:

The length of BC.

Solution:

We have,

$\Delta AOB\cong \Delta BDC$

We know that the corresponding parts of congruent triangles are congruent (CPCTC).

$AB=BC$ (CPCTC)

$5\ m=BC$

The length of BC is 5 m. Therefore, the correct option is A.

5 0

2 years ago

A book store has twice as many history books as science books. The store has 81 history and science books altogether how many of

atroni [7]

let h= history books

science books = s

h=2s there are 2 times as many history as science so to get them equal we double the science

h+s=81 there are 81 total history and science books

2s+s=81 substitute 2s for h in the above equation

3s = 81 combine like terms

s = 27

There are 27 science books

h=2s

h=2(27)

h=54

there are 54 history books

4 0

2 years ago

To estimate the number of people in Springfield, population 10,000, who have a swimming pool in their backyard, 250 people were

Andrei [34K]

Answer:

2400 people

Step-by-step explanation:

Let x be the number of people who had a swimming pool in the population of 10,000,

Thus, the ratio of people who had swimming pool to the total population = $\frac{x}{10000}$

Since, out of 250 people 60 had swimming pool,

So, the ratio of the people who had swimming pool to the total population = $\frac{60}{250}$

$\because \frac{x}{10000}=\frac{60}{250}$

$\implies 250x=600000$

$\implies x=\frac{600000}{250}=2400$

Hence, 2400 people in the city might one expect to have a swimming pool.

First option is correct.

8 0

2 years ago

Write 631.8 as a mixed number.

docker41 [41]

Answer:

631 4/5

Step-by-step explanation:

5 0

2 years ago